The box plot displays the number of push-ups completed by 9 students in a PE class.

A box plot uses a number line from 12 to 58 with tick marks every 2 units. The box extends from 27.5 to 42.5 on the number line. A line in the box is at 37. The lines outside the box end at 15 and 55. The graph is titled Push-Ups In PE and the line is labeled Number of Push-Ups.

Which of the following represents the value of the lower quartile of the data?

27.5
37
42.5
55

1 answer

In a box plot, the lower quartile (also known as the first quartile) represents the 25th percentile of the data. It is indicated by the left edge of the box.

In the box plot described, the box extends from 27.5 to 42.5. Therefore, the lower quartile is represented by the left edge of the box, which is 27.5.

So, the value of the lower quartile of the data is 27.5.