AnswersAdvanced Algebra CCRepresenting Data

Representing Data Answers

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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.
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

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

Question illustration
A
mean
B
median
C
range
D
mode
6

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
7

Indira makes a box-and-whisker plot of her data. She finds that the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value. Which is most likely true?

A
The mean is greater than the median because the data is skewed to the right.
B
The mean is greater than the median because the data is skewed to the left.
C
The mean is less than the median because the data is skewed to the right.
D
The mean is less than the median because the data is skewed to the left.
8

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
9

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.
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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