{"id":602,"date":"2023-07-29T09:05:15","date_gmt":"2023-07-29T09:05:15","guid":{"rendered":"https:\/\/statorials.org\/tr\/sinifin-ortasi\/"},"modified":"2023-07-29T09:05:15","modified_gmt":"2023-07-29T09:05:15","slug":"sinifin-ortasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/sinifin-ortasi\/","title":{"rendered":"Frekans da\u011f\u0131l\u0131m\u0131nda s\u0131n\u0131f orta noktalar\u0131 nas\u0131l bulunur?"},"content":{"rendered":"

<\/p>\n

\n

Frekans da\u011f\u0131l\u0131m tablosu, farkl\u0131 veri s\u0131n\u0131flar\u0131n\u0131n frekanslar\u0131n\u0131 g\u00f6steren bir tablodur.<\/span><\/p>\n

\u00d6rne\u011fin, a\u015fa\u011f\u0131daki frekans da\u011f\u0131l\u0131m tablosu be\u015f farkl\u0131 s\u0131n\u0131fa ait frekans\u0131 g\u00f6stermektedir:<\/span><\/p>\n\n\n\n\n\n\n\n\n
S\u0131n\u0131f<\/strong><\/span><\/th>\n S\u0131kl\u0131k<\/strong><\/span><\/th>\n<\/tr>\n
1 \u2013 10<\/span><\/td>\n 20<\/span><\/td>\n<\/tr>\n
11 \u2013 20<\/span><\/td>\n 21<\/span><\/td>\n<\/tr>\n
21 \u2013 30<\/span><\/td>\n 16<\/span><\/td>\n<\/tr>\n
31 \u2013 40<\/span><\/td>\n 5<\/span><\/td>\n<\/tr>\n
41 \u2013 50<\/span><\/td>\n 4<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Her s\u0131n\u0131f\u0131n orta noktas\u0131n\u0131, s\u0131n\u0131f\u0131n alt limitini ve \u00fcst limitini toplay\u0131p ikiye b\u00f6lerek bulabilirsiniz:<\/span><\/p>\n

S\u0131n\u0131f orta noktas\u0131<\/strong> = (alt s\u0131n\u0131f s\u0131n\u0131r\u0131 + \u00fcst s\u0131n\u0131f s\u0131n\u0131r\u0131) \/ 2<\/span><\/p>\n

A\u015fa\u011f\u0131daki tabloda her s\u0131n\u0131f\u0131n orta noktas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 g\u00f6sterilmektedir:<\/span><\/p>\n\n\n\n\n\n\n\n\n
S\u0131n\u0131f<\/strong><\/span><\/th>\n S\u0131kl\u0131k<\/strong><\/span><\/th>\n Orta nokta<\/strong><\/span><\/th>\n<\/tr>\n
1 \u2013 10<\/span><\/td>\n 20<\/span><\/td>\n (1+10) \/ 2<\/span><\/td>\n<\/tr>\n
11 \u2013 20<\/span><\/td>\n 21<\/span><\/td>\n (11+20) \/ 2<\/span><\/td>\n<\/tr>\n
21 \u2013 30<\/span><\/td>\n 16<\/span><\/td>\n (21+30) \/ 2<\/span><\/td>\n<\/tr>\n
31 \u2013 40<\/span><\/td>\n 5<\/span><\/td>\n (31+40) \/ 2<\/span><\/td>\n<\/tr>\n
41 \u2013 50<\/span><\/td>\n 4<\/span><\/td>\n (41+50) \/ 2<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Bu nedenle elimizde a\u015fa\u011f\u0131daki orta noktalar kal\u0131yor:<\/span><\/p>\n\n\n\n\n\n\n\n\n
S\u0131n\u0131f<\/strong><\/span><\/th>\n S\u0131kl\u0131k<\/strong><\/span><\/th>\n Orta nokta<\/strong><\/span><\/th>\n<\/tr>\n
1 \u2013 10<\/span><\/td>\n 20<\/span><\/td>\n 5.5<\/span><\/td>\n<\/tr>\n
11 \u2013 20<\/span><\/td>\n 21<\/span><\/td>\n 15.5<\/span><\/td>\n<\/tr>\n
21 \u2013 30<\/span><\/td>\n 16<\/span><\/td>\n 25.5<\/span><\/td>\n<\/tr>\n
31 \u2013 40<\/span><\/td>\n 5<\/span><\/td>\n 35.5<\/span><\/td>\n<\/tr>\n
41 \u2013 50<\/span><\/td>\n 4<\/span><\/td>\n 45.5<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

