Question

In a frequency distribution, the coefficient of skewness based on quartiles is 0.5, if the sum of the upper and lower quartile is 28 and the median is 11, find the value of lower and upper quartiles.

Answer 1

According to the question,  the coefficient of skewness based on quartiles is 0.5, if the sum of the upper and lower quartile is 28 and the median is 11.

Now, the expression for coefficient of skewness based on quartiles is given by--

, where Q₃ & Q₁ are respectively the third and first quartile of the frequency distribution , Me is the median of the frequency distribution

Given,

Then,

i.e. the upper and lower quartiles are 20 & 8 respectively.