Question

The weights of 10 students (in kilograms) are:

36, 45, 31, 52, 35, 40, 55, 60, 38, 44

Find the median weight. [2 MARKS]

Answer 1

Concept:1 Mark
Application: 1 Mark

Arranging the weights in an ascending order, we have:

31, 35, 36, 38, 40, 44, 45, 52, 55, 60

Here, n = 10, which is even

$\therefore$ median weight = average of $\left(\frac{10}{2}\right)th$ and $(\frac{10}{2}+1)thterms$

= average of 5th and 6th terms

$=\frac{1}{2}(40+44)kg=\frac{84}{2}kg=42kg$

Hence, the median weight is 42 kg.