{"id":77,"date":"2023-08-05T17:33:30","date_gmt":"2023-08-05T17:33:30","guid":{"rendered":"https:\/\/statorials.org\/hi\/%e0%a4%ae%e0%a4%be%e0%a4%a8%e0%a4%95-%e0%a4%b5%e0%a4%bf%e0%a4%9a%e0%a4%b2%e0%a4%a8-%e0%a4%af%e0%a4%be-%e0%a4%ae%e0%a4%be%e0%a4%a8%e0%a4%95-%e0%a4%b5%e0%a4%bf%e0%a4%9a%e0%a4%b2%e0%a4%a8\/"},"modified":"2023-08-05T17:33:30","modified_gmt":"2023-08-05T17:33:30","slug":"%e0%a4%ae%e0%a4%be%e0%a4%a8%e0%a4%95-%e0%a4%b5%e0%a4%bf%e0%a4%9a%e0%a4%b2%e0%a4%a8-%e0%a4%af%e0%a4%be-%e0%a4%ae%e0%a4%be%e0%a4%a8%e0%a4%95-%e0%a4%b5%e0%a4%bf%e0%a4%9a%e0%a4%b2%e0%a4%a8","status":"publish","type":"post","link":"https:\/\/statorials.org\/hi\/%e0%a4%ae%e0%a4%be%e0%a4%a8%e0%a4%95-%e0%a4%b5%e0%a4%bf%e0%a4%9a%e0%a4%b2%e0%a4%a8-%e0%a4%af%e0%a4%be-%e0%a4%ae%e0%a4%be%e0%a4%a8%e0%a4%95-%e0%a4%b5%e0%a4%bf%e0%a4%9a%e0%a4%b2%e0%a4%a8\/","title":{"rendered":"\u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928)"},"content":{"rendered":"<p>\u092f\u0939 \u0906\u0932\u0947\u0916 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928, \u091c\u093f\u0938\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u092d\u0940 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0915\u094d\u092f\u093e \u0939\u0948\u0964 \u0906\u092a \u0938\u0940\u0916\u0947\u0902\u0917\u0947 \u0915\u093f \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902, \u091a\u0930\u0923-\u0926\u0930-\u091a\u0930\u0923 \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0914\u0930 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0921\u0947\u091f\u093e \u0928\u092e\u0942\u0928\u0947 \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u094b \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0911\u0928\u0932\u093e\u0907\u0928 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-desviacion-estandar-o-desviacion-tipica\"><\/span> \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0915\u094d\u092f\u093e \u0939\u0948?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928<\/strong> , \u091c\u093f\u0938\u0947 <strong>\u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928<\/strong> \u092d\u0940 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u092b\u0948\u0932\u093e\u0935 \u0915\u093e \u090f\u0915 \u092e\u093e\u092a \u0939\u0948\u0964 \u0926\u0942\u0938\u0930\u0947 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902, \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u090f\u0915 \u092e\u093e\u0928 \u0939\u0948 \u091c\u094b \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0921\u0947\u091f\u093e \u0915\u0947 \u090f\u0915 \u0938\u0947\u091f \u0915\u0947 \u092b\u0948\u0932\u093e\u0935 \u0915\u094b \u0907\u0902\u0917\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<p> \u0907\u0938\u0932\u093f\u090f, <strong>\u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u0938\u0940 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u092f\u093e \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0928\u092e\u0942\u0928\u0947 \u0915\u0947 \u092b\u0948\u0932\u093e\u0935 \u0915\u094b \u092e\u093e\u092a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/strong> \u0921\u0947\u091f\u093e \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0915\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u091c\u093f\u0924\u0928\u093e \u092c\u0921\u093c\u093e \u0939\u094b\u0917\u093e, \u0921\u0947\u091f\u093e \u0909\u0924\u0928\u093e \u0939\u0940 \u0905\u0927\u093f\u0915 \u092c\u093f\u0916\u0930\u093e \u0939\u0941\u0906 \u0939\u094b\u0917\u093e\u0964 \u0914\u0930 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0926\u0942\u0938\u0930\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u092d\u0940 \u0915\u0940 \u091c\u093e \u0938\u0915\u0924\u0940 \u0939\u0948, \u092f\u0926\u093f \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u092e \u0939\u0948 \u0924\u094b \u0907\u0938\u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 \u0915\u093f \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0924\u094c\u0930 \u092a\u0930 \u0921\u0947\u091f\u093e \u0905\u092a\u0928\u0947 \u092e\u093e\u0927\u094d\u092f \u0915\u0947 \u092c\u0939\u0941\u0924 \u0915\u0930\u0940\u092c \u0939\u0948\u0964<\/p>\n<p> \u0915\u093f\u0938\u0940 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0930 \u092e\u093e\u0928\u0915 \u092f\u093e \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0924\u0947 \u0938\u092e\u092f, <strong>\u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u093e \u092a\u094d\u0930\u0924\u0940\u0915<\/strong> \u0917\u094d\u0930\u0940\u0915 \u0905\u0915\u094d\u0937\u0930 \u0938\u093f\u0917\u094d\u092e\u093e (\u03c3) \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u091c\u092c \u0928\u092e\u0942\u0928\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u092c\u093e\u0924 \u0906\u0924\u0940 \u0939\u0948, \u0924\u094b \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u092e\u093e\u092a \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0905\u0915\u094d\u0937\u0930 s \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<p> \u0915\u0941\u091b \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u0914\u0930 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u092a\u0941\u0938\u094d\u0924\u0915\u094b\u0902 \u092e\u0947\u0902, \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u094b \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u092d\u0940 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-desviacion-estandar-o-desviacion-tipica\"><\/span> \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0938\u0942\u0924\u094d\u0930<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0921\u0947\u091f\u093e \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0915\u0947 \u0935\u093f\u091a\u0932\u0928 \u0915\u0947 \u0935\u0930\u094d\u0917\u094b\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u0947 \u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0915\u094b \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0964<\/p>\n<p> \u0907\u0938\u0932\u093f\u090f <strong>\u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u093e \u0938\u0942\u0924\u094d\u0930<\/strong> \u0939\u0948: <\/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\/ecart-type-ecart-type.png\" alt=\"\u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928, \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928\" class=\"wp-image-1652\" width=\"334\" height=\"334\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">\u0906\u092a \u0915\u093f\u0938\u0940 \u092d\u0940 \u0921\u0947\u091f\u093e \u0938\u0947\u091f \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u0940\u091a\u0947 \u0926\u093f\u090f \u0917\u090f \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/u><\/p>\n<p> \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u092e\u0947\u0902, \u0921\u0947\u091f\u093e \u0938\u0947\u091f \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u094b \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0906\u092a\u0915\u094b \u0938\u092d\u0940 \u0935\u093f\u091a\u0932\u0928\u094b\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u0948 (\u0921\u0947\u091f\u093e \u092c\u093f\u0902\u0926\u0941 \u0914\u0930 \u0905\u0902\u0915\u0917\u0923\u093f\u0924\u0940\u092f \u092e\u093e\u0927\u094d\u092f \u0915\u0947 \u092c\u0940\u091a \u0905\u0902\u0924\u0930 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924), \u0935\u093f\u091a\u0932\u0928 \u0915\u094b \u0926\u094b \u0924\u0915 \u092c\u0922\u093c\u093e\u090f\u0902, \u0909\u0928 \u0938\u092d\u0940 \u0915\u094b \u091c\u094b\u0921\u093c\u0947\u0902, \u092b\u093f\u0930 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0947\u0902 \u0915\u0941\u0932\u0964 \u0921\u0947\u091f\u093e \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, \u0914\u0930 \u0905\u0902\u0924 \u092e\u0947\u0902 \u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0932\u0947\u0902\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-desviacion-estandar-o-desviacion-tipica\"><\/span> \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0915\u093e \u0909\u0926\u093e\u0939\u0930\u0923<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0935\u093f\u091a\u0932\u0928) \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, \u0928\u0940\u091a\u0947 \u091a\u0930\u0923-\u0926\u0930-\u091a\u0930\u0923 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0924\u093e\u0915\u093f \u0906\u092a \u0926\u0947\u0916 \u0938\u0915\u0947\u0902 \u0915\u093f \u0921\u0947\u091f\u093e \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0948\u0938\u0947 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964<\/p>\n<ul>\n<li> \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u093e\u0928\u094b\u0902 \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902: 3, 6, 2, 9, 4\u0964<\/li>\n<\/ul>\n<p> \u092a\u0939\u0932\u0940 \u091a\u0940\u091c\u093c \u091c\u094b \u0939\u092e\u0947\u0902 \u0915\u0930\u0928\u0947 \u0915\u0940 \u091c\u093c\u0930\u0942\u0930\u0924 \u0939\u0948 \u0935\u0939 \u0928\u092e\u0942\u0928\u093e \u092e\u093e\u0927\u094d\u092f \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u093e \u0939\u0948\u0964 \u0910\u0938\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0939\u092e \u0938\u092d\u0940 \u0921\u0947\u091f\u093e \u0915\u094b \u091c\u094b\u0921\u093c\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u091c\u094b \u092a\u093e\u0902\u091a \u0939\u0948:<\/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-29d93bdafc53afa6ed1e684cdf0ed8cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=\\cfrac{3+6+2+9+4}{5}=4,8\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"216\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0905\u092c \u0939\u092e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0938\u0942\u0924\u094d\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902:<\/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-94d7422dac6b694a42e1dcd6485e681e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^N(x_i-\\overline{x})^2}{N}}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"152\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \u0939\u092e \u0921\u0947\u091f\u093e \u0915\u094b \u0938\u0942\u0924\u094d\u0930 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902:<\/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-049d3262c2c56e3c39cae6c520dd2e67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma =\\sqrt{\\frac{(3-4,8)^2+(6-4,8)^2+(2-4,8)^2+(9-4,8)^2+(4-4,8)^2}{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"531\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> \u0914\u0930 \u0905\u0902\u0924 \u092e\u0947\u0902 \u0939\u092e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902: <\/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-d52b5396ff383310226cf152a9bf87ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle\\sigma &amp; = \\sqrt{\\frac{(-1,8)^2+1,2^2+(-2,8)^2+4,2^2+(-0,8)^2}{5}}\\\\[2ex]&amp;=\\sqrt{\\frac{3,24+1,44+7,84+17,64+0,64}{5}}\\\\[2ex]&amp;= \\sqrt{\\frac{30,8}{5}}=\\sqrt{6,16}=2,48 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"392\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-desviacion-estandar-o-desviacion-tipica\"><\/span> \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0907\u0938\u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0911\u0928\u0932\u093e\u0907\u0928 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u092e\u0947\u0902 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0921\u0947\u091f\u093e \u0915\u093e \u090f\u0915 \u0938\u0947\u091f \u0926\u0930\u094d\u091c \u0915\u0930\u0947\u0902\u0964 \u0921\u0947\u091f\u093e \u0915\u094b \u090f\u0915 \u0938\u094d\u0925\u093e\u0928 \u0938\u0947 \u0905\u0932\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u091a\u093e\u0939\u093f\u090f \u0914\u0930 \u0926\u0936\u092e\u0932\u0935 \u0935\u093f\u092d\u093e\u091c\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0905\u0935\u0927\u093f \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0926\u0930\u094d\u091c \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964 <\/p>\n<form action=\"\" method=\"post\"><textarea name=\"datos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"3 6 2 9 0.7 4 ...\" 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=\"\u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-estandar-o-tipica-para-datos-agrupados\"><\/span> \u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0921\u0947\u091f\u093e \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0928\u0915 (\u092f\u093e \u0935\u093f\u0936\u093f\u0937\u094d\u091f) \u0935\u093f\u091a\u0932\u0928<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0905\u0902\u0924\u0930\u093e\u0932\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0921\u0947\u091f\u093e \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f<\/strong> , \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u091a\u0930\u0923\u094b\u0902 \u0915\u093e \u092a\u093e\u0932\u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u091a\u093e\u0939\u093f\u090f:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0921\u0947\u091f\u093e \u0915\u0947 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902\u0964<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0917\u0948\u092a \u0915\u094b \u091a\u094c\u0915\u094b\u0930 \u0915\u0930\u0947\u0902\u0964<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u093f\u091b\u0932\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u0909\u0938\u0915\u0947 \u0905\u0902\u0924\u0930\u093e\u0932 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0947\u0902\u0964<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u092a\u093f\u091b\u0932\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0938\u092d\u0940 \u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u091c\u094b\u0921\u093c\u0947\u0902\u0964<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0947\u0902.