Question

The table below shows the 60 children in a class sorted according to their heights

Height (cm)	Number of children’s
140-145	5
145-150	8
150-155	12
155-160	16
160-165	11
165-170	5
170-175	3

Find the median height?

Answer 1

Height (cm)	Number of children’s
below 140-145	5
below 145-150	13
below 150-155	25
below 155-160	41
below 160-165	52
below 165-170	57
below 170-175	60

Height of 30^th child = 155+\(\cfrac{5}{32}\)+4\(\cfrac{5}{16}\)

= 155\(\cfrac{5}{32}\)+\(\cfrac{40}{32}\)= 156\(\cfrac{13}{32}\)