Study Guide Chapter 10 Statistics

568116 - Mathematics

Study Guide Chapter 10 Statistics

1

The frequency distribution of a class of students according to hair colour is shown below.

Colour / Frequency
Blonde / 6
Chestnut / 5
Black / 12
Red / 2

Which of the following graphs does not represent this distribution?

A) / / C) /
B) / / D) /

2

Canada sent 300athletes to the Olympic games in Athens in 2004.

The table below shows the number of athletes in each category who went to Athens.

Canadian Olympic Team
Category / Number of Athletes / Part of the whole
Canadian Olympic Team / Angle measure
(Degrees)
Rowing / 30
Swimming / 75
Other
team sports / 90
Other
individual sports / 105
Total / 300

Complete the table and construct a circle graph to illustrate the given information.

Label each section of the graph appropriately. Show your work.

3

Sylvie asked 220students for their favourite types of music.

Her results are recorded on the vertical bar graph below.

Unfortunately, she forgot one bar.

a) Construct the frequency table that was used to draw the bar graph above and include the missing numerical information.

Favourite Types of Music

b) Complete the bar graph by filling in the missing bar.

4

The following list shows the math marks obtained by students in a Secondary I class :

56
60
65 / 85
68
60 / 74
57
59 / 62
89
95 / 61
93
73 / 65
80
81 / 72
74
72 / 68
78
89 / 86
82
64 / 94
84
62 / 62
68
81

Complete the frequency table on your answer sheet.

5

Your Geography teacher posted the following graph to show the class results in January.

From the graph, fill in the frequency table on your answer sheet.

6

The province of Quebec sent 100 participants to the Canadian Mathematics Competition. The ages of the participants vary from 12 to 19 years old.

Construct a frequency table to show the distribution of students according to age.

18
14
12
16
17
16
12
15
15
18 / 19
13
14
13
16
18
18
19
12
12 / 17
17
16
16
19
15
12
16
13
14 / 18
18
18
16
15
17
13
13
12
14 / 19
15
15
16
16
17
16
14
14
12 / 18
19
19
16
16
15
17
14
12
17 / 17
17
15
15
16
13
13
12
17
16 / 18
17
15
15
15
16
16
19
12
14 / 16
16
16
19
13
16
16
12
16
16

7

The ages of 30 Secondary I students are listed below. Using this data construct a frequency table.

12, 14, 12, 11, 13, 12,
12, 15, 13, 12, 13, 13,
13, 14, 12, 13, 12, 13,
13, 11, 13, 12, 12, 13,
12, 13, 13, 14, 12, 13.

8

The following is a list of the votes cast for Class President as they were read out by the scrutineer:

Paul
Janet
Paul
Janet
Henry / Janet
Lucy
Lucy
Henry
Janet / Henry
Paul
Henry
Janet
Paul / Henry
Paul
Lucy
Lucy
Janet / Lucy
Henry
Lucy
Henry
Lucy / Henry
Lucy
Janet
Paul
Lucy

Complete the frequency table on your answer sheet for the foregoing data.

9

The following votes were cast for the top sports personality of the year in Quebec:

Gaétan
Michel
Gaston
Gaston
Sylvie
Gaétan
Guy
Sylvie / Sylvie
Sylvie
Sylvie
Guy
Michel
Gaétan
Gaétan
Michel / Gaétan
Guy
Michel
Sylvie
Sylvie
Guy
Michel
Gaston / Michel
Sylvie
Guy
Gaétan
Sylvie
Gaétan
Sylvie
Michel

Complete the frequency table on your answer sheet for the foregoing data.

10

The list below represents the marks obtained on a French exam by the students in a Secondary I class.

95, 24, 78, 58, 89, 47, 36, 65, 69, 72, 42, 57, 68, 92, 64,
76, 75, 61, 58, 84, 31, 55, 67, 71, 78, 45, 68, 56, 91.

Using the foregoing data, complete the frequency table on your answer sheet.

