Question

The box plot shows the times for sprinters on a track team.

(A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 42, 44, 50, 54, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.)

Which of the following lists the range and IQR for this data?

Answer 1

The range of the data is 2.5 and the IQR is 1.4.

Step-by-step explanation:

The range of the data is calculated by subtracting the minimum value from the maximum value. In this case, the minimum value is 38.5 and the maximum value is 41, so the range is 41 - 38.5 = 2.5.

The IQR (interquartile range) is the difference between the first quartile (Q1) and the third quartile (Q3). The first quartile is 39.3 and the third quartile is 40.7, so the IQR is 40.7 - 39.3 = 1.4.