Grade 7 Benchmark #5: Probability & Statistics

Name:______

Part 1 For Questions 1 -1 0, bubble in your answers on the scan card provided

Q1 (7S4)

The prices of plasma televisions at an electronics store are shown below.

$1,544 $1,242 $2,285 $1,116 $1,899 $1,649 $1,423 $1,242

What is the range of the prices of these plasma televisions?

1.  $1,043 2. $1,169 3. $1,242 4. $1,484

______Q2 (7S6)

Mr. Wilt prepares some chicken wings for a picnic. The bar graph below shows the number of different types of wings he prepares.

CHICKEN WINGS

20

18

16

14

12

10

8

6

4

2

0

Type

Based on the bar graph, which of these statements is true?

1.  Mr. Wilt prepares 2 more plain wings than hot wings.

2.  Mr. Wilt prepares twice as many plain wings as hot wings

3.  Mr. Wilt prepares 2 more barbecue wings than garlic wings

4.  Mr. Wilt prepares twice as many barbecue wings as garlic wings.

______

Q3 (7S12)

Joan flipped a coin 100 times during a mathematics experiment. The coin landed on tails 36 times. Based on Joan’s results, which of these statements is true?

1.  The coin landed on tails more than expected.

2.  The coin landed on heads less than expected.

3.  The coin landed on heads more than tails.

4.  The coin landed on heads less than tails

______

Q4 (7S8)

Jessie performs an experiment by spinning the arrow on a spinner. The spinner has four equal sections. The results of his experiment are shown in the table below.

JESSIE’S SPINNER EXPERIMENT

Outcome / Frequency
Blue / 11
Green / 11
Orange / 12
Red / 8

Based on the data in the table, what is the experimental probability that the arrow will land on red?

1.  2. 3. 4.

______

Q5 (7S9)

Brandon wants to conduct a survey as to whether mushrooms should be added to the pizzas sold in the school cafeteria. Which sampling method will offer Brandon the best results?

1.  interview every vegetarian student

2.  interview every student at a pizza parlor

3.  interview every student who brings lunch from home

4.  interview every student who eats lunch in the cafeteria

______

Q6 (7S6)

The number of fish sold at a fish market during a certain week is shown in the pictograph below.

FISH SOLD

KEY

= 5 fish

What is the total number of fish sold on Tuesday and Wednesday?

1.  10 2. 25 3. 45 4. 50

______

Q7 (7S10)

Veronica has a box that contains 24 pictures of her family, 6 pictures of her dog, and 12 pictures of her friends. Veronica randomly chooses one picture from the box. Which statement best describes what will likely occur?

1. She will definitely pick a picture of her family.

2. She will most likely pick a picture of her family.

3. She is equally likely to pick a picture of her family or of her dog.

4. She is equally likely to pick a picture of her family, of her dog, or of her friends

______

Q8 (7S12)

A number cube is a cube with each side labeled with a number 1 through 6. Debbie rolled a number cube 60 times. The tally table below shows the number of times each number, 1 through 6, appeared.

Before her experiment, Debbie expected each number on the cube to appear an equal number of times. Which statement best compares the results of Debbie’s rolls with her expectations?

1.  Debbie rolled more 5s than expected.

2.  Debbie rolled fewer 4s than expected.

3.  Debbie rolled more 3s than expected.

4.  Debbie rolled fewer 2s than expected.

______

Q9 (7S10)

Kasim’s Video Store has received a shipment of DVDs. The table below shows the number of each type of DVD in the shipment.

Kasim selects a DVD at random from the shipment. What is the probability that he chooses a western?

1.  2. 3. 4.

Q10 (7S9)

There are 500 students in Andrew’s school. Andrew wants to survey a sample of students to determine the most popular school subject. Which sampling method is the best to use to predict the most popular school subject?

1 randomly select 50 students from the student list of 500

2 randomly select 10 students having lunch in the cafeteria

3 select the first 50 girls entering the auditorium for an assembly

4 select the first 25 students leaving the building after school

Part 2 for Questions 10 – 13, answer in the spaces provided

Q11 (7S3)

The customer service department of a software company recorded the number of daily phone calls it received about a new product. The table below shows the data recorded each day during the first week and the tenth week.

NUMBER OF PHONE CALLS

Day / Week 1 / Week 10
Monday / 38 / 23
Tuesday / 41 / 17
Wednesday / 36 / 20
Thursday / 29 / 19
Friday / 32 / 14

On the grid below, create a double-bar graph that shows the number of phone calls received each day during the first week and the tenth week.

Be sure to

• title the graph

• label the axes

• provide an appropriate key for the graph

• provide a scale for the graph

• graph all the data

Q12 (7S7)

Dean recorded the number of people who visited his web site each day for a week.

He graphed the data in two different ways.

Which one of the two graphs is misleading?

Answer

On the lines below, explain why the graph you chose is misleading.

______

Q13 (7S8)

The population of Los Angeles, California, throughout the 20th century is shown in the table below.

POPULATION OF LOS ANGELES

Year / Population
(in millions)
1900 / 0.1
1920 / 0.6
1940 / 1.1
1960 / 1.8
1980 / 2.3
2000 / 2.8

Between which 2 years did the population increase the most?

Answer between and

Based on the data in the table, predict the population of Los Angeles in the year 2020. Justify your prediction on the lines below.

6

8