Question

which pieces of information can be gathered from these box plots? choose all answers that apply: a the basketball players are taller on average. b the heights of the basketball players vary noticeably more than those of the field hockey team. c none of the above

Explanation:

• For option A: The box plot's median (middle line of the box) and overall spread suggest basketball players (implied by the longer and shifted - right box - plot, though the basketball box - plot is partially shown but the field hockey is around 160 - 170 range and the other (basketball) is more towards higher values) have a higher average height.
• For option B: The range (distance between minimum and maximum) and the inter - quartile range (IQR, distance between Q1 and Q3) of the basketball players' height (from the box - plot) is larger than that of the field hockey team, so their heights vary more.

Answer:

A. The basketball players are taller on average.
B. The heights of the basketball players vary noticeably more than those of the field hockey team.