Question

From the following data, calculate the coefficient of quartile deviation. Also, find the range of wages of the middle 50% of the workers.
Wages
less than
10 20 30 40 50 60 70
C.F. 5 8 15 20 30 33 35
what does " wages of middle 50% of the workers. " means

Answer 1

Explanation:

Here,

Highest value (H)= 35

Lowest value (L) = 15

Range= Highest value − Lowest value

i.e. R= H− L

Substituting the given values in the formula

R= 35 − 15= 20

Coefficient of Range is as follows:

CR =

H-L

H+L

or, CR =

35-15

35+15

=

20

50

⇒ CR =0.4

Hence, the range (R) of the above data is 20 and coefficient of Range (CR) is 0.4