Question

tyler collected data from two groups of runners. he shows his data in two data displays. choose the statement that correctly compares the data. average heart rate (bpm) the interquartile range (iqr) of group a is less than the iqr of group b. the iqr of group a is greater than the iqr of group b. the iqrs of the two groups are approximately equal. group a group b 30 35 40 45 50 55 60 65 70 75 80

Explanation:

Step1: Recall IQR definition

The inter - quartile range (IQR) is the length of the box in a box - and - whisker plot, which is calculated as $Q_3 - Q_1$ (third quartile minus first quartile).

Step2: Observe Group A box - and - whisker plot

For Group A, assume the first quartile $Q_1$ is at approximately 50 and the third quartile $Q_3$ is at approximately 65. So, $IQR_A=65 - 50=15$.

Step3: Observe Group B box - and - whisker plot

For Group B, assume the first quartile $Q_1$ is at approximately 45 and the third quartile $Q_3$ is at approximately 60. So, $IQR_B=60 - 45 = 15$.

Answer:

The IQRs of the two groups are approximately equal.