Question

The box plots show the weights, in pounds, of the dogs in two different animal shelters.

Weights of Dogs in Shelter A
6
8
10
12
14
16
18
20
22
24
26
28
Weights of Dogs in Shelter B
Which is true of the data in the box plots? Select three choices.

Answer 1

Check below

Explanation:

Hi there. I miss some data on the question, like the choices for instance.

But, let's focus on the Box plot and Whiskers, then.

1. Plotting the data, since the data is organized.

2. Separating the Lowest and the biggest value

Lowest value: 6

Biggest value: 28

Calculating the quartiles, we have

6 8 10 12 14 16 | 18| 20 22 24 26 28

Q1=11.5

Q2= 17

Q3= 22.5

Q3-Q1=22.5-17=5.5 (Interquartile Range)

Answer 2

Question:

1) The median weight for shelter A is greater than that for shelter B.

2)The median weight for shelter B is greater than that for shelter A.

3) The data for shelter A are a symmetric data set.

4) The data for shelter B are a symmetric data set.

5) The interquartile range of shelter A is greater than the interquartile range of shelter B.

Answer:

The correct options are;

1) The median for shelter A is greater than that for shelter B

4) The data for shelter B are a symmetric data set

5)The interquartile range for shelter A is greater than the interquartile range for shelter B

Explanation:

Here we have weight of dogs in Shelter A

Min = 8

Max = 30

Lower interquartile = 17

Upper inter quartile = 28

Interquartile range = 28 - 17 = 9

Median = 21

For the dogs in shelter B

Min = 10

Max = 28

Lower interquartile = 16

Upper inter quartile = 20

Interquartile range = 20 - 16 = 4

Median = 18

Therefore, the median for shelter A is greater than that for shelter B

The data for shelter B are a symmetric data set

The interquartile range for shelter A is greater than the interquartile range for shelter B.