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 $