Which data set could be represented by the box plot shown below? A horizontal boxplot is plotted along a horizontal axis marked from 14 to 30, in increments of 1. A left whisker extends from 16 to 18. The box extends from 18 to 26 and is divided into 2 parts by a vertical line segment at 22. The right whisker extends from 26 to 28. All values estimated.

Question

Mathematics

Seth Choi

2 January, 07:10

Which data set could be represented by the box plot shown below? A horizontal boxplot is plotted along a horizontal axis marked from 14 to 30, in increments of 1. A left whisker extends from 16 to 18. The box extends from 18 to 26 and is divided into 2 parts by a vertical line segment at 22. The right whisker extends from 26 to 28. All values estimated.

+2

Answers (1)

Know the Answer?

Julianne Holt · Answer 1

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Step-by-step explanation:

Interpreting Box Plots

We use a box plot to present the 5-Number summary of a set of data.

The values contained in the 5-Number summary are:

Minimum Value First Quartile Median Third Quartile, Maximum Value

In the box plot, the following rules apply:

The whisker starts from the minimum value and ends at the first quartile. The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median. The end whisker starts at the third quartile and ends at the maximum value.

Using these, we interpret the given box plot

A left whisker extends from 16 to 18, therefore:

Minimum Value=16 First Quartile = 18

The box extends from 18 to 26 and is divided into 2 parts by a vertical line segment at 22.

Median=22 Thrid Quartile=26

The right whisker extends from 26 to 28.

Maximum Value = 28

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.