Question:
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.
Solution:
Arranging the weights (in kg) in ascending order, we have:
9.8, 10.6, 12.7, 13.4, 14.3, 15, 16.5, 17.2
Here, n is 8, which is an even number.
Thus, we have
Median $=$ Mean of $\left(\frac{n}{2}\right)$ th & $\left(\frac{n}{2}+1\right)$ th observations
Median weight $=$ Mean of $\left(\frac{8}{2}\right)$ th & $\left(\frac{8}{2}+1\right)$ th observations
$=$ Mean of 4 th & 5 th observations
$=\frac{1}{2}(13.4+14.3)$
$=13.85$
Hence, the median weight is 13.85 kg.