Question

the box plots show the weights, in pounds, of the dogs in two different animal shelters.
weights of dogs in shelter a
weights of dogs in shelter b
which correctly compares the ranges of the data?
the range in shelter a is 11, and the range in shelter b is 4.
the range in shelter a is 20, and the range in shelter b is 10.
the range in shelter a is 13, and the range in shelter b is 8.
the range in shelter a is 22, and the range in shelter b is 18.

Explanation:

Step1: Recall the formula for range

The range of a data - set is calculated as \(Range = Maximum - Minimum\).

Step2: Find the range for Shelter A

For Shelter A:
The maximum value is \(30\) and the minimum value is \(8\).
So, \(Range_A=30 - 8=22\).

Step3: Find the range for Shelter B

For Shelter B:
The maximum value is \(26\) and the minimum value is \(8\).
So, \(Range_B = 26-8 = 18\).

Answer:

The range in shelter A is 22, and the range in shelter B is 18.