11

Four days after the start of the Quebec Games at Baie-Comeau, many medals had already been awarded.

The following diagram shows the number of medals, by category, won by the 5 best-performing regions from the start of the games.

Number of medals by region

Using the data from the graph above, set up a table showing the total medals won by each region.

12

Daryl is treasurer of his school's student council. The diagram on the right shows the profits that accrued from all the "Disco" Nights they held this year.
Set up the data chart that Daryl used to construct this bar graph. /

13

You want to avoid eating too much sugar this coming winter.

The diagram below will help you eliminate excess sugar from your diet.

Sugar Content of

Several Food Products

List these food products in order from the least sweet to the sweetest.

14

Vincent spent 26hours watching television last week. His parent thought this was definitely too much. He claimed that his friends watched as much T.V. as he did.

Vincent asked his friends to keep track of the number of hours a day they each spent in front of the T.V. in a week.

Kristen / Dean / Andy
Days / Hours / Days / Hours / Days / Hours
M
T
W
T
F
S
S / 1 h 30 min
3 h 30 min
2 h 00 min
3 h 30 min
4 h 30 min
7 h 30 min
3 h 00 min / M
T
W
T
F
S
S / 3 h 00 min
3 h 00 min
3 h 00 min
3 h 00 min
5 h 00 min
4 h 30 min
6 h 00 min / M
T
W
T
F
S
S / 2 h 00 min
2 h 30 min
3 h 00 min
4 h 00 min
3 h 30 min
6 h 00 min
4 h 00 min
Tanya / Phil
Days / Hours / Days / Hours
M
T
W
T
F
S
S / 4 h 00 min
3 h 00 min
2 h 00 min
3 h 30 min
4 h 30 min
5 h 30 min
6 h 00 min / M
T
W
T
F
S
S / 2 h 30 min
3 h 30 min
4 h 30 min
3 h 30 min
4 h 30 min
5 h 30 min
5 h 00 min

Tabulate the data that Vincent is going to show his parents.

15

A flower-box manufacturer's sales are represented in the bar graph below.

Flower Box Sales

Set up a chart of the data he used to construct the foregoing graph.

16

The graph below shows how the student population is distributed among the various grades of a secondary school.

Set up the data table that was used to construct this graph.

17

Francois works in a bicycle store. The graph below shows the sales for the period from March to September. Fill in the data table that was used to construct this graph.

18

The students in Michael's class were polled to find out what their favorite sports were.

All of their answers are listed below :

Hockey
Hockey
Football
Hockey
Hockey
Football
Football / Hockey
Baseball
Hockey
Hockey
Hockey
Baseball
Soccer / Baseball
Football
Baseball
Hockey
Baseball
Football
Baseball / Soccer
Hockey
Hockey
Baseball
Hockey
Soccer
Football

Fill in the tally chart on your answer sheet.

19

The circle graph reveals the favorite sporting activities of 12 to 16 year-old students.

Favorite Sporting Activities of

12 to 16 Year-old Students

What percent of students prefer hockey?

20

This broken line graph shows the math class average for each of five terms.

What is the total number of terms for which the class average was above 60%?

21

Below are the total points for two NHL players over 6 seasons of hockey.

Season / Doug Gilmour / Steve Yzerman
1995 / 72 / 95
1996 / 82 / 85
1997 / 53 / 69
1998 / 56 / 74
1999 / 73 / 79
2000 / 38 / 52

Record the above data for each player in a broken-line graph.

Make sure to label your graph well.

22

This summer, Dave's family is taking a vacation in the Gaspé.

The table below shows the family budget for vacation expenses.

Gaspé Vacation Expenses

Expenses / Cost ($) / Portion of Expenses / Degrees
Hotels / 4 000
Gasoline / 1 500
Food / 3 000
Other / 1 500
Total / 10 000 / 360°

Complete the chart above, and on the circle below draw a circle graph to illustrate the given information. Label the graph.

23

The graph below shows the number of shark attacks over a 10-year period.

Which of the following statements is TRUE?

