Question

which box plot correctly displays the data set with a maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?

Explanation:

Step1: Recall box plot components

A box plot has: left whisker at minimum (27), left box edge at lower quartile (32), box line at median (36), right box edge at upper quartile (45), right whisker at maximum (48).

Step2: Match values to each plot

• First plot: Min=27, Q1=32, Median=36, Q3=45, Max=48. This matches all given values.
• Second plot: Max ends at 45 (does not match 48).
• Third plot: Q3=40, Max=50 (does not match 45, 48).
• Fourth plot: Q3=40, Max=48 (does not match 45).

Answer:

The first (topmost) box plot, with whiskers at 27 and 48, box edges at 32 and 45, and median line at 36.