Lesson 5.1: Relating Census and Sample

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Extra Practice 1

Lesson 5.1: Relating Census and Sample

1. In each case, are the data collected from a census or a sample? Justify your answer.
a) To find the most common month in which Grade 8 students were born, 25 of the
60 Grade 8 students in a school were surveyed.
b) To determine which type of movie the family wanted to rent for the evening, all 6 family
members were asked.
c) To determine whether the Grade 8 class preferred playing soccer or baseball, each student in the class was surveyed.
d) To determine the number of Ontario families who enjoy skiing, one in 10 households were surveyed by telephone.
e) To determine if any eggs were broken in a shipment, every 5th package was opened.
f) To find out how many families in the neighbourhood wanted to participate in a BBQ night, every family in the neighbourhood received a survey in their mailbox.
2. For each survey, state if the sample is biased or reliable. Justify your answer.
a) To find out the percent of 14 to 17 year olds in the school who had part-time jobs, the student council posted a survey on the cafeteria bulletin board asking students to
respond.
b) To find out if families in the city wanted a new bicycle path to be built through the park, the city council conducted a telephone survey of all the families who lived within 1 km
of the park.
c) To find out if shoppers wanted more variety in the organic fruit and vegetable section of the grocery store, all store customers were surveyed at the check-out counter during a two-week period.
d) A radio talk show asked callers to phone in their opinion about whether the government
should increase funding for health care.
3. Identify each population about which data are to be collected.
a) The managers of a bank want to know which services clients use the most.
b) The student council wants to know which activities they should organize for winter carnival day.
c) The marketing department of a clothing chain is researching the favourite clothing items
worn by teenagers.
4. Is each type of data quantitative or qualitative?
a) hair colour b) a child’s mass from birth to 12 years of age
c) favourite food d) types of vehicles
e) the distance a car travels each day in a month
f) airplane seating capacity g) most popular movie of the year
h) the height of a maple tree from seed