{"id":223,"date":"2023-08-04T00:20:17","date_gmt":"2023-08-04T00:20:17","guid":{"rendered":"https:\/\/statorials.org\/tr\/normal-dagilim-tablosu\/"},"modified":"2023-08-04T00:20:17","modified_gmt":"2023-08-04T00:20:17","slug":"normal-dagilim-tablosu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/normal-dagilim-tablosu\/","title":{"rendered":"Normal da\u011f\u0131l\u0131m tablosu"},"content":{"rendered":"

Bu makalede normal da\u011f\u0131l\u0131m tablosunu ve ayr\u0131ca normal da\u011f\u0131l\u0131m tablosunun nas\u0131l kullan\u0131laca\u011f\u0131na ili\u015fkin baz\u0131 talimatlar bulacaks\u0131n\u0131z. <\/p>\n

<\/span> Normal da\u011f\u0131l\u0131m tablosu de\u011ferleri<\/span><\/h2>\n

A\u015fa\u011f\u0131daki tablo normal da\u011f\u0131l\u0131m\u0131n (sol kuyruk) k\u00fcm\u00fclatif olas\u0131l\u0131k de\u011ferlerini g\u00f6stermektedir. Bu tablodaki de\u011ferlerin standart normal da\u011f\u0131l\u0131ma kar\u015f\u0131l\u0131k geldi\u011fini unutmay\u0131n; dolay\u0131s\u0131yla tabloyu kullanmak i\u00e7in \u00f6nce de\u011fi\u015fkeni girmeniz<\/a> gerekir. <\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
z<\/th>\n 0,00<\/th>\n 0,01<\/th>\n 0,02<\/th>\n 0,03<\/th>\n 0,04<\/th>\n 0,05<\/th>\n 0,06<\/th>\n 0,07<\/th>\n 0,08<\/th>\n 0,09<\/th>\n<\/tr>\n
0,0<\/th>\n 0,5000<\/td>\n 0,5040<\/td>\n 0,5080<\/td>\n 0,5120<\/td>\n 0,5160<\/td>\n 0,5199<\/td>\n 0,5239<\/td>\n 0,5279<\/td>\n 0,5319<\/td>\n 0,5359<\/td>\n<\/tr>\n
0,1<\/th>\n 0,5398<\/td>\n 0,5438<\/td>\n 0,5478<\/td>\n 0,5517<\/td>\n 0,5557<\/td>\n 0,5596<\/td>\n 0,5636<\/td>\n 0,5675<\/td>\n 0,5714<\/td>\n 0,5753<\/td>\n<\/tr>\n
0,2<\/th>\n 0,5793<\/td>\n 0,5832<\/td>\n 0,5871<\/td>\n 0,5910<\/td>\n 0,5948<\/td>\n 0,5987<\/td>\n 0,6026<\/td>\n 0,6064<\/td>\n 0.6103<\/td>\n 0,6141<\/td>\n<\/tr>\n
0,3<\/th>\n 0,6179<\/td>\n 0,6217<\/td>\n 0.6255<\/td>\n 0.6293<\/td>\n 0,6331<\/td>\n 0,6368<\/td>\n 0.6406<\/td>\n 0.6443<\/td>\n 0.6480<\/td>\n 0,6517<\/td>\n<\/tr>\n
0,4<\/th>\n 0,6554<\/td>\n 0,6591<\/td>\n 0,6628<\/td>\n 0,6664<\/td>\n 0.6700<\/td>\n 0,6736<\/td>\n 0,6772<\/td>\n 0,6808<\/td>\n 0,6844<\/td>\n 0,6879<\/td>\n<\/tr>\n
0,5<\/th>\n 0,6915<\/td>\n 0.6950<\/td>\n 0,6985<\/td>\n 0,7019<\/td>\n 0,7054<\/td>\n 0,7088<\/td>\n 0,7123<\/td>\n 0,7157<\/td>\n 0,7190<\/td>\n 0,7224<\/td>\n<\/tr>\n
0,6<\/th>\n 0,7257<\/td>\n 0,7291<\/td>\n 0,7324<\/td>\n 0,7357<\/td>\n 0,7389<\/td>\n 0,7422<\/td>\n 0,7454<\/td>\n 0,7486<\/td>\n 0,7517<\/td>\n 0,7549<\/td>\n<\/tr>\n
0,7<\/th>\n 0.7580<\/td>\n 0,7611<\/td>\n 0.7642<\/td>\n 0.7673<\/td>\n 0.7704<\/td>\n 0,7734<\/td>\n 0,7764<\/td>\n 0,7794<\/td>\n 0,7823<\/td>\n 0,7852<\/td>\n<\/tr>\n
0,8<\/th>\n 0,7881<\/td>\n 0,7910<\/td>\n 0,7939<\/td>\n 0,7967<\/td>\n 0,7995<\/td>\n 0.8023<\/td>\n 0,8051<\/td>\n 0,8078<\/td>\n 0,8106<\/td>\n 0,8133<\/td>\n<\/tr>\n
