Question

the box plot shows the number of jumping jacks completed in a workout class by the class members.
jumping jacks completed
number of jumping jacks
which of the following lists the range and iqr for this data?
the range is 23, and the iqr is 37.
the range is 40, and the iqr is 37.
the range is 40, and the iqr is 23.
the range is 37, and the iqr is 23.

Explanation:

Step1: Find min and max values

Min = 14, Max = 54

Step2: Calculate the range

$\text{Range} = 54 - 14 = 40$

Step3: Find Q1 and Q3 values

Q1 = 26, Q3 = 49

Step4: Calculate the IQR

$\text{IQR} = 49 - 26 = 23$

Answer:

The range is 40, and the IQR is 23.