Question

the box plot below represents some data set. approximately what percentage of the data values are less than 40?

Explanation:

Step1: Recall box - plot properties

A box - plot divides data into quartiles. The first quartile ($Q_1$) represents the 25th percentile, the median ($Q_2$) represents the 50th percentile, and the third quartile ($Q_3$) represents the 75th percentile.

Step2: Locate 40 on the box - plot

The value 40 is at the first quartile mark of the box - plot.

Step3: Determine the percentage

Since the first quartile represents the 25th percentile, approximately 25% of the data values are less than 40.

Answer:

25%