Question

14. Calculate standard deviation if C.V.- 7.25% and arithmetic mean is 44.8 *
324.8
O
3.24
O
32.4
None of these​

Answer 1

Given:
Arithmetic Mean= 44.8

CV= 7.25

To find:

Standard Deviation= ?

Explanation:

Coefficient of Variable: CV=(σ /$X$ )· 100%

=7.25 (SD × 44.8) · 100%

σ =(7.25 × 44.8) 100

σ =324.8/100

σ =3.248

Therefore, option 2, that is, 3.24 is correct.

Answer 2

Given:

Coefficient of variation= 7.25%

Arithmetic mean=44.8

To find:

The standard deviation

Solution:

The standard deviation is 3.248.

We can find the value by following the given process-

We know that the coefficient of variation is the percentage of standard deviation and the arithmetic mean of data.

So, the coefficient of variation=standard deviation/Arithmetic mean×100

We know that the coefficient of variation= 7.25% and the arithmetic mean=44.8

On putting the values, we get

7.25=Standard deviation/44.8×100

7.25×44.8/100=Standard deviation

3.248=Standard deviation

Therefore, the standard deviation is 3.248.