Solveeit Logo

Question

Mathematics Question on Variance and Standard Deviation

Standard deviation for first 1010 natural numbers is

A

5.55.5

B

3.873.87

C

2.972.97

D

2.872.87

Answer

2.872.87

Explanation

Solution

S.D.S.D. of first nn natural numbers is n2112\sqrt{\frac{n^{2}-1}{12}}, Substitute n=10n = 10, we get S.D.=9912=8.25=2.87S.D. =\sqrt{\frac{99}{12}}=\sqrt{8.25}=2.87