1.

Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. It is added to each number, the variance of the numbers so obtained is A. 6.5B. 2.87 C. 3.87 D. 8.25

Answer»

Consider numbers are 1,2,3,4,5,6,7,8,9,10 

If one is added to each number then, numbers will be 

Let say xi = 2,3,4,5,6,7,8,9,10,11

 So, N= 10

xix2i
24
39
416
525
636
749
864
981
10100
11121
Σxi = 65Σx2i = 505

Standard deviation Variance = \(\Big(\frac{\Sigma x^2_i}{N} - \Big(\frac{\Sigma x_i}{N}\Big)^2\Big)\)  

Variance = \(\Big(\frac{505}{10} - \Big(\frac{65}{10}\Big)^2\Big)\)  

Var = 8.25

Hence, the variance is 8.25


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