Question

interpreting a box plot
choose the set of letters that represents each situation.
the range of the data =
the top 25% of the data =
the interquartile range =

Explanation:

Step1: Recall box - plot components

In a box - plot, the range is calculated as \( \text{Range}=\text{Maximum}-\text{Minimum} \). The points \( A \) (minimum) and \( E \) (maximum) are used for the range.

Step2: Recall top 25% data

The top 25% of the data lies above the upper quartile (\( Q_3 \)). In a box - plot, the upper quartile is the right - hand side of the box (\( D \)) and the maximum (\( E \)).

Step3: Recall inter - quartile range

The inter - quartile range (\( IQR = Q_3 - Q_1 \)). In a box - plot, \( Q_1 \) is the left - hand side of the box (\( B \)) and \( Q_3 \) is the right - hand side of the box (\( D \)).

Answer:

The range of the data \(=A\) and \(E\).
The top 25% of the data \(=D\) and \(E\).
The interquartile range \(=B\) and \(D\).