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Make Comparative Inferences About Populations

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

The following box plots display how fast two different types of animals can run. Compare the median of each box plot.

a)

The medians are about the same.

b)

Animal 1 has a greater median.

c)

Animal 2 has a greater median.

2.

There are two types of plants in a greenhouse. The following dot plots show the heights of 20​ plants, 10 of Type 1 and 10 of Type 2. The plants are given the same amount of food and water and grow at the same rate. What is the mean height for Type 2?

a)

38

b)

39

3.

The following dot plots show the ages of two groups of tourists. Make a comparative inference based on the mean values. What is the first step for calculating the mean?

a)

The first step should be to count the ages that have dots and just average those numbers.

b)

The first step should be to count the number of dots for each age

4.

The following box plots show the frequency of test scores on a recent math test in two classes. Make a comparative inference about the populations based on the IQR. Choose the correct answer below. ?

a)

Class 1 has more varied class scores.

b)

Class 2 has more varied class scores.

c)

Class 1 has more consistent class scores.

d)

Both classes have equality consistent scores.

5.

What inference can you draw from this survey?

a)

I can infer that most students in this school like pizza.

b)

I can infer that very few students like hamburgers.

c)

I can infer that their favorite is corn dogs.

d)

I can infer that most students in this school like hamburgers.

6.

The table shows the results of a survey of 200 people attending a hockey game.
The attendance for the hockey game is about 25,000 visitors each game.  Based on the table, how many people out of 25,000 could be expected to buy a pennant?

a)

1,375

b)

1,650

c)

2,750

d)

3,850

7.

The table shows the finish times of 30 runners in the 100-meter dash. Which inference is true?

a)

The runners ran faster this year, on average, as compared to last year.

b)

Most runners ran faster last year, on average, as compared to this year.

c)

Every runner ran faster this year as compared to last year.

8.

The table shows the finish times of 30 runners in the 100-meter dash. Which inference is true?

a)

The runners ran faster this year, on average, as compared to last year.

b)

Most runners ran faster last year, on average, as compared to this year.

c)

Every runner ran faster this year as compared to last year.

9.

A travel club has 3,000 members. A random sample of 50 of the club members found that 12 people like mountain vacations best. Which statement is NOT supported by the sample data?

a)

Twenty-four percent of those sampled say they like mountain vacations best.

b)

An estimated 720 club members would likely say they enjoy mountain vacations best.

c)

Almost one-quarter of club members would likely say they enjoy mountain vacations best.

d)

More than 2,500 club members would likely say they prefer other vacations over mountain vacations.

10.

There are two movie theaters in a town. A student wants to compare the amount of money each theater makes over a period of days. The following box plots show the data for the amount of money each theater makes over a period of days. Compare the median of each box plot.

a)

The medians are about the same.

b)

Theater 1 has a greater median.

c)

Theater 2 has a greater median.

11.

The following box plots show the frequency of test scores on a recent math test in two classes. What is the interquartile range​ (IQR) of the test scores for Class 1?

a)

35

b)

40

c)

45

d)

50

12.

The following box plots show the frequency of test scores on a recent math test in two classes. What is the interquartile range​ (IQR) of the test scores for Class 2?

a)

35

b)

40

c)

45

d)

50

13.

The box plots show the amount of time farmers from two farms spent harvesting crops over the past 2 months. Determine the IQR for Farm 1.

a)

6

b)

7

c)

8

d)

9

14.

The box plots show the amount of time farmers from two farms spent harvesting crops over the past 2 months. What inference can be made based on the IQR of both Farms?

a)

Farm 2 has more variability in hours spent harvesting.

b)

Farm 1 has more consistent hours spent harvesting.

c)

Farm 2 has more consistent hours spent harvesting.

d)

Both farms are equally varied in the hours spent harvesting.

15.

The following box plots show the high​ temperatures, in degrees​ Fahrenheit, in two cities over the past 10 days. What might you conclude about the cities based on the interquartile​ ranges?

a)

The weather pattern in City 2 is more consistent than the weather pattern in City 1.

b)

The weather patterns in City 1 and City 2 are equally consistent.

c)

The weather pattern in City 1 is more consistent than the weather pattern in City 2.

16.

In an effort to try to convince her mother that she is too old to join the intermediate swim​ class, Mira, who is 13 years​ old, gathers data on the ages of a random sample of members of the current intermediate swim class. The results of the data collected by Mira are displayed in the dot plot shown.

a)

It is likely that she will be able to convince her mother.​ Mira's age is within the area where the data are clustered.

b)

It is likely that she will be able to convince her mother.​ Mira's age is to the left of the area where the data are clustered.

c)

It is unlikely that she will be able to convince her mother.​ Mira's age is within the area where the data are clustered.

d)

It is unlikely that she will be able to convince her mother.​ Mira's age is to the left of the area where the data are clustered.

17.

Angela is comparing the amount of rainfall over the past month in two cities on days when it rained. In City​ 1, the range in rainfall is 4.5 centimeters and the interquartile range​ (IQR) is 1.5 centimeters. In City​ 2, the range is 5 centimeters and the IQR is 3 centimeters. What might you conclude about the cities based on the ranges and interquartile​ ranges?

a)

The rainfall amounts on days when it rains have the same variability for City 1 and City 2.

b)

The rainfall amounts on days when it rains have greater variability for City 1 than those for City 2.

c)

The rainfall amounts on days when it rains have greater variability for City 2 than those for City 1.

d)

The rainfall amounts on days when it rains are generally greater for City 2 than those for City 1.

18.

The box plots show the amount of time farmers from two farms spent harvesting crops over the past 2 months. Determine the IQR for Farm 2.

a)

6

b)

7

c)

8

d)

9

19.

100 second graders were asked to do a book report about one of these four zoo animals.  The number of students who chose each animal is shown in the table.  If 250 second graders had to choose of of the four animals, predict how many would choose to write about a giraffe.

a)

60 students

b)

50 students

c)

40 students

d)

30 students

20.

150 people were polled on their favorite sport.  Based on the table, if you asked only 25 people what their favorite sport is, how many would say soccer is their favorite sport?

a)

5 people

b)

6 people

c)

8 people

d)

10 people