Question

Consider the data set.

35, 63, 22, 42, 18, 15, 33, 21, 21, 37, 40

Which box-and-whisker plot correlates with the data set?

Answer 1

A Box and Whisker Plot shows the five-number summary of a set of data. To find those values, first let's rewrite our dataset from smaller to bigger values.

`\lbrace15,18,21,21,22,33,35,37,40,42,63\rbrace`

The extreme points of the whiskers represents the minimum and maximum values of our dataset. The whisker on the left start at 15 and the whisker on the right side of the box ends at 63. The middle value of the box is the median of the dataset.

The median is the middle number in a sorted, ascending or descending, list of numbers. The median of this dataset is 33. The left value of the box in a box and whisker plot is the lower quartile, and the value on the right is the upper quartile. The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.

The upper quartile of our dataset is 40, and the lower quartile of our dataset is 21.

The plot that corresponds to this description is the first box and whisker plot.