Question

Learning by doing
(1.) Given the following data, find out quartile deviation and the coefficient of
deviation:
Wages
0-5 5-10 10-15 15–20 20-25
25-30
Number of workers
4 6 3 8 12 7​

Answer 1

$\boxed{quatile \: deviation \: = \frac{q3 - q1}{2}}$

$q1 = size \: of \: \frac{n}{4} th \: term \:$

$q3 = 3 \frac{n}{4}t h \: term$

$coefficient \: = \frac{q3 - q1}{q3 + q1}$

$q.d \: = \frac{23.75 - 10}{2}$

$\huge {= 6.875}$

$coefficient \: = \frac{23.75 - 10}{23.75 + 10}$

$= \frac{13.75}{33.75}$

$\huge {= 0.4}$