1.

The standard deviation of first 10 natural numbers is A. 5.5 B. 3.87 C. 2.97 D. 2.87

Answer»

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

So, N =10

XiX2i
11
24
39
416
525
636
749
864
981
10100
Σxi = 55 Σx2i  = 385

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

\(\sigma =\sqrt{\Big(\frac{385}{10} - \Big(\frac{55}{10}\Big)^2\Big)}\) 

\(\sigma = \sqrt{38.5-30.25}\) 

\(\sigma = \sqrt{8.25}\) 

Hence, SD is 2.87



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