Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

The point estimate of the population variance for a random sample consisting of five observations: 11, 15, 15, 19 and 20 is :

Options:

10.4

13

16

12.75

Correct Answer:

10.4

Explanation:

The correct answer is Option (1) → 10.4

The point estimate of the population variation is,

$s^2=\frac{∑(x_i-\bar x)^2}{n}$

Mean, $\bar x=\frac{11+15+15+19+20}{5}=16$

$s^2=\frac{25+1+1+9+16}{5}=10.4$