Question

The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141.
(i) What is the height of the tallest girl?
(ii) What is the height of the shortest girl?
(iii) What is the range of the data?
(iv) What is the mean height of the girls?
(v) How many girls have heights more than the mean height.

Answer 1

Arranging the heights of 10 girls in ascending order, 128, 132, 135, 139, 141, 143, 146, 149, 150, 151
(i) Height of the tallest girl = 151 cm
(ii) Height of the shortest girl = 128 cm
(iii) Range = (151 - 128) cm = 23 cm
(iv) Mean height = (\(\frac{(135 + 150 + 139 + 128 + 151 + 132 + 146 + 149 + 143 + 141)}{10}\) = \(\frac{1414}{10}\) = 141.4 cm
(v) The heights of 5 girls are greater than the mean height (i.e., 141.4 cm) and these heights are 143, 146, 149, 150, and 151 cm.