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\u092a\u093f\u091b\u0932\u0947 \u092e\u093e\u0928 \u0915\u093e \u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0932\u0947\u0902. \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0921\u0947\u091f\u093e \u0915\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0939\u0948\u0964<\/span><\/li>\n<\/ol>\n<p> \u0905\u0902\u0924 \u092e\u0947\u0902, \u0905\u0902\u0924\u0930\u093e\u0932\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0921\u0947\u091f\u093e \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0939\u0948:<\/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-6a435319a8eafa0c374dc44e85709b4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^N\\left(x_i-\\overline{x}\\right)^2\\cdot f_i }{N}}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"182\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \u092f\u0926\u094d\u092f\u092a\u093f \u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0938\u0942\u0924\u094d\u0930 \u0915\u093e \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u0903 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u093e \u092d\u0940 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0938\u092e\u093e\u0928 \u092a\u0930\u093f\u0923\u093e\u092e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948:<\/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-b2a1493ab90f08b0bc32dfa9a4108590_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^n x_i^2\\cdot f_i }{N}-\\overline{x}^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"170\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u0924\u094b \u0906\u092a \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u092f\u0939 \u0915\u0948\u0938\u0947 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0928\u0940\u091a\u0947 \u0905\u0902\u0924\u0930\u093e\u0932\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0921\u0947\u091f\u093e \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u092a\u0930 \u091a\u0930\u0923-\u0926\u0930-\u091a\u0930\u0923 \u0905\u092d\u094d\u092f\u093e\u0938 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0905\u0927\u093f\u0915 \u0938\u091f\u0940\u0915 \u0930\u0942\u092a \u0938\u0947, \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0921\u0947\u091f\u093e \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940 \u091c\u093e\u090f\u0917\u0940: <\/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\/exemple-de-donnees-regroupees-en-intervalles.png\" alt=\"\u0905\u0902\u0924\u0930\u093e\u0932\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0921\u0947\u091f\u093e \u0915\u093e \u0909\u0926\u093e\u0939\u0930\u0923\" class=\"wp-image-1679\" width=\"244\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0938\u092c\u0938\u0947 \u092a\u0939\u0932\u0947, \u0939\u092e \u0905\u0902\u0915\u0917\u0923\u093f\u0924\u0940\u092f \u092e\u093e\u0927\u094d\u092f \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0902\u0924\u0930\u093e\u0932 \u0915\u0947 \u0935\u0930\u094d\u0917 \u0938\u094d\u0915\u094b\u0930 \u0915\u094b \u0909\u0938\u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902: <\/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\/calcul-de-table-de-donnees.png\" alt=\"\" class=\"wp-image-1682\" width=\"326\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0924\u094b \u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0921\u0947\u091f\u093e \u0915\u093e \u0914\u0938\u0924 \u0939\u094b\u0917\u093e:<\/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-ce59b9a32c04cd7349126ce0539db196_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{46200}{100}=462\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"229\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0905\u092c \u091c\u092c \u0939\u092e \u0914\u0938\u0924 \u0915\u093e \u092e\u093e\u0928 \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u092e\u0947\u0902 \u0921\u0947\u091f\u093e \u0924\u093e\u0932\u093f\u0915\u093e \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0924\u0940\u0928 \u0915\u0949\u0932\u092e \u091c\u094b\u0921\u093c\u0928\u0947 \u0939\u094b\u0902\u0917\u0947: <\/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\/exercice-resolu-ecart-type-donnees-groupees.png\" alt=\"\u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0921\u0947\u091f\u093e \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u093e \u0939\u0932 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0905\u092d\u094d\u092f\u093e\u0938\" class=\"wp-image-1683\" width=\"606\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u092b\u093f\u0930 \u0938\u092e\u0942\u0939\u0940\u0915\u0943\u0924 \u0921\u0947\u091f\u093e \u0915\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0905\u0902\u0924\u093f\u092e \u0915\u0949\u0932\u092e \u0915\u0947 \u0915\u0941\u0932 \u0915\u0947 \u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0915\u094b \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u093e \u092a\u0930\u093f\u0923\u093e\u092e \u0939\u094b\u0917\u093e: <\/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-71f6868fe660a5b263f7dba58b823e4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^N\\left(x_i-\\overline{x}\\right)^2\\cdot f_i }{N}}=\\sqrt{\\frac{1445600}{100}}=120,23\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"365\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-estandar-o-tipica-y-varianza\"><\/span> \u092e\u093e\u0928\u0915 (\u092f\u093e \u0935\u093f\u0936\u093f\u0937\u094d\u091f) \u0935\u093f\u091a\u0932\u0928 \u0914\u0930 \u0935\u093f\u091a\u0930\u0923<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0935\u093f\u091a\u0932\u0928) \u0914\u0930 \u0935\u093f\u091a\u0930\u0923 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927<\/strong> \u092f\u0939 \u0939\u0948 \u0915\u093f \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0935\u093f\u091a\u0930\u0923 \u0915\u093e \u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0939\u0948\u0964<\/p>\n<p> \u0907\u0938\u0932\u093f\u090f, \u092f\u0926\u093f \u0939\u092e \u0915\u093f\u0938\u0940 \u0921\u0947\u091f\u093e \u0938\u0947\u091f \u0915\u093e \u0935\u093f\u091a\u0930\u0923 \u092e\u093e\u0928 \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u092e \u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0932\u0947\u0915\u0930 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u093e \u0907\u0938\u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924, \u092f\u0926\u093f \u0939\u092e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u092e \u092e\u093e\u0928 \u0915\u093e \u0935\u0930\u094d\u0917 \u0915\u0930\u0915\u0947 \u0935\u093f\u091a\u0930\u0923 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/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> \u0935\u093e\u0938\u094d\u0924\u0935 \u092e\u0947\u0902, \u0935\u093f\u091a\u0930\u0923 \u0915\u094b \u0915\u0947\u0935\u0932 \u0935\u0930\u094d\u0917 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u092a\u094d\u0930\u0924\u0940\u0915 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f, \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093f\u091a\u0930\u0923 \u0915\u093e \u092a\u094d\u0930\u0924\u0940\u0915 \u0938\u093f\u0917\u094d\u092e\u093e \u0935\u0930\u094d\u0917 (\u03c3 <sup>2<\/sup> ) \u0939\u0948 \u0914\u0930 \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u091a\u0930\u0923 \u0915\u093e \u092a\u094d\u0930\u0924\u0940\u0915 s \u0935\u0930\u094d\u0917 (s <sup>2<\/sup> ) \u0939\u0948\u0964<\/p>\n<p> \u0907\u0938\u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924, \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0914\u0930 \u0935\u093f\u091a\u0930\u0923 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u0940 \u090f\u0915 \u0938\u092e\u093e\u0928 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0926\u094b\u0928\u094b\u0902 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0921\u0947\u091f\u093e \u0915\u0940 \u090f\u0915 \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0915\u0947 \u092b\u0948\u0932\u093e\u0935 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-desviacion-estandar-o-desviacion-tipica\"><\/span> \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0915\u0947 \u0917\u0941\u0923<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0917\u0941\u0923 \u0939\u0948\u0902:<\/p>\n<ul>\n<li> \u0921\u0947\u091f\u093e \u0928\u092e\u0942\u0928\u0947 \u0915\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0928\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e\u0964<\/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-6dc2fa2a98bf03919de68092ecd42e0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma \\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"43\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul>\n<li> \u092f\u0926\u093f \u0938\u092d\u0940 \u0921\u0947\u091f\u093e \u0938\u092e\u093e\u0928 \u0939\u0948\u0902 \u0924\u094b \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0936\u0942\u0928\u094d\u092f \u0939\u094b\u0917\u093e\u0964<\/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-5771378afa7d193b85b4075fea1ddbca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma =0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \u092f\u0926\u093f \u0938\u092d\u0940 \u0921\u0947\u091f\u093e \u092e\u0947\u0902 \u090f\u0915 \u0938\u094d\u0925\u093f\u0930 \u092a\u0926 \u091c\u094b\u0921\u093c\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u092e\u093e\u0928 \u0928\u0939\u0940\u0902 \u092c\u0926\u0932\u0924\u093e \u0939\u0948\u0964<\/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-12ed23ebb645e96aa0b8262997874bf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma (X+k)=\\sigma (X)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u092f\u0926\u093f \u0938\u092d\u0940 \u0921\u0947\u091f\u093e \u0915\u094b \u0915\u093f\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0909\u0915\u094d\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0928\u093f\u0930\u092a\u0947\u0915\u094d\u0937 \u092e\u093e\u0928 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u093f\u092f\u093e \u091c\u093e\u090f\u0917\u093e\u0964<\/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-2464c848bfc171c1800da25602ac68bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma (k\\cdot X)=|k|\\cdot \\sigma (X)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0926\u094b \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930\u094b\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928, \u091a\u0930\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0938\u0930\u0923\u094b\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u0947 \u0935\u0930\u094d\u0917\u092e\u0942\u0932 \u0914\u0930 \u0926\u094b\u0928\u094b\u0902 \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0947 \u0926\u094b\u0917\u0941\u0928\u0947 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/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-7a5efdb8faca6ce59563063a6a8d9bc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" \\sigma(X+Y)=\\sqrt{Var(X)+Var(Y)+2\\cdot Cov(X,Y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"388\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<ul>\n<li> \u092f\u0926\u093f \u0939\u092e \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0935\u093f\u0924\u0930\u0923\u094b\u0902 \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u03c3 <sub>i<\/sub> ) \u0914\u0930 \u0909\u0928\u0915\u0947 \u0921\u0947\u091f\u093e \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e (n <sub>i<\/sub> ) \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u092e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0942\u0924\u094d\u0930 \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0915\u0947 \u0915\u0941\u0932 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/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-7d2dca2d1ca2836361422677310d960a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle \\sum_{i=1}^N n_i\\cdot \\sigma_i^2}{\\displaystyle \\sum_{i=1}^N n_i}}=\\sqrt{\\frac{\\displaystyle n_1\\cdot \\sigma_1^2+n_2\\cdot \\sigma_2^2+\\dots +n_N\\cdot \\sigma_N^2}{\\displaystyle n_1+n_2+\\dots+n_N}}\" title=\"Rendered by QuickLaTeX.com\" height=\"128\" width=\"423\" style=\"vertical-align: -58px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u092f\u0939 \u0906\u0932\u0947\u0916 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928, \u091c\u093f\u0938\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u092d\u0940 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0915\u094d\u092f\u093e \u0939\u0948\u0964 \u0906\u092a \u0938\u0940\u0916\u0947\u0902\u0917\u0947 \u0915\u093f \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902, \u091a\u0930\u0923-\u0926\u0930-\u091a\u0930\u0923 \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0914\u0930 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0921\u0947\u091f\u093e \u0928\u092e\u0942\u0928\u0947 \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u094b \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0911\u0928\u0932\u093e\u0907\u0928 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930\u0964 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0915\u094d\u092f\u093e \u0939\u0948? \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 , \u091c\u093f\u0938\u0947 \u092e\u093e\u0928\u0915 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