Question

1. If the standard deviation of a set of data is 1.6, then the variance is
(A) 0.4 (B) 2.56 (C) 1.96 (D) 0.04

Answer 1

Answer:

Step-by-step explanation:

The standard deviation is the square root of variance.

So, the variance will be square of standard deviation.

Variance = (1.6)²

=> 1.6*1.6

=> 2.56

Thus, answer is option B.

Answer 2

If the standard deviation of a set of data is 1.6, then the variance is 2.56 (option B).

Given,

The standard deviation of a set of data = 1.6

To find,

The value of the variance.

Solution,

The variance will be 2.56.

We can easily solve this problem by following the given steps.

According to the question,

The standard deviation of a set of data = 1.6

We know that the following relation is found between standard deviation and the variance:

Variance = (Standard deviation)²

Variance = (1.6)²

Variance = (1.6×1.6)

Variance = 2.56

[More to know: the formula to find the Coefficient of Variation is (standard deviation × 100)/Mean.]

Hence, the variance is 2.56.