0,9<\/th>\n 0,8159<\/td>\n 0,8186<\/td>\n 0.8212<\/td>\n 0,8238<\/td>\n 0,8264<\/td>\n 0,8289<\/td>\n 0,8315<\/td>\n 0.8340<\/td>\n 0.8365<\/td>\n 0,8389 <\/td>\n<\/tr>\n
<\/th>\n 0,00<\/th>\n 0,01<\/th>\n 0,02<\/th>\n 0,03<\/th>\n 0,04<\/th>\n 0,05<\/th>\n 0,06<\/th>\n 0,07<\/th>\n 0,08<\/th>\n 0,09<\/th>\n<\/tr>\n
1.0<\/th>\n 0,8413<\/td>\n 0,8438<\/td>\n 0,8461<\/td>\n 0,8485<\/td>\n 0,8508<\/td>\n 0,8531<\/td>\n 0,8554<\/td>\n 0,8577<\/td>\n 0,8599<\/td>\n 0.8621<\/td>\n<\/tr>\n
1.1<\/th>\n 0.8643<\/td>\n 0,8665<\/td>\n 0,8686<\/td>\n 0,8708<\/td>\n 0,8729<\/td>\n 0,8749<\/td>\n 0.8770<\/td>\n 0,8790<\/td>\n 0,8810<\/td>\n 0,8830<\/td>\n<\/tr>\n
1.2<\/th>\n 0,8849<\/td>\n 0,8869<\/td>\n 0,8888<\/td>\n 0,8907<\/td>\n 0,8925<\/td>\n 0,8944<\/td>\n 0,8962<\/td>\n 0,8980<\/td>\n 0,8997<\/td>\n 0,9015<\/td>\n<\/tr>\n
1.3<\/th>\n 0,9032<\/td>\n 0,9049<\/td>\n 0,9066<\/td>\n 0,9082<\/td>\n 0,9099<\/td>\n 0,9115<\/td>\n 0,9131<\/td>\n 0,9147<\/td>\n 0,9162<\/td>\n 0,9177<\/td>\n<\/tr>\n
1.4<\/th>\n 0,9192<\/td>\n 0.9207<\/td>\n 0.9222<\/td>\n 0,9236<\/td>\n 0.9251<\/td>\n 0,9265<\/td>\n 0,9279<\/td>\n 0,9292<\/td>\n 0.9306<\/td>\n 0,9319<\/td>\n<\/tr>\n
1.5<\/th>\n 0,9332<\/td>\n 0,9345<\/td>\n 0,9357<\/td>\n 0.9370<\/td>\n 0,9382<\/td>\n 0,9394<\/td>\n 0.9406<\/td>\n 0,9418<\/td>\n 0,9429<\/td>\n 0,9441<\/td>\n<\/tr>\n
1.6<\/th>\n 0,9452<\/td>\n 0.9463<\/td>\n 0,9474<\/td>\n 0,9484<\/td>\n 0,9495<\/td>\n 0,9505<\/td>\n 0,9515<\/td>\n 0,9525<\/td>\n 0,9535<\/td>\n 0,9545<\/td>\n<\/tr>\n
1.7<\/th>\n 0,9554<\/td>\n 0,9564<\/td>\n 0.9573<\/td>\n 0,9582<\/td>\n 0,9591<\/td>\n 0,9599<\/td>\n 0,9608<\/td>\n 0,9616<\/td>\n 0,9625<\/td>\n 0,9633<\/td>\n<\/tr>\n
1.8<\/th>\n 0,9641<\/td>\n 0,9649<\/td>\n 0,9656<\/td>\n 0,9664<\/td>\n 0,9671<\/td>\n 0,9678<\/td>\n 0,9686<\/td>\n 0,9693<\/td>\n 0,9699<\/td>\n 0.9706<\/td>\n<\/tr>\n
1.9<\/th>\n 0,9713<\/td>\n 0,9719<\/td>\n 0,9726<\/td>\n 0,9732<\/td>\n 0,9738<\/td>\n 0,9744<\/td>\n 0.9750<\/td>\n 0,9756<\/td>\n 0,9761<\/td>\n 0,9767 <\/td>\n<\/tr>\n
<\/th>\n 0,00<\/th>\n 0,01<\/th>\n 0,02<\/th>\n 0,03<\/th>\n 0,04<\/th>\n 0,05<\/th>\n 0,06<\/th>\n 0,07<\/th>\n 0,08<\/th>\n 0,09<\/th>\n<\/tr>\n
2.0<\/th>\n 0.9772<\/td>\n 0,9778<\/td>\n 0,9783<\/td>\n 0,9788<\/td>\n 0,9793<\/td>\n 0,9798<\/td>\n 0.9803<\/td>\n 0,9808<\/td>\n 0,9812<\/td>\n 0,9817<\/td>\n<\/tr>\n
2.1<\/th>\n 0,9821<\/td>\n 0,9826<\/td>\n 0,9830<\/td>\n 0,9834<\/td>\n 0,9838<\/td>\n 0,9842<\/td>\n 0,9846<\/td>\n 0,9850<\/td>\n 0,9854<\/td>\n 0,9857<\/td>\n<\/tr>\n
2.2<\/th>\n 0,9861<\/td>\n 0,9864<\/td>\n 0,9868<\/td>\n 0,9871<\/td>\n 0,9875<\/td>\n 0,9878<\/td>\n 0,9881<\/td>\n 0,9884<\/td>\n 0,9887<\/td>\n 0,9890<\/td>\n<\/tr>\n
