Question

If the standard deviation of 99 observations is 16, then its variance is

A) 256

B) 64

C) 32

D) 4
Explain this please
Wrong answers are not allowed ✋ ✋ ​

Answer 1

Answer:

256

Step-by-step explanation:

since,

Standard deviation =✓ Variance

hence, variance = (standard deviation)²

= 16²

= 256

Answer 2

The variance is 256 [ The correct option is A) 256 ]

Given :

The standard deviation of 99 observations is 16

To find :

The variance is

A) 256

B) 64

C) 32

D) 4

Solution :

Step 1 of 2 :

Write down standard deviation of given observations

Here it is given that the standard deviation of 99 observations is 16

Step 2 of 2 :

Calculate variance

We know that for any given set of observations

Variance = (Standard deviation)²

⇒ Variance = (16)²

⇒ Variance = 256

Hence the correct option is A) 256

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