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Bu videoda

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seçmənin variasiyasından bəhs edəcəyəm.

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Lakin seçmənin variasiyası haqqında danışmazdan öncə

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populyasinan variasiyasını və

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düsturunu xatırlayaq.

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Belə ki, populyasianın variasiyası

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yunan hərfi olan siqma ilə işarə olunur.

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Kiçik siqmanın kvadratı.

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Bu, variasiya deməkdir.

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Bilirəm, hansısa dəyişənin birbaşa kvadrat şəklində

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ifadə olunması bir az qəribə görünür.

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Lakin burada əsas dəyişən kvadrata yüksəlməyib.

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Bu, elə dəyişənin özüdür.

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Yəni siqmanın kvadratı elə variasiyanı ifadə edir.

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Gəlin bunu yazılı şəkildə də qeyd edək.

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Bu, variasiyaya bərabərdir.

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Variasiyanı hesablayarkən

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informasiya nöqtələrindən istifadə edəcəyik ki, onlar da x(i) ilə işarə olunur.

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Sonra isə bu nöqtə ilə

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populyasiyanın ədədi ortası arasında nə qədər

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fərq olduğunu tapmaq lazımdır.

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Bunu kvadrata yüksəldirik, sonra da alınan nəticənin orta qiymətini tapırıq.

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Orta qiyməti tapmaq üçün isə

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bunların hamısı toplayırıq.

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i=1 nöqtəsindən başlayırıq,

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sonuncu nöqtə isə N-dir.

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İndi isə orta qiyməti tapmaq üçün yuxarıdakıları toplayıb,

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alınan nəticəni N-ə böləcəyik.

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Beləliklə, variasiya populyasiyanın ədədi ortası ilə hər bir

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nöqtə arasındakı məsafənin kvadratları cəminin orta qiymətinə bərabər oldu.

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Başqa sözlə ifadə etsəm,

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bu, hər bir nöqtənin mərkəzdən

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təxmini nə qədər aralı olduğunu göstərir.

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Düşünürəm ki, bu, anlamaq üçün ən yaxşı yoldur.

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Bir nüans var. Bu düstur populyasiya üçün idi, düzdür?

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