Answers Algebra 2 MP 234 CHSRepresenting Data

Representing Data Answers

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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?

The mean and median are both in the interval 1–5.

The mean and median are both in the interval 6–10.

The mean is in the interval 6–10, and the median is in the interval 1–5.

The mean is in the interval 1–5, and the median is in the interval 6–10.

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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?

graph 1 because the x-axis scale makes it look like cars are selling at a lower price

graph 1 because the y-axis scale makes it look like cars are selling at a lower price

graph 2 because the x-axis scale makes it look like cars are selling at a lower price

graph 2 because the y-axis scale makes it look like cars are selling at a lower price

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 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.

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.

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.

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.

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?

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

The x-axis scale shows the data is more clustered than it actually is.

The y-axis scale shows the data is more skewed than it actually is.

The scales are different on the x-axis and the y-axis.

The data is not distributed equally across the x-axis intervals.

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

mean

median

range

mode

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

interquartile range

median

mean

range

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?

0–50

0–40

10–50

25–40

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

The mean is greater than the median. The rightmost values in the data set raise the mean more than the median.

The median is greater than the mean. The rightmost values in the data set raise the median more than the mean.

The mean is greater than the median. The leftmost values in the data set lower the median more than the mean.

The median is greater than the mean. The leftmost values in the data set lower the mean more than the median.

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

13 pages.

33 pages.

35 pages.

46 pages.

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