S\u0131n\u0131f orta noktalar\u0131 ne zaman kullan\u0131l\u0131r?<\/strong><\/span><\/h2>\n

S\u0131n\u0131f orta noktalar\u0131, frekans tablosundaki de\u011ferleri g\u00f6rselle\u015ftirmek i\u00e7in histogram olu\u015fturmak istedi\u011finizde s\u0131kl\u0131kla kullan\u0131l\u0131r.<\/span><\/p>\n

Histogram, bir grafi\u011fin x ekseni boyunca s\u0131n\u0131flar\u0131 listeler ve y ekseni boyunca her s\u0131n\u0131f\u0131n s\u0131kl\u0131\u011f\u0131n\u0131 temsil etmek i\u00e7in \u00e7ubuklar kullan\u0131r. Her \u00e7ubuk kendi s\u0131n\u0131f\u0131n\u0131n ortas\u0131nda<\/strong> yer al\u0131r.<\/span><\/p>\n

A\u015fa\u011f\u0131daki histogram, \u00f6nceki frekans tablosundaki verilerin g\u00f6rsel bir temsilini sa\u011flar:<\/span> <\/p>\n

\"Histogram\u0131n<\/p>\n

Her \u00e7ubu\u011fun kendi s\u0131n\u0131f\u0131n\u0131n ortas\u0131nda nas\u0131l ortaland\u0131\u011f\u0131na dikkat edin:<\/span> <\/p>\n

\"Bir<\/p>\n

Elle bir histogram olu\u015ftururken, \u00e7ubuklar\u0131n nereye yerle\u015ftirilece\u011fini bilmeniz i\u00e7in s\u0131n\u0131flar\u0131n orta noktalar\u0131n\u0131 bilmek \u00f6zellikle yararl\u0131d\u0131r.<\/span><\/p>\n

Bununla birlikte, \u00e7o\u011fu istatistiksel yaz\u0131l\u0131m, bir histogram\u0131n \u00e7ubuklar\u0131n\u0131 s\u0131n\u0131f orta noktalar\u0131 etraf\u0131nda otomatik olarak ortalayabilme yetene\u011fine sahiptir; dolay\u0131s\u0131yla, genellikle bu orta noktalar\u0131 kendiniz manuel olarak bulman\u0131z gerekmez.<\/span><\/p>\n

Ek kaynaklar<\/strong><\/span><\/h3>\n

S\u0131n\u0131f s\u0131n\u0131rlar\u0131 nas\u0131l bulunur?<\/a>
S\u0131n\u0131f s\u0131n\u0131rlar\u0131 nas\u0131l bulunur?
Ders aral\u0131klar\u0131 nas\u0131l bulunur?<\/a>
S\u0131n\u0131f Geni\u015fli\u011fi Hesaplay\u0131c\u0131<\/a>
Histogram olu\u015fturucu<\/p>\n","protected":false},"excerpt":{"rendered":"

Frekans da\u011f\u0131l\u0131m tablosu, farkl\u0131 veri s\u0131n\u0131flar\u0131n\u0131n frekanslar\u0131n\u0131 g\u00f6steren bir tablodur. \u00d6rne\u011fin, a\u015fa\u011f\u0131daki frekans da\u011f\u0131l\u0131m tablosu be\u015f farkl\u0131 s\u0131n\u0131fa ait frekans\u0131 g\u00f6stermektedir: S\u0131n\u0131f S\u0131kl\u0131k 1 \u2013 10 20 11 \u2013 20 21 21 \u2013 30 16 31 \u2013 40 5 41 \u2013 50 4 Her s\u0131n\u0131f\u0131n orta noktas\u0131n\u0131, s\u0131n\u0131f\u0131n alt limitini ve \u00fcst limitini toplay\u0131p ikiye […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-602","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nFrekans da\u011f\u0131l\u0131m\u0131nda s\u0131n\u0131f orta noktalar\u0131 nas\u0131l bulunur?<\/title>\n<meta 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