Question

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

Height(cm)	Number of children
148 – 152	8
152 – 156	10
156 – 160	15
160 – 164	10
164 – 168	7

What is the mean height of a child in this class?

Answer 1

Height (cm)	No. of children	Mid Value	Total Height
148 -152	8	150	150 × 8 = 1200
152 -156	10	154	154 × 10 = 1540
156 -160	15	158	158 × 15 = 2370
160 -164	10	162	162 × 10 = 1620
164 -168	7	166	160 × 7 = 1162
Total	50		7892

Mean height = \(\frac{Total\,height}{No\,of\,children}\)

= \(\frac{7892}{50}\) = 157.84 cm