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Data Analysis and Trends

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Data Analysis and Trends

A local group recorded the number of rubbish bags collected during six monthly clean-ups. Use the data table and the questions to describe patterns, compare values and make evidence-based conclusions. Show working for calculations.

Month

Bags collected

January

February

March

April

May

June

1.Which month had the greatest number of bags collected?

January
April
May
June

2.How many more bags were collected in May than in January? Write the subtraction you used.

3.From January to May, did the number of bags collected generally increase or decrease? Use two data values to support your answer.

4.A volunteer says, “The number increased every month.” Is this claim accurate? Explain using the table.

5.Calculate the mean number of bags collected across all six months. Give your answer to 1 decimal place.

6.Which is a better description of a typical monthly collection: the mean or the median? Find both and briefly explain your choice.

A second set of results

The group also asked 20 volunteers which clean-up task they preferred. Each person chose one task.

Task

Volunteers

Collecting litter

Sorting recycling

Planting dune grass

Recording results

7.What fraction of the 20 volunteers preferred sorting recycling? Simplify the fraction.

8.Write one reasonable inference about the volunteers’ preferences, using evidence from the task-preference table. Do not claim that the results prove why people chose a task.