statistik taqsimotlarni tahlil qilish bo‘yicha misollar to‘plami

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6.5-misol. ko’paytmalar usulidan foydalanib quyidagi statistic taqsimotning tanlanma o’rtacha qiymatini va tanlanma dispersiyasini toping: xi 10,2 10,4 10,6 10,8 11,0 11,2 11,4 11,6 11,8 12,0 ni 2 3 8 13 25 20 12 10 6 1 yechish. tanlanma hajmi n=100, qadam h=0,2, soxta nol c=11,0. ko’paytmalar jadvalini tuzamiz: xi ni ui uini niui2 ni(ui+1)2 10,2 2 -4 -8 32 18 10,4 3 -3 -9 27 12 10,6 8 -2 -16 32 8 10,8 13 -1 -13 13 0 11,0 25 0 0 0 25 11,2 20 1 20 20 80 11,4 12 2 24 48 108 11,6 10 3 30 90 160 11,8 6 4 24 96 150 12,0 1 5 5 25 36 n=100 tekshirish: demak hisoblash to’g’ri bajarilgan. birinchi va ikkinchi tartibli shartli momentlarni hisoblaymiz: bularga asosan, tanlanma o’rtacha qiymat va tanlanma dispersiyani hisoblaymiz: , . 6.10-misol. ushbu taqsimot bo’yicha normal egri chiziqni yasang: xi 15 20 25 …

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= × - = h m m v t 38 , 7 , 7 , 34 = = t t s x i x i n t i x x - t t i i s x x u - = ( ) i u j ( ) i t i u s h n y j × × = å = 366 i y å = 57 i i u n å = 383 2 i i u n å = + 597 ) 1 ( 2 i i u n

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6.5-misol. ko’paytmalar usulidan foydalanib quyidagi statistic taqsimotning tanlanma o’rtacha qiymatini va tanlanma dispersiyasini toping: xi 10,2 10,4 10,6 10,8 11,0 11,2 11,4 11,6 11,8 12,0 ni 2 3 8 13 25 20 12 10 6 1 yechish. tanlanma hajmi n=100, qadam h=0,2, soxta nol c=11,0. ko’paytmalar jadvalini tuzamiz: xi ni ui uini niui2 ni(ui+1)2 10,2 2 -4 -8 32 18 10,4 3 -3 -9 27 12 10,6 8 -2 -16 32 8 10,8 13 -1 -13 13 0 11,0 25 0 0 0 25 11,2 20 1 20 20 80 11,4 12 2 24 48 108 11,6 10 3 30 90 160 11,8 6 4 24 96 150 12,0 1 5 5 25 36 n=100 tekshirish: demak hisoblash to’g’ri bajarilgan. …

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