AnswersAlgebra 2 MP 234 CHSRepresenting Data

Representing Data Answers

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1
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Which best represents the center of the data set below? Average Monthly Grocery Bill

Question illustration
A
mean
B
median
C
range
D
mode
2
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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
3

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.
4

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.
5

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.
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 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.
8

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
9

A representative from plan 1 wants to use the graph below to sell health plans for his company. How might the graph be redrawn to emphasize the difference between the cost per doctor visit for each of the three plans?

Question illustration
A
The scale on the y-axis could be changed to 0–100.
B
The scale on the y-axis could be changed to 25–40.
C
The interval of the y-axis could be changed to count by 5s.
D
The interval of the y-axis could be changed to count by 20s.
10

The graphs below display new car values for cars at the same dealership. The graphs display the same data. Which graph is more likely to show a buyer that it is a good time to buy a car?

Question illustration
A
graph 1 because the x-axis scale makes it look like cars are selling at a lower price
B
graph 1 because the y-axis scale makes it look like cars are selling at a lower price
C
graph 2 because the x-axis scale makes it look like cars are selling at a lower price
D
graph 2 because the y-axis scale makes it look like cars are selling at a lower price

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Representing Data Answers — Algebra 2 MP 234 CHS