Name:_____________________________________ Date: _____________ Period: ______________

Math 8 Unit 3 Test – Bivariate Data

PA Keystone Common Core Standards: 2.2.8.C.1, 2.4.8.B.2

Score Objective Score Objective

3-1 Simple Probability 3-2 Constructing Two Way Tables

3-3 Frequency Distributions 3-4 Applications of two way tables

Unit 3 Objective 1 ________

A jar contains 14 red marbles, 5 black marbles, 8 white marbles, and 9 blue marbles. Find the following probabilities.

1. P(red) 2. P(black) 3 P(yellow) 4. P(blue)

Probability
(Fraction and
Percentage)

Using a standard deck of playing cards, find the following probabilities.

5. P(Jack) 6. P(Heart) 7. P(Odd #) 8. P(# > 6 card)

Probability
(Fraction and
Percentage)

FACECARD

Rolling a number cube, find the following probabilities.

9. P(# < 4) 10. P(not 5) 11. P(even #) 12. P(1)

Probability
(Fraction and
Percentage)
Unit 3 Objective 2 ________

Use the two way table below to answer the following questions:

Like Do Not Like Totals

Snowboarding Snowboards
Like Skiing 95 60 155

Do Not Like Skiing 65 30 95

Totals 160 90 250

1. How many students participated in the survey?________

2. How many students like snowboarding? ________

3. How many students like skiing but do not like snowboards? ________

4. How many students said they do not like skiing? ________

5. If a random student is chosen, what is the probability they like skiing and snowboards? ________

6. Complete the two way table below: Baseball Football Total

Grade Ave >85% 30
Grade Ave <85% 55
Total 95 155

7. Create a two way table depicting the information below:

A group of travelers were asked which mode of transportation, car or airplane, they prefer when traveling to New
York or Florida.

The results of the questionnaire are as follows:

NY Florida Total
 11 people prefer traveling by airplane to New York
Car
 34 people prefer traveling by car to New York
 36 people prefer traveling by airplane to Florida Airplane
 19 people prefer traveling by car to Florida
Total
Unit 3 Objective 3 ________
Given the frequency table below, answer the following questions:

Art PE Music
Girls 0.53 0.62 0.27
Boys 0.47 0.38 0.73
Totals 1.00 1.00 1.00

1. Out of the students who chose Music, what percentage of them where girls? __________

2. What percentage of the girls chose Art? __________

3. What percentage boys chose PE? __________

4. If 196 total students chose Art, how many are boys? __________

5. Complete the missing values in the table below.

The table below shows the opinions of people regarding increasing the minimum wage:

FOR AGAINST NO OPINION TOTAL

21 – 40 YRS 25 50
OLD
41 – 60 YRS 20 20 75
OLD
OVER 60 YRS 15 5 75
OLD
TOTAL 100 70

6. Create a frequency distribution by the COLUMNS using the information above:

FOR AGAINST NO OPINION TOTAL

21 – 40 YRS
OLD
41 – 60 YRS
OLD
OVER 60 YRS
OLD
TOTAL
7. Given the relative frequency table below, answer the following true or false questions. If the statement is false,
rewrite it at as a true statement. If you are unable to determine if the statement is T/F from the table write “Unable to
Determine”:
BIKING TO SCHOOL
CAN BIKE CAN’T BIKE TOTAL
BOYS 0.64 0.36 1.00
GIRLS 0.47 0.53 1.00
TOTAL 0.53 0.47 1.00

A. There are more girls that can bike to school than boys.

Circle one of the following: True False Unable to Determine

If false, make it a true statement: _________________________________________________________

B. More boys were surveyed about biking to school than girls.

Circle one of the following: True False Unable to Determine

If false, make it a true statement: _________________________________________________________

C. The overwhelming majority of students cannot bike to school.

Circle one of the following: True False Unable to Determine

If false, make it a true statement: _________________________________________________________

D. 17% more boys can bike to school than girls.

Circle one of the following: True False Unable to Determine

If false, make it a true statement: _________________________________________________________

E. 28 more boys can bike to school than cannot.

Circle one of the following: True False Unable to Determine

If false, make it a true statement: _________________________________________________________

F. If there were 90 students who were surveyed, 21 cannot bike to school.

Circle one of the following: True False Unable to Determine

If false, make it a true statement: _________________________________________________________

Unit 3 Objective 4 ________

8. A marina collected data from a group of people regarding whether or not they have a boat and whether or not they
have a jet ski. The two-way table below shows the data collected.

A) Those who have a boat tend to have a jet ski

B) None of the correlations listed are correct

C) Those who have a boat tend not to have a jet skit

D) Those who do not have a boat tend not to have a jet ski

9. Melissa collected data from a group of people regarding whether or not they prefer turkey or ham and whether or not
they prefer mayonnaise or mustard on their sandwiches.
10. A group of people were polled to find whether or not they attended a community college or a university during their
college career.

The results of the poll are shown below.

 6 people attended both a community college and a university

 17 people attended just a community college
 28 people attended just a university
 9 people attended neither a community college nor a university

11. The owner of a food truck collected data on whether customers purchased tacos or a burrito and whether they
chose chicken or beef for the meat. The two-way table below shows the data collected.

Which correlation does the two-way table suggest?

A) Customers who purchase a burrito tend to choose beef

B) Customers who purchase tacos tend to choose chicken

C) Customers who purchase a burrito tend to choose chicken

D) None of the correlations listed are correct

31. A coffee shop collected data from its customers about which type of drink they prefer. The two-way table below
shows the data collected.

Black
Cappuccino Mocha Total
Coffee

Men 18 8 12 38

Women 4 24 14 42

Total 22 32 26 80

Which correlation does the two-way table suggest?

A) There is little interest in black coffee among women

B) There is a strong preference for mochas among men

C) There is little interest in black coffee among men

D) There is a strong preference for mochas among women