Which data set could be represented by this box plot

Asked by maham237 @ in Mathematics viewed by 287 People

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.

Answered by maham237 @


Answer:

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.


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