Question

Given the box plot, will the mean or the median provide a better description of the center?

*box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15*

Answer 1

A- The mean, because the data distribution is symmetrical

Explanation:

When the number of values to the left and left of a distribution are almost or the same, such that the peak of the distribution is at the centre and the tail are spread out at both sides, then we say we have a symmetrical distribution. For, symmetrical data, the mean is the best measure of centre. However, for non - symmetrical distributions (skewed) the median is usually taken as the measure of centre of the data. However, since the distribution Given above, is almost symmetrical, then the mean sglhoukdnbe the preferred measure of centre.