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Data and Probability Basics

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Data and Probability Basics

A school stall is choosing snacks and games for a community afternoon. Use the data and probability clues on this page to make sensible decisions. Show your thinking where asked.

Snack survey

Twenty students chose their favourite stall snack.

Snack

Votes

Fruit cups

6

Popcorn

5

Sausage rolls

4

Lamingtons

3

Icy poles

2

1.Which snack was most popular, and how many more votes did it receive than icy poles?
2.What fraction of the students chose popcorn? Give your answer in simplest form.
3.The organiser will order enough snacks for the two most popular choices. Which two should be ordered, and how many votes do they have altogether?

Game spinner

A fair spinner has 8 equal sections: 3 blue, 2 yellow, 2 green and 1 red.

4.Which colour is most likely to be spun? Explain using the number of sections.
5.What is the probability of spinning red? Write it as a fraction and describe it as impossible, unlikely, even chance, likely or certain.
6.Is it possible to spin purple? What is the probability?

Data detective

Classify the information collected for planning the stall. Qualitative data describe a category; quantitative data are numbers or counts.

7.For each item, write qualitative or quantitative: favourite snack; number of votes; snack colour; number of snacks sold.
8.The stall records how many icy poles are sold each hour. Is this data discrete or continuous? Explain briefly.
9.A classmate says, “Because blue came up most often in the survey, blue is certain to be the next spinner result.” Explain why this conclusion is incorrect.
10.The organiser asks every student who visits the stall which snack they prefer. Name one way this data collection could be biased, and suggest a fairer approach.

3 printable pages

  • Data and Probability Basics, page 1 of 3: Snack survey

    Page 1

  • Data and Probability Basics, page 2 of 3: Game spinner, Data detective

    Page 2

  • Data and Probability Basics, page 3 of 3: 9. A classmate says, “Because blue came up most often in the survey, blue is certain to…

    Page 3

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