Question

Given below are heights of 15 boys of a class measured in cm:

128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154

Find the median height of the boys.

Answer 1

Given, height (data) of 15 boys of a class are

128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154

Arranging the given data in ascending order, we have

128, 129, 136, 138, 140, 140, 142, 142, 143, 144, 144, 146, 150, 152, 154

Here, n = 15   ......(Odd)

∴ Median = Value of ${\displaystyle \left(\frac{n+1}{2}\right)}$th observation

= Value of ${\displaystyle \left(\frac{15+1}{2}\right)}$th observation

= Value of 8th conservation 

= 142 cm