Question

identifying the values needed to create a box plot
what values do you need to know to create a box plot? choose three correct answers.
range
mean
interquartile range
lower quartile
maximum value
median

Explanation:

A box - plot (also known as a box - and - whisker plot) is constructed using the five - number summary of a data set: minimum value, lower quartile (\(Q_1\)), median (\(Q_2\)), upper quartile (\(Q_3\)), and maximum value. Among the given options:

• The lower quartile (\(Q_1\)) is part of the five - number summary.
• The maximum value is part of the five - number summary.
• The median (\(Q_2\)) is part of the five - number summary.

The range (\(= \text{Max}-\text{Min}\)) and inter - quartile range (\(=Q_3 - Q_1\)) can be calculated from the five - number summary, but they are not directly used to construct the box - plot. The mean is not part of the five - number summary used for a box - plot.

Answer:

lower quartile, maximum value, median