23<\/th>\n 0,9893<\/td>\n 0,9896<\/td>\n 0,9898<\/td>\n 0.9901<\/td>\n 0,9904<\/td>\n 0,9906<\/td>\n 0,9909<\/td>\n 0,9911<\/td>\n 0,9913<\/td>\n 0,9916<\/td>\n<\/tr>\n
2.4<\/th>\n 0,9918<\/td>\n 0,9920<\/td>\n 0,9922<\/td>\n 0,9925<\/td>\n 0,9927<\/td>\n 0,9929<\/td>\n 0,9931<\/td>\n 0,9932<\/td>\n 0,9934<\/td>\n 0,9936<\/td>\n<\/tr>\n
2.5<\/th>\n 0,9938<\/td>\n 0,9940<\/td>\n 0,9941<\/td>\n 0,9943<\/td>\n 0,9945<\/td>\n 0,9946<\/td>\n 0,9948<\/td>\n 0,9949<\/td>\n 0,9951<\/td>\n 0,9952<\/td>\n<\/tr>\n
2.6<\/th>\n 0,9953<\/td>\n 0,9955<\/td>\n 0,9956<\/td>\n 0,9957<\/td>\n 0,9959<\/td>\n 0,9960<\/td>\n 0,9961<\/td>\n 0,9962<\/td>\n 0,9963<\/td>\n 0,9964<\/td>\n<\/tr>\n
2.7<\/th>\n 0,9965<\/td>\n 0,9966<\/td>\n 0,9967<\/td>\n 0,9968<\/td>\n 0,9969<\/td>\n 0,9970<\/td>\n 0,9971<\/td>\n 0,9972<\/td>\n 0,9973<\/td>\n 0,9974<\/td>\n<\/tr>\n
2.8<\/th>\n 0,9974<\/td>\n 0,9975<\/td>\n 0,9976<\/td>\n 0,9977<\/td>\n 0,9977<\/td>\n 0,9978<\/td>\n 0,9979<\/td>\n 0,9979<\/td>\n 0,9980<\/td>\n 0,9981<\/td>\n<\/tr>\n
2.9<\/th>\n 0,9981<\/td>\n 0,9982<\/td>\n 0,9982<\/td>\n 0,9983<\/td>\n 0,9984<\/td>\n 0,9984<\/td>\n 0,9985<\/td>\n 0,9985<\/td>\n 0,9986<\/td>\n 0,9986 <\/td>\n<\/tr>\n
<\/th>\n 0,00<\/th>\n 0,01<\/th>\n 0,02<\/th>\n 0,03<\/th>\n 0,04<\/th>\n 0,05<\/th>\n 0,06<\/th>\n 0,07<\/th>\n 0,08<\/th>\n 0,09<\/th>\n<\/tr>\n
3<\/th>\n 0,9987<\/td>\n 0,9987<\/td>\n 0,9987<\/td>\n 0,9988<\/td>\n 0,9988<\/td>\n 0,9989<\/td>\n 0,9989<\/td>\n 0,9989<\/td>\n 0,9990<\/td>\n 0,9990<\/td>\n<\/tr>\n
3.1<\/th>\n 0,9990<\/td>\n 0,9991<\/td>\n 0,9991<\/td>\n 0,9991<\/td>\n 0,9992<\/td>\n 0,9992<\/td>\n 0,9992<\/td>\n 0,9992<\/td>\n 0,9993<\/td>\n 0,9993<\/td>\n<\/tr>\n
3.2<\/th>\n 0,9993<\/td>\n 0,9993<\/td>\n 0,9994<\/td>\n 0,9994<\/td>\n 0,9994<\/td>\n 0,9994<\/td>\n 0,9994<\/td>\n 0,9995<\/td>\n 0,9995<\/td>\n 0,9995<\/td>\n<\/tr>\n
3.3<\/th>\n 0,9995<\/td>\n 0,9995<\/td>\n 0,9995<\/td>\n 0,9996<\/td>\n 0,9996<\/td>\n 0,9996<\/td>\n 0,9996<\/td>\n 0,9996<\/td>\n 0,9996<\/td>\n 0,9997<\/td>\n<\/tr>\n
3.4<\/th>\n 0,9997<\/td>\n 0,9997<\/td>\n 0,9997<\/td>\n 0,9997<\/td>\n 0,9997<\/td>\n 0,9997<\/td>\n 0,9997<\/td>\n 0,9997<\/td>\n 0,9997<\/td>\n 0,9998<\/td>\n<\/tr>\n
3.5<\/th>\n 0,9998<\/td>\n 0,9998<\/td>\n 0,9998<\/td>\n 0,9998<\/td>\n 0,9998<\/td>\n 0,9998<\/td>\n 0,9998<\/td>\n 0,9998<\/td>\n 0,9998<\/td>\n 0,9998<\/td>\n<\/tr>\n
3.6<\/th>\n 0,9998<\/td>\n 0,9998<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n<\/tr>\n
3.7<\/th>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n<\/tr>\n
3.8<\/th>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n 0,9999<\/td>\n<\/tr>\n
3.9<\/th>\n 1.0000<\/td>\n 1.0000<\/td>\n 1.0000<\/td>\n 1.0000<\/td>\n 1.0000<\/td>\n 1.0000<\/td>\n 1.0000<\/td>\n 1.0000<\/td>\n 1.0000<\/td>\n 1.0000 <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n

