Question

if standard deviation is 18.5, calculate quartile deviation and mean deviation

Answer 1

Qd = 3/2 *SD

Qd = 3/2 *18.5

Qd = 27.75

And I'm not sure about md, so I can't confuse you by giving wrong ans.

But Qd is correct ans. U can cheque

I hope this ans will help you.

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Answer 2

Given:

Standard deviation = 18.5

To find:

Quartile deviation

mean deviation

Solution:

We know that for a normal distribution the relation between standard deviation, quartile deviation, and mean deviation is

4SD = 5MD = 6QD

By using this formula we will find the quartile deviation and mean deviation

Quartile deviation

4 SD = 6 QD

QD = $\frac{4}{6}$ SD

QD = 12.33

Mean deviation

4SD = 5MD

MD = $\frac{4}{5}$ MD

MD = 14.8

Therefore the quartile deviation will be 12.33 and the mean deviation will be 14.8