AnswersAlgebra D E-Learning Fall 2023 and beyondBasic Statistics

Representing Data Answers

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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
2
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The box-and-whisker plot below shows the age distribution of people at a family reunion.The stem-and-leaf plot below shows the same data.Which of the following best explains why one graph appears skewed and one graph appears symmetrical?

Question illustration
A
The scale of the box-and-whisker plot does not start at zero.
B
The interval of the box-and-whisker plot is too large.
C
The interval of the stem-and-leaf plot is not consistent.
D
The scale of the stem-and-leaf plot is too small for the set of data.
3

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.
4

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
5

A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11What is value of the first quartile?

A
3
B
6
C
8
D
11
6

A histogram shows data that is skewed to the right. Which most likely describes the relationship between the mean and the median?

A
The mean is greater than the median. The rightmost values in the data set raise the mean more than the median.
B
The median is greater than the mean. The rightmost values in the data set raise the median more than the mean.
C
The mean is greater than the median. The leftmost values in the data set lower the median more than the mean.
D
The median is greater than the mean. The leftmost values in the data set lower the mean more than the median.
7

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.
8

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.
9

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.
10

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

Question illustration
A
mean
B
median
C
range
D
mode

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