Question

Given below are heights of 15 boys of a class measured in cm:

128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.

Find

(a) The height of the tallest boy.

(b) The height of the shortest boy.

(c) The range of the given data.

(d) The median height of the boys.

Answer 1

Arranging the heights in ascending order, we get

128, 129, 136, 138, 140, 140, 142, 142, 143, 144, 144, 146, 150, 152, 154

(a) Height of the tallest boy is 154 cm.

(b) Height of the shortest boy is 128 cm.

(c) Range = Highest value – Lowest value = (154 – 128) cm = 26 cm

(d) Since, observations are odd in number

∴ Median height = Middle most height = 142 cm