Question

The heights (in cm) of 9 girls are:
144.2, 148.5, 143.7, 149.6, 150, 146.5, 145, 147.3, 152.1.
Find the median height.

Answer 1

On arranging the heights in ascending order, we get:
143.7, 144.2, 145, 146.5, 147.3, 148.5, 149.6, 150, 152.1
Here, n is 9, which is an odd number.
Thus, we have:
$\mathrm{Median}=\mathrm{Value}\mathrm{of}\left(\frac{n+1}{2}\right)\mathrm{th}\mathrm{observation}$
$$\begin{gathered} \mathrm{Median}\mathrm{height}=\mathrm{Value}\mathrm{of}\left(\frac{9+1}{2}\right)\mathrm{th}\mathrm{observation} \\ =\mathrm{Value}\mathrm{of}\mathrm{the}5\mathrm{th}\mathrm{observation} \\ =147.3 \\ \mathrm{Hence},\mathrm{the}\mathrm{median}\mathrm{height}\mathrm{is}147.3\mathrm{cm}. \end{gathered}$$