<\/span> Normal da\u011f\u0131l\u0131m tablosu nas\u0131l kullan\u0131l\u0131r?<\/span><\/h2>\n

Normal da\u011f\u0131l\u0131m tablosunu kullanmak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 izlemelisiniz:<\/p>\n

    \n
  1. Normal da\u011f\u0131l\u0131m\u0131n de\u011ferini standartla\u015ft\u0131r\u0131n (veya tiplendirin). Bunu yapmak i\u00e7in, de\u011ferden normal da\u011f\u0131l\u0131m\u0131n ortalamas\u0131n\u0131 \u00e7\u0131karmam\u0131z ve ard\u0131ndan normal da\u011f\u0131l\u0131m\u0131n standart sapmas\u0131na b\u00f6lmemiz gerekir.<\/span><\/li>\n
  2. \u00d6nceki ad\u0131mda elde edilen de\u011ferin tamsay\u0131 k\u0131sm\u0131na ve ilk ondal\u0131k basama\u011f\u0131na kar\u015f\u0131l\u0131k gelen sat\u0131r \u00fczerinden tabloya girin.<\/span><\/li>\n
  3. Elde edilen de\u011ferin ikinci ondal\u0131k basama\u011f\u0131n\u0131n s\u00fctununa g\u00f6re tabloya girin.<\/span><\/li>\n
  4. K\u00fcm\u00fclatif olas\u0131l\u0131k de\u011feri, \u00f6nceki ad\u0131mlardaki sat\u0131r ve s\u00fctunun bulu\u015ftu\u011fu yerde bulunan de\u011ferdir.<\/span><\/li>\n<\/ol>\n

