Question

which type of graph most readily shows the interquartile range for a data set?
bar graphs
box plots
dot plots
histograms

Explanation:

• Bar graphs: Used to compare categorical data, not for showing quartiles or interquartile range.
• Box plots: The box in a box - plot represents the interquartile range (IQR). The lower edge of the box is the first quartile ($Q_1$) and the upper edge is the third quartile ($Q_3$), and $IQR = Q_3 - Q_1$.
• Dot plots: Show the distribution of data points, but do not directly display quartiles.
• Histograms: Show the frequency distribution of data, but do not directly show quartiles.

Answer:

box plots