Question

the five values for a data set are:
minimum = 11
lower quartile = 12
median = 23.5
upper quartile = 27
maximum = 33

where will the different sections of the box plot be located?
the box will go from
to 27.
a line dividing the box will go at
the left whisker will go from 11 to
the right whisker will go from
to 33.

Explanation:

Step1: Recall box - plot components

A box - plot (box - and - whisker plot) has a box that spans from the lower quartile (\(Q_1\)) to the upper quartile (\(Q_3\)). The line inside the box is the median (\(Q_2\)). The left whisker goes from the minimum value to the lower quartile, and the right whisker goes from the upper quartile to the maximum value.
Given: minimum \(=11\), lower quartile \(Q_1 = 12\), median \(Q_2=23.5\), upper quartile \(Q_3 = 27\), maximum \(=33\)

Step2: Fill in the blanks

• The box will go from the lower quartile to the upper quartile. So, the box will go from \(12\) to \(27\).
• A line dividing the box (the median) will go at \(23.5\).
• The left whisker will go from the minimum (\(11\)) to the lower quartile (\(12\)).
• The right whisker will go from the upper quartile (\(27\)) to the maximum (\(33\)).

Answer:

The box will go from \(12\) to \(27\). A line dividing the box will go at \(23.5\). The left whisker will go from \(11\) to \(12\). The right whisker will go from \(27\) to \(33\).