A) / There were twice as many shark attacks in the year 2001 as there were in the year 1997.
B) / There were fewer shark attacks in the year 1997 than in the year 1992.
C) / The biggest drop in shark attacks happened between the years 1995 and 1996.
D) / The number of shark attacks decreased between the years 1998 and 2000.

24

A total of 298hockey fans were surveyed to find out which was their favourite NHL hockey team. The results are recorded in the table below, but one number is missing.

Male Fans / Female Fans
Montreal / 98
Toronto / 57 / 24

What is the difference between the number of male and female fans who picked Montreal?

A) / 21 / C) / 74
B) / 62 / D) / 119

25

Céline surveyed her Secondary 1 classmates to determine their favourite types of movies.

Here are the results.

Survey Results of Favourite Types of Movies of Céline’s Secondary 1 Class
Type / Frequency / Angle Measure
(Degrees)
Comedy / 6
Drama / 4
Horror / 6
Sci. Fi. / 8
Total / 24

Complete the table above and then construct a circle graph to illustrate this data. Label your graph.

26

The bar graph below shows the number of pets owned by students in a Secondary 1 class.

Construct the frequency table that was used to draw the bar graph above.

Pets Owned by Students in a
Secondary 1 Class

27

Joe's scores on four tests are shown on the graph below.

On which test did he score 80?

A) / Test A / C) / Test C
B) / Test B / D) / Test D

28

The table below gives the final medal counts of five countries that took part in the Sydney Olympics.

Country / Number of Medals
United States / 97
Russia / 88
Britain / 58
Canada / 14
South Africa / 5

Draw a bar graph to illustrate this data. Label the axes.

29

A class conducted a school survey about the type of shows students watch on television.

The list below indicates the students' choices.

S ® Sports A ® Action

C ® Comedies N ® News

C / C / N / A / A / S / C / S / C / S / N / A / S / S / C
C / A / C / A / C / S / A / N / N / S / C / S / N / A / C
A / C / N / C / C / C / A / S / C / S / A / C / C / N / N

Using this data, complete the tally and frequency table below.

30

In a survey, students in SecondaryI were asked to name one favourite activity.

The results are shown in the circle graph below.

According to this circle graph, which of the following statements is FALSE?

A) / Both sports and the Internet were chosen by the same number of students.
B) / More students like television than dancing.
C) / The three activities that students like the most are video games, the Internet, and sports.
D) / Dancing, television, and the Internet were chosen by half of the students.

31

A study of 300 Grade 7 students was made to determine their favourite foods. The results of the study are represented in the table below.

Favourite Food / Number of
Students / Percent (%)
of Total / Angle Measure
(in degrees)
Pizza / 180 / 60
Hamburger / 75 / 25
Submarine / 15 / 5
Other / 30 / 10
Total / 300 / 100

Draw a circle graph for the data above.

Grade 7 Students' Favourite Foods

32

Construct a circle graph using the information in the bar graph below.

33

High school students were surveyed about their favourite sport.

The results of the survey are given in the table below.

Favourite Sports of High School Students
Sports / Number of students
Soccer / 180
Hockey / 150
Basketball / 60
Football / 30

Draw a bar graph to illustrate the survey results.

34

St-Félix zoo has 50animal species divided by type and sub-group.

The Animals at St-Félix Zoo
Type / Sub-group / Number of
Species
Aquatic / Fresh water / 11
Salt water / 9
Land / Wild / 12
Domestic / 6
Flying / Migratory / 5
Non-migratory / 7

What percent of the animal species are land animals?

A) / 9% / C) / 24%
B) / 18% / D) / 36%

35

The following graph shows how Maryse spends her day doing different activities.

According to the graph, which one of the following statements is FALSE?

A) / Maryse spends twice as much time resting as she does socializing.
B) / Maryse spends more time working than she does in doing any one of the other activities.
C) / Maryse spends 75% of her time doing activities other than work.
D) / Maryse spends as much time travelling as she does resting.

Answer Booklet