1-Mavzu: Tasodifiy miqdor va ularning turlari Ta’rif

1.5-misol.Tanlanma taqsimot 50 ta kuzatishdan iborat bo’lib quyidagi taqsimot bilan berilgan:

xi	1	2	3	4
ni	20	15	10	5

1. 
   Tanlanma o’rta qiymatni;
   
2. 
   Tanlanma dispersiyani;
   
3. 
   Tanlanma o’rtacha kvadratik chetlanishni toping.
   

Yechish. a) (1.2) formulaga ko’ra

b) (1.4) formulaga asosan tanlanma dispersiyani hisoblaymiz:
.
c) Topilgan tanlanma dispersiyadan kvadrat ildiz olib tanlanma o’rtacha kvadratik chetlanishni topamiz:
.

1^ Jay L. Devore, Kenneth N. Berk. Modern Mathematical Statistics with Applications (Second Edition).- Springer Science+Business Media, LLC 2012. Page 48.

2^ Jay L. Devore, Kenneth N. Berk. Modern Mathematical Statistics with Applications (Second Edition).- Springer Science+Business Media, LLC 2012. Page 48

3^ Jay L. Devore, Kenneth N. Berk. Modern Mathematical Statistics with Applications (Second Edition).- Springer Science+Business Media, LLC 2012. Page 48

4^ Jay L. Devore, Kenneth N. Berk. Modern Mathematical Statistics with Applications (Second Edition).- Springer Science+Business Media, LLC 2012. Page 76.

5^ Jay L. Devore, Kenneth N. Berk. Modern Mathematical Statistics with Applications (Second Edition).- Springer Science+Business Media, LLC 2012. Page 80.

6^Jay L. Devore, Kenneth N. Berk. Modern Mathematical Statistics with Applications (Second Edition).-Springer Science+Business Media, LLC 2012. Page 3-5

7^Jay L. Devore, Kenneth N. Berk. Modern Mathematical Statistics with Applications (Second Edition).-Springer Science+Business Media, LLC 2012. Page 3.