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Worksheets

Making Inferences and Drawing Conclusions

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

A book store took a random survey of customers about their favorite book genre. The table shows the number of customers who selected each genre. Based on the information in the table, which inference about the favorite genre of all the customers appears to be valid?

a)

They are certain to select Romance or Young Adult

b)

They are less likely to select Sci-Fi than Horror, Non-Fiction or History

c)

They are more likely to select Romance than Sci-Fi, Horror, and History

d)

They are certain to select any genre other than History

2.

Petunia conducted a random survey of students to determine the favorite genre of music of 50 students. The results are shown in the bar graph. Based on the information in the graph, which inference about the students is valid?

a)

Girls like country music more than boys like rap music

b)

More girls than boys like rock music

c)

Boys like country music more than rock music

d)

Boys like rock music more than girls like rap music

3.

A survey was taken at a school of 30 students favorite food. The circle graph shows the number of students who selected each. Based on the information in the graph, which inference about the favorite food of all students appears to be valid?

a)

It is certain that a student will choose Pizza

b)

It is less likely that a student will choose Pasta or Hamburgers over Pizza

c)

It is certain that a student will NOT choose Pasta

d)

It is more likely that a student will choose Pizza over Hamburgers, Pasta, or Other combined

4.

A random survey was conducted at an office about the workers favorite office supply. The results are shown in the table below. Based on the information in the table, which inference about favorite office supply of all the workers appears to be valid?

a)

It is certain that an office worker will NOT choose Tape as their favorite office supply

b)

It is certain that an office worker will choose Paper as their favorite office supply

c)

It is more likely that an office worker will choose Pens, Staplers, or Paper Clips over Paper

d)

More people like Staplers or Paper Clips over Pens/Pencils

5.

The circle graph shows the results of a random survey of students who plan to attend the school dance. Based on the information in the graph, which inference about the general population of students is valid?

a)

More 6th graders than 7th and 8th graders plan to attend the dance

b)

8th graders do not like to dance

c)

It is certain that a 6th grader will attend the dance

d)

It is more likely that a 7th grader will attend the dance than a 8th grader attending

6.

The results of a random survey about a person's favorite pet is shown in the table. Based on the information in the table, which inference about the favorite pet of the general population appears to be valid?

a)

It is certain that a person will choose Dog as their favorite pet

b)

It is less likely a person will choose Dog than Cat or Fish

c)

It is more likely a person will choose Fish or Bird than Cat

d)

Dogs are liked more than all other animals combined

7.

A random survey of people at the mall was taken to determine favorite color. The results are shown in the circle graph. Based on the information in the graph, which inference about the general population is valid?

a)

It is more likely someone will choose Blue than Red or Pink

b)

It is certain that someone will NOT choose Black

c)

It is less likely someone will choose Red than Green, Pink, or Purple

d)

More people like Blue than all other colors combined

8.

The bar graph shows the results of a random survey of people about their favorite fruit. Based on the information in the graph, which inference about the general population is valid?

a)

More men than women like apples

b)

More men like bananas than women like strawberries

c)

More women like strawberries than men who like apples

d)

It is certain that a woman will choose strawberries

9.

The results of a random survey of students about their favorite extracurricular activity are shown in the graph. Based on the information in the graph, which inference about the general population of students is valid?

a)

Less Boys like Choir than Girls like No Activity

b)

More Girls than Boys like Band

c)

Girls like Choir more than Boys like Sports

d)

An equal amount of Boys and Girls like Band

10.

If Mr. Estes looked at the means (averages) for the last SAFE Quiz for his classes, and the averages were 72%, 71%, and 74%, what inference can you make based on those averages?

4 lines
11.

If Mr. Estes looked at the means (averages) for the last SAFE Quiz for his classes, and the averages were 81%, 82%, and 99%, what inference can you make based on those averages?

4 lines
12.

Based on the Box Plots, which statement is correct.

a)

The temperatures were higher on average in St. Louis

b)

The temperatures varied more noticeably in Washington, D.C.

c)

The temperatures had a higher measure of center in Washington, D.C.

d)

St. Louis had the hottest recorded temperature

13.

Based on the Box Plots, which statement is correct.

a)

The hottest temperature was recorded in St. Louis

b)

St. Louis had the coldest temperature recorded

c)

The temperatures had a higher measure of center in St. Louis

d)

The lowest temperature was recorded in Washington, D.C.

14.

Based on the Box Plots, which statement is correct.

a)

Washington, D.C. had the hottest temperature recorded

b)

Washington, D.C. had the coldest temperature recorded

c)

The weather varied more in Washington, D.C.

d)

The temperatures had a higher measure of center in St. Louis

15.

Q1. How many red shirts are there?

a)

A) 5 red shirts

b)

B) 17 red shirts

c)

C) 40 red shirts

d)

D) 83 red shirts

16.

Brazil asks 7 classmates how many erasers and pens they carry in their bags. The mean number of erasers is 10. The mean number of pens is 4. What inference could Brazil make using this data?

a)

Most of Brazil's classmates carry more pens than erasers in their bags.

b)

All of Brazil's classmates carry more erasers than pens in their bags.

c)

Most of Brazil's classmates carry more erasers than pens in their bags.

d)

Most of Brazil's classmates carry similar amounts of erasers and pens in their bags.

17.

The table shows the finish times of 30 runners in the 100-meter dash. Use the table to identify the inference that can be made by comparing the measures of center.

a)

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

b)

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

c)

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

d)

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

18.

One week, Kyasia drove to work. The next week, she rode the train. Each day, she recorded how long it took in minutes. What can Kyasia infer from the two data sets?

a)

The time it take to get to drive to work is more consistent than the time it takes to take the train.

b)

Based on the mean, it generally takes longer to take the train to work.

c)

In terms of time, it is less consistent to drive than it is to take the train to work.

d)

It's impossible to make any inferences based on the data display.

19.

The dot plots show the weights of a random sample of fish from two lakes. Pick the statement that describes the variability of the samples.

a)

The variability of the weights of the fish in Lake S is greater than the variability of the weights of the fish in Lake R.

b)

The variability of the weights of the fish in the two lakes are about the same.

c)

The variability of the weights of the fish in Lake R is greater than the variability of the weights of the fish in Lake S.

d)

You cannot determine variability based on a dot plot.

20.

There are 400 students at Polly's school. She surveyed a random sample of 80 students to find their favorite hobby. 19 said they like to read. 30 said they like to be with friends. 8 said they like to do crafts. 23 said they like to play sports. Polly infers that doing crafts is the least popular hobby at her school. Refer to the data table. Polly surveys two more samples. Do the results from these samples support the inference made from the first sample?

a)

Yes, the survey results support the inference that doing crafts is the least popular hobby at Polly's school.

b)

No, the survey results does not support the inference that doing crafts is the least popular hobby at Polly's school.