# If for a Sample of Size 60, We Have the Following Information ∑ X 2 I = 18000 and ∑ X I = 960 , Then the Variance Is(A) 6.63 (B) 16 (C) 22 (D) 44 - Mathematics

MCQ

If for a sample of size 60, we have the following information $\sum_{} x_i^2 = 18000$ and $\sum_{} x_i = 960$ , then the variance is

• 6.63

•  16

• 22

• 44

#### Solution

Given:

$\sum_{} x_i^2 = 18000$ ,  $\sum_{} x_i = 960$   and n = 60

∴ Variance

$= \frac{\sum_{} x_i^2}{n} - \left( \frac{\sum_{} x_i}{n} \right)^2$

$= \frac{18000}{60} - \left( \frac{960}{60} \right)^2$

$= 300 - 256$

$= 44$

Concept: Statistics - Statistics Concept
Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 32 Statistics
Q 15 | Page 51