Question

Find the median of the following :

$19,23,27,21,25,25,20,18,22,25,27,26,19,22,24,23$

Answer 1

Finding median of the given data:

Given data, $19,23,27,21,25,25,20,18,22,25,27,26,19,22,24,23$

Arranging in ascending order: $18,19,19,20,21,22,22,23,23,24,25,25,25,26,27,27$

Number of terms, $n=16$

Therefore,

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

$$\begin{gathered} =\frac{\frac{16}{2}thterm+\left(\frac{16}{2}+1\right)thterm}{2} \\ =\frac{8^{th}term+9^{th}term}{2} \\ =\frac{23+23}{2} \\ =\frac{46}{2} \\ =23 \end{gathered}$$

Hence, median of the given data is $23$.