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 describes the spread of the data in the two box plots? the data in shelter a show more spread than the data in shelter b. the data in shelter b show more spread than the data in shelter a. the data in shelter a range from about 17 to 28, while the data in shelter b range from about 16 to 20. the data in shelter a range from about 21 to 28, while the data in shelter b range from about 18 to 20.

Explanation:

Step1: Calculate the range for Shelter A

The range is the difference between the maximum and minimum values. For Shelter A, the minimum is \(6\) and the maximum is \(30\). So the range is \(30 - 6=24\).

Step2: Calculate the range for Shelter B

For Shelter B, the minimum is \(14\) and the maximum is \(30\). So the range is \(30 - 14 = 16\).

Step3: Compare the ranges

Since \(24>16\), the data in Shelter A has a larger spread (range) than the data in Shelter B.

Answer:

The data in shelter A show more spread than the data in shelter B.