The standard deviation of first 10 natural numbers is: - Vidyadip

MCQ

The standard deviation of first $10$ natural numbers is:

A
$5.5$
B
$3.87$
C
$2.97$
✓
$2.87$

✓

Answer

Correct option: D.

$2.87$

We know that the standard deviation of first $n$ natural number is $\sqrt{\frac{\text{n}^2-1}{12}}.$
$\therefore$ Standard deviation of first $10$ natural numbers
$=\sqrt{\frac{10^2-1}{12}}$
$=\sqrt{\frac{99}{12}}$
$=\sqrt{8.25}$
$=2.87$
Hence, the correct answer is option $(d).$

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