Question

Find the median of the following :

Minutes taken to write a test :

$15,18,9,10,10,12,8,9,16,12,13,11,8,9,14,15$

Answer 1

Finding median of the given data:

Given data, $15,18,9,10,10,12,8,9,16,12,13,11,8,9,14,15$

Arranging in ascending order:$8,8,9,9,9,10,10,11,12,12,13,14,15,15,16,18$

Here number of terms, $n=16$

So, $Median=\frac{\frac{n}{2}thterm+\left(\frac{n+1}{2}\right)thterm}{2}$

Hence, Median $$\begin{gathered} =\frac{\frac{16}{2}thterm+(\frac{16}{2}+1)thterm}{2} \\ =\frac{8^{th}term+9^{th}term}{2} \\ =\frac{11+12}{2} \\ =\frac{23}{2} \\ =11.5 \end{gathered}$$

Hence, Median of the given data is $11.5$.