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Representing Data Answers

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Gemma is creating a histogram based on the table below. Salary RangeNumber of People0 - $19,99940$20,000 - $39,99930$40,000 - $59,99935Which scale can she use for the vertical axis such that the difference in the heights of the bars is maximized?

A
0–50
B
0–40
C
10–50
D
25–40
2
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The histograms below show the ages of dogs at four different shelters. For which set of data is the mean most likely greater than the median?

A
A bar graph has age on the x-axis and number of dogs on the y-axis. There is 1 dog that is 0 to 1 year of age; 4 dogs that are 2 to 3; 2 dogs that are 4 to 5; 0 dogs that are 6 to 7; 1 dog that is 8 to 9.
Option A
B
A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 3 dogs that are 2 to 3; 4 dogs that are 4 to 5; 3 dogs that are 6 to 7; 0 dogs that are 8 to 9.
Option B
C
A bar graph has age on the x-axis and number of dogs on the y-axis. A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 4 dogs that are 6 to 7; 1 dog that is 8 to 9.
Option C
D
A bar graph has age on the x-axis and number of dogs on the y-axis. There are 2 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 1 dog that is 6 to 7; 2 dogs that are 8 to 9.
Option D
3

Which best represents the center of the data set below? Average Monthly Grocery Bill

Question illustration
A
mean
B
median
C
range
D
mode
4

The histogram below shows the age distribution of Elizabeth’s grandchildren. The box-and-whisker plot below shows the same data. Which of the following best explains why one graph appears skewed and one graph appears symmetric?

Question illustration
A
The intervals on the x-axis of the histogram are too large.
B
The interval on the y-axis of the histogram is too small.
C
The interval on the x-axis of the histogram is inconsistent.
D
The interval on the box-and-whisker plot is too small.
5

Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below?

Question illustration
A
interquartile range
B
median
C
mean
D
range
6

Which measure would be the most appropriate to describe the center of the data in the histogram below?

Question illustration
A
mean
B
range
C
median
D
interquartile range
7

Thirty adults were asked how many pets they have had over their lifetime. The results are shown in the histogram below. Which of the following is most likely true?

Question illustration
A
The mean and median are both in the interval 1–5.
B
The mean and median are both in the interval 6–10.
C
The mean is in the interval 6–10, and the median is in the interval 1–5.
D
The mean is in the interval 1–5, and the median is in the interval 6–10.
8

The stem-and-leaf plot below shows the number of pages each student in the class read the previous evening. According to the plot, 75% of students read less than

Question illustration
A
13 pages.
B
33 pages.
C
35 pages.
D
46 pages.
9

The stem-and-leaf plot below shows the amount of tips received by the servers in a restaurant in one night. Why is the plot misleading?

Question illustration
A
The plot shows that the data is skewed.
B
There is not an equal number of data points for each stem.
C
The plot shows duplicate data points.
D
The stem does not clearly show the outlier.
10

Charles owns a catering business. The amount his 10 most recent clients spent is shown in the histogram below. Why is the graph misleading?

Question illustration
A
The x-axis scale shows the data is more clustered than it actually is.
B
The y-axis scale shows the data is more skewed than it actually is.
C
The scales are different on the x-axis and the y-axis.
D
The data is not distributed equally across the x-axis intervals.

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