    Normal da\u011f\u0131l\u0131m tablosunu kullanman\u0131n bir \u00f6rne\u011fini g\u00f6rebilmeniz i\u00e7in, a\u015fa\u011f\u0131da ortalamas\u0131 28 ve standart sapmas\u0131 7 olan normal da\u011f\u0131l\u0131mda bir de\u011ferin 33’ten k\u00fc\u00e7\u00fck olmas\u0131n\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131n\u0131 bulaca\u011f\u0131z.<\/p>\n<\/p>\n

    \"N(28,7)\\<\/p>\n<\/p>\n

    Normal da\u011f\u0131l\u0131m tablosunu kullanabilmek i\u00e7in \u00f6ncelikle standart normal da\u011f\u0131l\u0131m elde edecek \u015fekilde yazma i\u015flemini ger\u00e7ekle\u015ftirmeliyiz. Bunu yapmak i\u00e7in ortalamay\u0131 s\u00f6z konusu de\u011ferden \u00e7\u0131karman\u0131z ve ard\u0131ndan da\u011f\u0131l\u0131m\u0131n standart sapmas\u0131na b\u00f6lmeniz gerekir:<\/p>\n<\/p>\n

    \"Z=\\cfrac{X-\\mu}{\\sigma}\"<\/p>\n<\/p>\n

    Yani ortalamay\u0131 \u00e7\u0131kar\u0131yoruz ve olas\u0131l\u0131k de\u011ferini standart sapmaya b\u00f6l\u00fcyoruz:<\/p>\n<\/p>\n

    \"\\displaystyle<\/p>\n<\/p>\n

    De\u011fi\u015fkeni standartla\u015ft\u0131rd\u0131ktan sonra, 0,71 de\u011ferinin hangi olas\u0131l\u0131\u011fa kar\u015f\u0131l\u0131k geldi\u011fini g\u00f6rmek i\u00e7in standart normal da\u011f\u0131l\u0131m olas\u0131l\u0131k tablosuna (yukar\u0131 bak\u0131n) gideriz:<\/p>\n<\/p>\n

    \"\\displaystyle<\/p>\n<\/p>\n

    Dolay\u0131s\u0131yla 0,71’e e\u015fit veya daha k\u00fc\u00e7\u00fck bir de\u011fer elde etme olas\u0131l\u0131\u011f\u0131 %76,11’dir.<\/p>\n

    S\u00fcre\u00e7te elde edilen Z de\u011feri negatif ise olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in Z’nin pozitif de\u011ferini olas\u0131l\u0131ktan \u00e7\u0131karmam\u0131z gerekti\u011fini unutmay\u0131n. A\u015fa\u011f\u0131daki \u00f6rne\u011fe bak\u0131n:<\/p>\n<\/p>\n

    \"\\begin{array}{l}P[Z\\leq<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"

    Bu makalede normal da\u011f\u0131l\u0131m tablosunu ve ayr\u0131ca normal da\u011f\u0131l\u0131m tablosunun nas\u0131l kullan\u0131laca\u011f\u0131na ili\u015fkin baz\u0131 talimatlar bulacaks\u0131n\u0131z. Normal da\u011f\u0131l\u0131m tablosu de\u011ferleri A\u015fa\u011f\u0131daki tablo normal da\u011f\u0131l\u0131m\u0131n (sol kuyruk) k\u00fcm\u00fclatif olas\u0131l\u0131k de\u011ferlerini g\u00f6stermektedir. Bu tablodaki de\u011ferlerin standart normal da\u011f\u0131l\u0131ma kar\u015f\u0131l\u0131k geldi\u011fini unutmay\u0131n; dolay\u0131s\u0131yla tabloyu kullanmak i\u00e7in \u00f6nce de\u011fi\u015fkeni girmeniz gerekir. z 0,00 0,01 0,02 0,03 0,04 0,05 0,06 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-223","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"\n\u25b7 Normal da\u011f\u0131l\u0131m tablosu<\/title>\n<meta name=\"description\" content=\"Burada normal da\u011f\u0131l\u0131m tablosunu ve ayr\u0131ca normal da\u011f\u0131l\u0131m tablosunun nas\u0131l kullan\u0131laca\u011f\u0131na ili\u015fkin baz\u0131 talimatlar\u0131 bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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