Question

The mean and standard deviations of height and weights of 50 students of a class are as follows :

$\begin{array}{ccc}& \text{Weights}& \text{Heights}\\ \text{Mean}& 63.2\text{kg}& 63.2\text{inch}\\ \text{Standard deviation}& 5.6\text{kg}& 11.5\text{inch}\end{array}$

Which shows more variability, heights or weights ?

Answer 1

We observe that the average weights and heights for the 50 students is same i.e. 63.2 Therefore, the parameter with greater variance will have more variability.

Thus, height has greater variability than weights.