Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

A simple random simple consists of five observation 2, 4, 6, 5, 8. The Point estimate of Population Standard deviation is

Options:

5

10

3

$\sqrt{5}$

Correct Answer:

$\sqrt{5}$

Explanation:

The correct answer is Option (4) → $\sqrt{5}$

Mean, $\bar x=\frac{2+4+6+5+8}{5}=\frac{25}{5}=5$

$s^2=\frac{∑(x_i-\bar x)^2}{n-1}=\frac{9+1+1+0+9}{5-1}$

$=\frac{20}{4}=5$

$⇒s=\sqrt{5}$