{"id":66,"date":"2023-08-05T20:30:12","date_gmt":"2023-08-05T20:30:12","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%80%e1%80%bd%e1%80%b2%e1%80%9c%e1%80%bd%e1%80%b2%e1%80%99%e1%80%be%e1%80%af\/"},"modified":"2023-08-05T20:30:12","modified_gmt":"2023-08-05T20:30:12","slug":"%e1%80%80%e1%80%bd%e1%80%b2%e1%80%9c%e1%80%bd%e1%80%b2%e1%80%99%e1%80%be%e1%80%af","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%80%e1%80%bd%e1%80%b2%e1%80%9c%e1%80%bd%e1%80%b2%e1%80%99%e1%80%be%e1%80%af\/","title":{"rendered":"\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101f\u102f\u101c\u100a\u103a\u1038 \u1001\u1031\u102b\u103a\u101e\u1031\u102c \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1015\u102b\u101e\u100a\u103a\u104b \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u104f \u1001\u102d\u102f\u1004\u103a\u1019\u102c\u101e\u1031\u102c \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a \u1021\u103d\u1014\u103a\u101c\u102d\u102f\u1004\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1012\u1031\u1010\u102c\u1019\u103b\u102c\u1038\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101c\u100a\u103a\u1038 \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1024\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u104f \u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u1004\u103a\u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-varianza\"><\/span> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a \u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101e\u100a\u1037\u103a \u1015\u103c\u1014\u1037\u103a\u1000\u103b\u1032\u1019\u103e\u102f\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/strong> \u1000\u103d\u1032\u101c\u103d\u1032\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u104f \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b<\/p>\n<p> \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1021\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1021\u1016\u103c\u1005\u103a \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1021\u101b\u102c\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u101b\u1015\u102b\u104b<\/p>\n<p> \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1010\u103d\u1004\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a\u101e\u1004\u103a\u1039\u1000\u1031\u1010\u101e\u100a\u103a \u1002\u101b\u102d\u1021\u1000\u1039\u1001\u101b\u102c sigma \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038 (\u03c3 <sup>2<\/sup> ) \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <em>Var(X)<\/em> \u1021\u1016\u103c\u1005\u103a\u101c\u100a\u103a\u1038 \u1021\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 <em>X<\/em> \u101e\u100a\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u1037\u103a \u1000\u103b\u1015\u1014\u103a\u1038 variable \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a <strong>\u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1015\u103c\u1014\u103a\u1006\u102d\u102f\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a<\/strong> \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1015\u102b\u101e\u100a\u103a\u104b \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u1000\u103c\u102e\u1038\u101c\u1031\u104a \u1012\u1031\u1010\u102c \u1015\u103c\u1014\u1037\u103a\u1000\u103b\u1032\u101c\u1031\u101c\u1031 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u101e\u1031\u1038\u1004\u101a\u103a\u101c\u1031\u104a \u1012\u1031\u1010\u102c\u1005\u102e\u1038\u101b\u102e\u1038\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101b\u102c\u1010\u103d\u1004\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101c\u103e\u100a\u1037\u103a\u1005\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1018\u102c\u101e\u102c\u1015\u103c\u1014\u103a\u1006\u102d\u102f\u101b\u102c\u1010\u103d\u1004\u103a <em>\u1021\u1005\u103d\u1014\u103a\u1038\u1000\u103d\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f<\/em> \u101e\u1010\u102d\u1011\u102c\u1038\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101f\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1019\u103e\u102c \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u104a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u104a \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-varianza\"><\/span>\u1000\u103d\u102c\u101f\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u1010\u103d\u1000\u103a\u1019\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1015\u102b\u1019\u100a\u103a-<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u104f <a href=\"https:\/\/statorials.org\/my\/\u1002\u100f\u1014\u103a\u1038\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\/\">\u1002\u100f\u1014\u103a\u1038\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1000\u102d\u102f<\/a> \u101b\u103e\u102c\u1015\u102b\u104b<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1012\u1031\u1010\u102c\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1019\u103e\u102f\u104f \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1021\u1000\u103c\u102c\u1038 \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1021\u1016\u103c\u1005\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u101a\u1001\u1004\u103a\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u101b\u101c\u1012\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1011\u100a\u1037\u103a\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1015\u102b\u104b \u101b\u101b\u103e\u102d\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u1019\u103e\u102c \u1012\u1031\u1010\u102c\u1005\u102e\u1038\u101b\u102e\u1038\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ol>\n<p> \u1014\u102d\u1002\u102f\u1036\u1038\u1001\u103b\u102f\u1015\u103a\u1021\u1014\u1031\u1016\u103c\u1004\u1037\u103a\u104a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u104f <strong>\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<\/strong> \u1019\u103e\u102c- <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/variance.png\" alt=\"\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\" class=\"wp-image-1262\" width=\"349\" height=\"259\" srcset=\"\" sizes=\"\"><\/figure>\n<p style=\"margin-bottom:5px\"> \u101b\u103d\u103e\u1031-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-996ff7036e644e89f8ac379fa58d0cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101c\u102d\u102f\u101e\u1031\u102c \u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u1012\u1031\u1010\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31318c5dcb226c69e0818e5f7d2422b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u101c\u1031\u1037\u101c\u102c\u1001\u103b\u1000\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5b485d4231dfeb4b50ddf271c3abb0b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> Random variable \u104f \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-996ff7036e644e89f8ac379fa58d0cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> .<\/li>\n<\/ul>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">\u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b \u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/u><\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1012\u1031\u1010\u102c\u1005\u102e\u1038\u101b\u102e\u1038\u1010\u1005\u103a\u1001\u102f\u1019\u103e \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101a\u1030\u101b\u1014\u103a\u104a \u1002\u100f\u1014\u103a\u1038\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u101c\u102d\u102f\u1021\u102c\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u101e\u102d\u1011\u102c\u1038\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1012\u102e\u101c\u102d\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1019\u1019\u103e\u1010\u103a\u1019\u102d\u101b\u1004\u103a \u1021\u1015\u1031\u102b\u103a\u1000 link \u1015\u102b\u1010\u1032\u1037 \u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1019\u103e\u102c \u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-varianza\"><\/span> \u101e\u103d\u1031\u1016\u100a\u103a\u1001\u103c\u1004\u103a\u1038\u1025\u1015\u1019\u102c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1000\u102d\u102f \u101a\u1001\u102f\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u102d\u1015\u103c\u102e\u1038\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1012\u1031\u1010\u102c\u1005\u102e\u1038\u101b\u102e\u1038\u1010\u1005\u103a\u1001\u102f\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f\u1019\u100a\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u101b\u101b\u103e\u102d\u101e\u100a\u103a\u1000\u102d\u102f\u101e\u1004\u103a\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1010\u1005\u103a\u1006\u1004\u1037\u103a\u1015\u103c\u102e\u1038\u1010\u1005\u103a\u1006\u1004\u1037\u103a\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<ul>\n<li> \u1014\u102d\u102f\u1004\u103a\u1004\u1036\u1005\u102f\u1036\u1000\u102f\u1019\u1039\u1015\u100f\u102e\u1010\u1005\u103a\u1001\u102f\u1019\u103e \u101c\u103d\u1014\u103a\u1001\u1032\u1037\u101e\u100a\u1037\u103a\u1004\u102b\u1038\u1014\u103e\u1005\u103a\u1021\u1010\u103d\u1004\u103a\u1038 \u101b\u101b\u103e\u102d\u1001\u1032\u1037\u101e\u1031\u102c \u1005\u102e\u1038\u1015\u103d\u102c\u1038\u101b\u1031\u1038\u101b\u101c\u1012\u103a\u1000\u102d\u102f \u101e\u102d\u101b\u103e\u102d\u1000\u103c\u1015\u103c\u102e\u1038 \u1021\u1019\u103b\u102c\u1038\u1005\u102f\u1019\u103e\u102c \u1021\u1019\u103c\u1010\u103a\u1021\u1005\u103d\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u101b\u101b\u103e\u102d\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1010\u1005\u103a\u1014\u103e\u1005\u103a\u101c\u103b\u103e\u1004\u103a \u101a\u1030\u101b\u102d\u102f \u1041\u1041.\u1045\u104a \u1042\u104a -\u1049\u104a \u1047 \u101e\u1014\u103a\u1038\u1021\u1011\u102d \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038 \u1006\u102f\u1036\u1038\u101b\u103e\u102f\u1036\u1038\u1001\u1032\u1037\u101e\u100a\u103a\u104b \u1024\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/li>\n<\/ul>\n<p> \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u101b\u101e\u100a\u1037\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u1012\u1031\u1010\u102c\u1005\u102e\u1038\u101b\u102e\u1038\u1010\u1005\u103a\u1001\u102f\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1015\u1011\u1019\u1006\u102f\u1036\u1038\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u1037\u103a\u1021\u101b\u102c\u1019\u103e\u102c \u104e\u1004\u103a\u1038\u104f\u1002\u100f\u1014\u103a\u1038\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u101c\u102d\u102f\u1021\u102c\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a-<\/p>\n<p class=\"has-text-align-center\"><meta charset=\"utf-8\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0a2fc458e6a80794b9b8fdc1120ddedb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}=\\cfrac{11+5+2+(-9)+7}{5}=3,2\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"257\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u1012\u1031\u1010\u102c\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101e\u102d\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u104a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a711d079f0c580d1e3cd8ad08084a6ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{X}\\right)^2}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"197\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1011\u102f\u1010\u103a\u1015\u103c\u1014\u103a\u1001\u103b\u1000\u103a\u1019\u103e \u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1021\u1016\u103c\u1005\u103a \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101e\u100a\u103a-<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e284702746a065d0ad3c1c36953e4c91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\displaystyle (11-3,2)^2+(5-3,2)^2+(2-3,2)^2+(-9-3,2)^2+(7-3,2)^2}{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"586\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u101b\u1014\u103a \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u1014\u1031\u101e\u1031\u1038\u101e\u100a\u103a-<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c2cbee60d77f19e88117e1bcf28d9cb2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}Var(X)&amp;=\\cfrac{7,8^2+1,8^2+(-1,2)^2+(-12,2)^2+3,8^2}{5}\\\\[2ex]&amp;=\\cfrac{60,84+3,24+1,44+148,84+14,44}{5}\\\\[2ex]&amp;= \\cfrac{228,8}{5} \\\\[2ex]&amp;=45,76 \\ \\text{millones de euros}^2\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"208\" width=\"406\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101a\u1030\u1014\u1005\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u104f\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u101a\u1030\u1014\u1005\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104a \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1024\u1012\u1031\u1010\u102c\u1021\u102f\u1015\u103a\u1005\u102f\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a \u101a\u1030\u101b\u102d\u102f 45.76 \u101e\u1014\u103a\u1038 <sup>2<\/sup> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-varianza\"><\/span> \u1000\u103d\u102c\u101f\u1001\u103b\u1000\u103a\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u104e\u1004\u103a\u1038\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a\u1011\u1032\u101e\u102d\u102f\u1037 \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1000\u102d\u102f \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1015\u102b\u104b \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1014\u1031\u101b\u102c\u101c\u103d\u1010\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1011\u102c\u1038\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1012\u103f\u1019\u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1021\u1016\u103c\u1005\u103a \u1000\u102c\u101c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u101b\u1015\u102b\u1019\u100a\u103a\u104b <\/p>\n<form action=\"\" method=\"post\"><textarea name=\"datos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"8 2 1 5.7 6 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\u1000\u103d\u102c\u101f\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianza-para-datos-agrupados\"><\/span>\u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1000\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u1021\u1016\u103c\u1005\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a<\/strong> \u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u101b\u1015\u102b\u1019\u100a\u103a-<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1012\u1031\u1010\u102c\u104f \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1015\u102b\u104b<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u104f \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u101a\u1001\u1004\u103a\u101b\u101c\u1012\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u104e\u1004\u103a\u1038\u104f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u104f\u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1015\u102b\u104b<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u101a\u1001\u1004\u103a\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a\u101b\u101b\u103e\u102d\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1000\u102d\u102f\u1011\u100a\u1037\u103a\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1015\u102b\u104b \u101b\u101c\u1012\u103a\u1014\u1036\u1015\u102b\u1010\u103a\u101e\u100a\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ol>\n<p> \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u1021\u1016\u103c\u1005\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3c8fd825b7e23d237d3bc105ff317afe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{X}\\right)^2\\cdot f_i }{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"224\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038\u104a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1000\u1039\u1001\u101b\u102c\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u104e\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-234f660701e2c8cde3bdf7ecaa140a11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\displaystyle\\sum_{i=1}^n x_i^2\\cdot f_i }{n}-\\overline{X}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"209\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u1025\u1015\u1019\u102c\u1021\u1014\u1031\u1016\u103c\u1004\u1037\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1005\u102e\u1038\u101b\u102e\u1038\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1010\u103d\u1031\u1037\u101b\u1015\u102b\u1019\u100a\u103a- <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/donnees-regroupees-dans-intervalles.png\" alt=\"\u1012\u1031\u1010\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1021\u1016\u103c\u1005\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" class=\"wp-image-1274\" width=\"259\" height=\"190\" srcset=\"\" sizes=\"\"><\/figure>\n<p> \u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a\u104b \u1012\u102b\u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1016\u102d\u102f\u1037\u104a \u1021\u1010\u1014\u103a\u1038\u1021\u1019\u103e\u1010\u103a\u1021\u101e\u102c\u1038\u101b\u1032\u1037 \u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u1014\u1032\u1037 \u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1014\u1032\u1037 \u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1007\u101a\u102c\u1038\u1011\u1032\u1019\u103e\u102c \u1000\u1031\u102c\u103a\u101c\u1036\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1015\u1031\u102b\u1004\u103a\u1038\u1011\u100a\u1037\u103a\u1015\u102b <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne-des-donnees-groupees.png\" alt=\"\u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1016\u103c\u1004\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" class=\"wp-image-1275\" width=\"345\" height=\"190\" srcset=\"\" sizes=\"\"><\/figure>\n<p> \u101a\u1001\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1000\u1031\u102c\u103a\u101c\u1036\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1000\u102d\u102f \u1012\u1031\u1010\u102c\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a-<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cbe29749d3f628250dead48396088c9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}=\\cfrac{\\displaystyle\\sum_{i=1}^n x_i\\cdot f_i}{n}=\\cfrac{750}{30}=25\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"209\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u1031\u102c\u103a\u101c\u1036\u101e\u102f\u1036\u1038\u1001\u102f\u1000\u102d\u102f \u1011\u100a\u1037\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/variance-pour-les-donnees-regroupees.png\" alt=\"\u1021\u102f\u1015\u103a\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1000\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\" class=\"wp-image-1276\" width=\"642\" height=\"190\" srcset=\"\" sizes=\"\"><\/figure>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1000\u1031\u102c\u103a\u101c\u1036\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a- <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-70d22837db07bbf1e13bb4acb2cfccba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{X}\\right)^2\\cdot f_i }{n}=\\cfrac{4200}{30}=140\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianza-y-desviacion-estandar\"><\/span> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1014\u103e\u1004\u1037\u103a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f)<\/strong> \u101e\u100a\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c \u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1014\u103e\u1005\u103a\u1001\u102f\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1000\u102d\u102f \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u1015\u102b\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101b\u102c\u1010\u103d\u1004\u103a\u104a <strong>\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a<\/strong> \u1019\u103e\u102c \u101a\u1031\u1018\u102f\u101a\u103b\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u104f \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101a\u1031\u1018\u102f\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038 \u1015\u102d\u102f\u1000\u103c\u102e\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p> \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1002\u101b\u102d\u1021\u1000\u1039\u1001\u101b\u102c sigma (\u03c3) \u1016\u103c\u1004\u1037\u103a \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u1015\u103c\u102e\u1038 \u101a\u1004\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u1000\u1039\u1001\u101b\u102c sigma \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038 (\u03c3 <sup>2<\/sup> ) \u1016\u103c\u1004\u1037\u103a \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1024\u1015\u103c\u1014\u1037\u103a\u1000\u103b\u1032\u1014\u1031\u101e\u1031\u102c \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0c71ab111d7c483a2ad04cb5e9618da4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u101e\u1004\u103a\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u103c\u102e\u1038\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101b\u103e\u1004\u103a\u1038\u101a\u1030\u101b\u102f\u1036\u1016\u103c\u1004\u1037\u103a \u1011\u102d\u102f\u1021\u1005\u102f\u104f \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1021\u101c\u103d\u101a\u103a\u1010\u1000\u1030 \u101b\u103e\u102c\u1016\u103d\u1031\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fab93067538628f5fa2d9bc829a7c470_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma=\\sqrt{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"68\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianza-poblacional-y-varianza-muestral\"><\/span> \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u101a\u102f\u1010\u1039\u1010\u102d\u1014\u100a\u103a\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a <strong>\u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a<\/strong> \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101c\u1030\u1026\u1038\u101b\u1031\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u1015\u103c\u102e\u1038 \u101a\u1004\u103a\u1038\u1021\u1005\u102c\u1038 <strong>\u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f<\/strong> \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1001\u103b\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1000 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1021\u1005\u1019\u103e \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u1037\u103a <strong>\u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1015\u102b\u1019\u100a\u103a\u104a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-aae456d460db4438c8ad43d11c36dedb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma^2=\\cfrac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{X}\\right)^2}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"153\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1015\u103c\u103f\u1014\u102c\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1014\u1019\u1030\u1014\u102c\u1021\u1016\u103c\u1005\u103a \u1006\u1000\u103a\u1006\u1036\u101b\u1014\u103a \u101e\u1004\u1037\u103a\u1021\u102c\u1038 \u1010\u1031\u102c\u1004\u103a\u1038\u1006\u102d\u102f\u1001\u1036\u101b\u1000\u1031\u102c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104a \u101a\u1004\u103a\u1038\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1010\u103d\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <strong>\u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a\u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-033364d2b74d014d944faade687d7b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2=\\cfrac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{X}\\right)^2}{n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"151\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101b\u1014\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1002\u101b\u102d\u1021\u1000\u1039\u1001\u101b\u102c \u03c3 \u1016\u103c\u1004\u1037\u103a \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u1010\u103d\u1004\u103a \u1005\u102c\u101c\u102f\u1036\u1038 s \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n<p> \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u101b\u101e\u100a\u1037\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1001\u103b\u1000\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1021\u1014\u103e\u102f\u1010\u103a 1 \u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a\u104a \u1025\u1015\u1019\u102c\u104a \u1012\u1031\u1010\u102c\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 30 \u101b\u103e\u102d\u101c\u103b\u103e\u1004\u103a 29 \u1016\u103c\u1004\u1037\u103a \u1001\u103d\u1032\u1019\u100a\u103a\u104a \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u101d\u1031\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u1010\u102d\u1021\u1000\u103b\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1014\u100a\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-varianza\"><\/span> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u101e\u1010\u1039\u1010\u102d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/p>\n<ul>\n<li> \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a \u101e\u102f\u100a\u1011\u1000\u103a \u1000\u103c\u102e\u1038\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u100a\u102e\u1019\u103b\u103e\u1014\u1031\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u101c\u102c\u1038\u1010\u1030\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u101e\u102f\u100a\u1016\u103c\u1005\u103a\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-56edbbba242899a77fbdaf17859e5d89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(x)\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"89\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a \u101e\u102f\u100a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1019\u103e\u102c \u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-60234622e7a82de8d87a8e5e5af3a686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(a)=0\\qquad a\\in \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"167\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u1005\u1000\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u104f \u101b\u101c\u1012\u103a\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a \u1011\u102d\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f\u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cfa5d6d67c4af8203682ecbd0b76d525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(aX)=a^2\\cdot Var(X)\\qquad a\\in \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"266\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1019\u103e\u102e\u1001\u102d\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1015\u103c\u102e\u1038 \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u103e\u1005\u103a\u1006\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u102c\u1038\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ad23ae4c3b77e0d08f974f1c6f858ec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X+Y)=Var(X)+Var(Y)+2Cov(X,Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"378\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u1015\u102b\u1000\u104a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u100a\u1037\u103a\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u100a\u103a-<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e1aa58a3af75d4e27a430273183e26b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X+Y)=Var(X)+Var(Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1016\u103c\u1004\u1037\u103a\u101c\u100a\u103a\u1038 \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3adf3028629c39719280e2611df6daf5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=E\\bigl[(X-\\overline{X})^2\\bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"186\" style=\"vertical-align: -7px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a 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