Question

The heights (in cm) of 9 students of a class are 148, 144, 152, 155, 160, 147, 150, 149, 145.
Find the median height.

Answer 1

Arranging the given data in ascending order:
144, 145, 147, 148, 149, 150, 152, 155, 160

Number of terms = 9 (odd)
$$\begin{gathered} \therefore \mathrm{Median}={\left(\frac{n+1}{2}\right)}^{\mathrm{th}}\mathrm{term} \\ ={\left(\frac{9+1}{2}\right)}^{\mathrm{th}}\mathrm{term} \\ =5^{\mathrm{th}}\mathrm{term} \\ =149 \end{gathered}$$

Hence, the median height is 149.