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Home > Mathematics > General Mathematics > Preliminary Course > Data Analysis > DA2: Data collection and sampling > Quick quiz: A sample of multiple choice questions for this topic.

DA2

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1. You are a NSW businessman, selling soccer balls designed to meet NSW Soccer Federation standards. You want a survey done for your business.

A suitable population from which to take a random sample would be:

The whole population of Australia.
 All NSW school children.
 All people enrolled in a NSW soccer team.

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2. Which of these situations would NOT be a likely valid reason for not taking a representative sample.

The population is so small you can survey them all.
 You can work out the data by just asking a few people you know.
 The population is large but the data you want is already available from the ABS.

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3. If you wanted to know a preferred brand of muelsi bar to stock in the school canteen, a suitable sample would be:

All year 11 students.
 A student from each grade picked at random.
 All students who used the canteen on the day you did the survey.

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4. Which of the following is an example of categorical data?
People’s opinions about TV shows.
 Shoe sizes.
 The length of long stemmed roses.

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5. A stratified sample is one where:
Each member of the group is given a number and the selection is made using a random number generator.
 Each member of the group is given a number to enable the group to be divided into smaller groups. One person is chosen from each of these smaller groups.
 The group is divided into smaller groups using some rule eg age. There is then a selection made from each group.

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6. The appropriate type of sampling for a school canteen wanting to know what stock to buy would be:

Random.
 Systematic.
 Stratified.

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7. At Bleak High School all students in years 7 – 9 are boys but in years 10 – 11 there is an equal number of girls and boys.

When surveying for the preferred sports day the sample should:

Have equal number of girls and boys.
 Have more boys than girls.
 Have more girls than boys.

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8. The ‘capture-recapture’ technique could be used for:
Estimating the number of koalas in the forest.
 Considering the crime rate for a suburb.
 Estimating the number of leaves that fell from a tree during autumn.

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9. Given the statement "nine out of ten cricketers play golf" you can deduce:

90% of people who play cricket also play golf.
 Of ten cricketers asked only one of them didn’t play golf.
 10% of all cricketers do not play golf.

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10. When designing a questionnaire you must consider many things. Pick the most important from these:

The size of the print for ease of reading.
 The language is easy enough to understand.
 If you want people to use a tick, cross or circle their responses.

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