Statistics And Probability Question 23

Question: Standard deviation for first 10 natural numbers is

Options:

A) 5.5

B) 3.87

C) 2.97

D) 2.87

Show Answer

Answer:

Correct Answer: D

Solution:

[d] we know that, SD of first n natural numbers $ =\sqrt{\frac{n^{2}-1}{12}} $
$ \therefore $ SD of first 10 natural numbers $ =\sqrt{\frac{10^{2}-1}{12}} $ $ =\sqrt{\frac{100-1}{12}}=\sqrt{\frac{99}{12}}=\sqrt{8.25}=2.87 $