Name / Date

Extra Practice 1

Section 5.1: Collecting Data
1. Are primary data or secondary data collected in each situation? How do you know?
a) Ben used a telephone book to find his friend’s phone number.
b) Toni asked a friend for her e-mail address.
c) Claire found the population of each province in an atlas.
d) Mr. Morris recorded his students’ math test scores.
2. Comment on each survey question. If it is biased, write an unbiased question.
a) Football players sometimes get injured. Do you think football is a dangerous sport?
Yes ____ No ____
b) White cars get dirty very quickly. Which car colour do you prefer?
Black ___ White ___ Blue ___ Red ___ Other ___
3. a) Predict your classmates’ favourite pet.
b) Write a survey question you could ask to find out.
Explain how you know your question is unbiased.
c) Conduct the survey. Tally the results.
d) How did your prediction compare with your results?

Extra Practice 2

Section 5.2: Recording Data
1. The table shows the favourite Canadian football teams of some Grade 7 students at
Mother Teresa Junior High School in Ottawa.
Favourite Canadian Football Team
Football Team / Tally / Frequency
Hamilton Tiger-Cats / //// ///
Calgary Stampeders / //// /
B.C. Lions / //// ////
Winnipeg Blue Bombers / //// //// /
Edmonton Eskimos / //// ////
Saskatchewan Roughriders / ////
Montreal Alouettes / //
Ottawa Renegades / //// //// //// //
Toronto Argonauts / //// //
a) Complete the frequency column.
b) How many students were surveyed? How do you know?
c) Which team is the most popular? The least popular?
Give some possible reasons for these results.
d) Graph your data. Justify your choice of graph.
e) Write a question you could answer using the graph or frequency table. Answer the question.

Extra Practice 3

Section 5.3: Stem-and-Leaf Plots
1. / Daily Price, in Cents, of One Litre of Gas Over a Two-Month Period / a) What does the stem-and-leaf plot show?
b) What is the lowest price?
The highest price?
c) What is the range of the
prices?
d) What is the median price? The mode price?
Stem / Leaf
56. / 6 7 9
58. / 2 4 5 5 6 7
62. / 0 3 4 4 5 8 9
65. / 0 1 3 3 5 6 7 9
67. / 3 4 5 6 6 7 8 9
70. / 0 3 4 6 7 7 8
73. / 2 2 2 4 5 7 8 8
75. / 1 3 4 4 4 6 7 8 9 9
76. / 1 1 8 8
2. Angie recorded the masses, in kilograms, of fish caught on a fishing trip.
2.3, 5.0, 2.7, 0.9, 3.1, 3.8, 5.1, 4.4, 2.6, 3.2, 1.8, 2.5, 0.7, 1.2, 3.3, 1.5, 3.7, 0.8, 2.3, 3.9,
4.3, 4.7, 2.2, 3.9, 4.0, 2.1, 3.0, 1.1, 0.6, 3.9, 2.0, 4.7, 5.1, 4.6, 5.0, 3.4, 2.9, 4.1, 4.2, 3.5
a) Display the data in a stem-and-leaf plot.
b) How many fish were caught?
c) What is the greatest mass? The least mass?
d) What is the range of the masses? The median mass? The mode mass?

Extra Practice 4

Section 5.4: Line Graphs
1. Source: Statistics Canada
The data in the table have been rounded to the nearest whole number.
Percent of Households With At Least One Regular Internet User
Year / Newfoundland/ Labrador / British Columbia
1998 / 29 / 42
1999 / 35 / 48
2000 / 46 / 56
2001 / 50 / 65
2002 / 51 / 66
a) What does this table show?
b) Draw a line graph for each province on the same grid.
c) Describe the trends for the two provinces. How do the line graphs illustrate the trends?
d) How are the graphs similar? How are they different?
e) Predict the percent of households with at least one regular Internet user for each province in 2005. Explain your prediction.

Extra Practice 5

Section 5.5: Applications of Mean, Median, and Mode
1. Here are a student’s practice times, in seconds, for the 200-m backstroke:
215, 211, 222, 215, 212, 211, 218, 215, 220, 218, 216
a) Find the mean, median, and mode of these data.
b) Of the mean, median, and mode, which do you think best describes the race time? Explain.
c) What is the range of these data?
d) What time must the student get in the 12th practice so that the mean time is 215 s?
Is this possible? Explain.
2. A quality control inspector randomly selects boxes of cereal from the production line.
She measures their masses. On one day she selects 40 boxes. The inspector records these data:
11 boxes: 415 g, 4 boxes: 418 g, 8 boxes: 420 g, 10 boxes: 422 g, 7 boxes: 430 g
a) Write an expression that can be used to calculate the mean mass.
b) Find the mean, median, and mode mass.
c) For the shipment of cereal to be acceptable, the mean mass must be at least 420 g.
Is this shipment acceptable? Explain.
d) Suppose she selects 5 more boxes, each with the same mass. The mean mass of the
45 boxes is now 419.6 g. What is the mass of each of the 5 new boxes?

Extra Practice 6

Section 5.6: Evaluating Data Analysis
1. Draw a graph to display the data in each way:
Northern City Snow Removal Budget
Year / Amount ($)
1997 / 510 000
1998 / 515 000
1999 / 518 000
2000 / 521 000
2001 / 525 000
2002 / 530 000
2003 / 533 000
2004 / 535 000
a) Northern City Council wants to show it has substantially increased the snow removal budget. Explain how your graph shows this.
b) Northern City Taxpayers want to show the snow removal budget has hardly changed.
Explain how your graph shows this.
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Bottom of Form

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