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Statistics Basics Introduction

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Statistics Basics Introduction

Anahera, Harrison and Hemi are planning a car wash fundraiser. Use the information on this worksheet to explore how statistics can help them make good decisions. Show your working where needed.

Collecting and describing data

The organisers asked 20 people which day they would be most likely to bring a car for washing. Their responses are shown in the table.

Day

Responses

Friday

5

Saturday

9

Sunday

6

1.What is the variable being investigated in the table, and what type of data is it: categorical or numerical?
2.The 20 people who answered are a sample. Who might the organisers want their sample to represent?
3.Which day received the most responses, and how many more people chose it than the day with the fewest responses?
4.How many people answered altogether? Explain how you worked it out.
5.Which graph would be most suitable for comparing the number of responses for each day: a bar graph, a line graph or a scatter plot? Give one reason.
6. Draw a bar graph for the responses in the table. Label the days and the number of responses. Give your graph a clear title.

A second data question

Hemi timed how many cars the team washed during four one-hour shifts: 6, 8, 5 and 9 cars.

6.Find the mean number of cars washed per shift. Show your calculation.
7.Find the range of the cars-washed data. What does the range tell the team?
8.Anahera suggests asking only her neighbours which day they prefer. Explain one reason this could produce a biased result, and suggest one way to improve the survey.
9.Write one clear statistical question the team could investigate before the fundraiser. It should be answerable by collecting data from several people or shifts.

3 printable pages

  • Statistics Basics Introduction, page 1 of 3: Collecting and describing data

    Page 1

  • Statistics Basics Introduction, page 2 of 3: A second data question

    Page 2

  • Statistics Basics Introduction, page 3 of 3: 9. Write one clear statistical question the team could investigate before the fundraiser.…

    Page 3

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