The weights (in kg) of 8 children are :

13.4, 10.6, 12.7, 17.2, 14.3, 15, 16.5, 9.8

Find the median weight.

By arranging data in ascending order, we get :

9.8, 10.6, 12.7, 13.4, 14.3, 15, 16.5, 17.2

Number of observations, n = 8, which is even.

By formula,

$\Rightarrow \text{Median} = \dfrac{\left(\dfrac{n}{2}\right)^{\text{th}} \text{term} + \left(\dfrac{n}{2} + 1\right)^{\text{th}} \text{term}}{2} \\[1em] \Rightarrow \text{Median} = \dfrac{\left(\dfrac{8}{2}\right)^{\text{th}} \text{term} + \left(\dfrac{8}{2} + 1\right)^{\text{th}} \text{term}}{2} \\[1em] \Rightarrow \text{Median} = \dfrac{\text{4th term} + \text{5th term}}{2} \\[1em] \Rightarrow \text{Median} = \dfrac{\text{13.4} + \text{14.3}}{2} \\[1em] \Rightarrow \text{Median} = \dfrac{\text{27.7}}{2} \\[1em]$

∴ Median = 13.85.

Hence, median is 13.85 kg.