**Chapter 2 Review**

**2.1 Hypotheses and Sources of Data, **
pages 42⫺47

**1.** State a hypothesis about a relationship
between each pair of variables. Then, state
the opposite hypothesis.

**a)** the temperature in a town during the
summer and the volume of water used by
the town’s residents

**b)** a person’s height and marks in mathematics
**2.** State whether each data source is primary or
secondary. Then, discuss whether the source
is a good choice.

**a)** To determine the number of each size of
school uniform to buy, a principal
surveyed 200 of the school’s students by
telephone.

**b)** To check trends in house prices across
Canada, a real-estate agent found a
database on the Internet.

**c)** To find data on the sizes of bears in
British Columbia, a student used an
encyclopedia.

**d)** To choose music for a school dance, the
dance committee checked a list of the
top-selling CDs in Canada in a music
magazine.

**2.2 Sampling Principles, pages 48**⫺55

**3.** You want to survey students’ opinions about
the extracurricular activities at your school.

**a)** Identify the population.

**b)** Describe how you could use a stratified
random sample for your survey.

**4.** An airline wants to determine how its
passengers feel about paying extra for
in-flight meals.

**a)** Identify the population.

**b)** Describe how the airline could use a
systematic random sample for its survey.

**5.** Identify the population in each situation
and describe the sampling technique you
would use.

**a)** A department store wishes to know how
far away its customers live.

**b)** The Ontario government wants to find
out the incomes of people who camp in
provincial parks.

**c)** Your school librarian needs to find out
how to improve lunchtime services for
students.

**2.3 Use Scatter Plots to Analyse Data, **
pages 56⫺67

**6.** This table shows the heights and shoe sizes
of ten grade-9 boys.

**a)** Make a scatter plot of the data.

**b)** Describe the relationship between a
student’s height and shoe size.

**c)** Identify any outliers. Should you discard
the outliers? Explain.

Height (cm) Shoe Size

157 7

**7.** This table shows the
length of ten ferries and
the number of cars each
one can carry.

**a)** Make a scatter plot of
the data.

**b)** Describe the

relationship between the length of a ferry and its capacity.

**c)** Identify any outliers.

What could cause these outliers?

**2.4 Trends, Interpolation, and Extrapolation, **
pages 68⫺76

**8.** This table shows the
population of Canada
from 1861 to 2001.

**a)** Make a scatter plot of
the data.

**b)** Describe the trend in
the population.

**9.** This table lists the winning heights in the
high jump for men and women at the
Olympics from 1928 to 2004.

**a)** Graph the data. Use one colour for the
men’s data and another for the women’s
data.

**b)** Compare the trends in the men’s and
women’s results.

**c)** Identify any outliers.

**d)** Predict the winning heights in the men’s
and women’s high jump at the 2012
Olympics. Explain your reasoning.

Year Men (m) Women (m)

Winning Heights in Olympic High Jump Length

Time (days) Height (cm)
**2.5 Linear and Non-Linear Relations,**

pages 77⫺87

**10.** Graph each set of points on a grid. Then,
draw a line of best fit. Is a line of best fit a
good model for each set of data? Explain.

**a)** **b)**

**11.** Two ships are travelling
on parallel courses that
are 10 km apart. This
table shows the distance
between the two ships
over a 12-h period.

**a)** Make a scatter plot of
the data.

**b)** Describe the

relationship and draw a line of best fit.

**c)** Identify any outliers.

**d)** Estimate when the
ships will be closest to
each other.

**2.6 Distance-Time Graphs, pages 88**⫺94
**12.** Describe a situation that corresponds to

each distance-time graph.

**a)**

**b)**

**c)**

**13.** Draw a distance-time graph to represent
each situation.

**a)** A worker with a wheelbarrow filled with
bricks starts at a point 50 m from the
entrance to a construction site. The
worker pushes the wheelbarrow away
from the entrance at a speed of 1 m/s for
10 s, stops for 5 s to unload, and then
moves back toward the entrance at a
speed of 2 m/s for 20 s.

**b)** A stone dropped from a height of 10 m
steadily increases in speed until it hits
the ground after about 1.4 s.

*d*

Time

*For questions 1 to 4, select the best answer.*

**1.** Which of the following is a primary data
source?

**A** finding a list of the year’s top-grossing
films in the newspaper

**B** having 20 of your friends ask their family
members for their favourite colour
**C** getting information on the world’s

longest rivers from an atlas

**D** using the Internet to find the results of
the latest Paralympic Games

**2.** Which of the following is not an example of
random sampling?

**A** using a random-number generator to
select 10% of the players in each
division of a provincial soccer league
**B** selecting every 10th person on a list,

beginning with the name corresponding to a randomly generated number between 1 and 10, inclusive

**C** standing on a street corner and asking
every 10th person who goes by for their
opinions

**D** writing names on slips of paper and
picking 10% of the slips out of a box
after shaking the box thoroughly
**3.** Estimating values beyond the known data

for a relation is
**A** extrapolation
**B** interpolation
**C** a line of best fit
**D** discarding outliers

**4.** The final step in an experiment is the
**A** procedure

**B** conclusion
**C** evaluation
**D** hypothesis

**Short Response**

*Show all steps to your solutions.*

**5.** Write the opposite of each hypothesis.

**a)** Caffeine can affect your sleep.

**b)** The more you study, the worse you do on
tests.

**c)** At least half of the students in your
school have a part-time job.

**d)** Cell phone use has more than doubled in
the past 2 years.

**6.** A school board wishes to survey a
representative sample of its teachers.

**a)** Identify the population.

**b)** Describe a suitable stratified random
sample for this survey.

**c)** Describe a suitable systematic random
sample.

**d)** Give an example of a non-random
sample.

**e)** Explain why the non-random sample
might not be representative of the
population.

**7.** Make a scatter plot of each set of data. Draw
a line or curve of best fit. State whether each
scatter plot shows a linear or non-linear
relationship. Justify your answer.

**a)** **b)**