Question

Question 69(iv)
Given below are heights of 15 boys of a class measured in centimetres:
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)
$\therefore$ Median = Value of $\left(\frac{n+1}{2}\right)th$ observation = Value of $\left(\frac{15+1}{2}\right)th$ observation
=Value of 8 th observation
= 142 cm