Question

question the box-and-whisker plot below represents some data set. what is the minimum value of the data?

Explanation:

Step1: Recall box - whisker plot components

In a box - and - whisker plot, the left - most whisker (the lower whisker) extends from the minimum value to the first quartile (\(Q_1\)). The end of the lower whisker represents the minimum value of the data set.

Step2: Analyze the given plot

Looking at the number line of the box - and - whisker plot, the lower whisker starts at 17 (since the tick marks are at 15, 18, 21, 24, 27 and the lower whisker's end is halfway between 15 and 18? Wait, no, re - examining: Wait, the vertical line (whisker) on the left (lower) side: Let's check the scale. The numbers are 15, 18, 21, 24, 27. The lower whisker's end is at 17? Wait, maybe the scale is with intervals. Wait, from 15 to 18, the distance is 3, so maybe each small tick is 1. Wait, the lower whisker's end is at 17 (since 15, then 16, 17, then 18). So the minimum value is the value at the end of the lower whisker, which is 17.

Answer:

17