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Exploring Data Together

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Exploring Data Together

A group is using survey data to plan activities for a school lunchtime. Read each data display carefully, then solve the questions. Show working where needed.

Sort and summarise

The students asked 12 classmates how they most like to spend lunchtime. Each person chose one activity.

Activity

Tally

Frequency

Reading

||||

Kicking a ball

|||

Drawing

Talking with friends

|||

1.Check the survey table. How many classmates answered altogether? Explain how you know.

2.Which activity was chosen most often? How many students chose it?

3.How many more students chose reading than drawing?

4.What fraction of the students chose kicking a ball? Write your answer in simplest form.

Compare a second set of data

A different group asked 20 students which fruit they would choose for a shared afternoon snack. The results are shown below.

Fruit

Apples

Mandarins

Pears

Number of votes

5.A helper says, “More than half the students chose apples.” Is the helper correct? Use the data to justify your answer.

TrueFalse

6.How many votes would mandarins need to gain to tie with apples?

7.The groups combine their survey results. How many students are represented altogether?

Make a fair survey

Now plan how you could collect useful data to help choose a lunchtime activity.

8.Which question would give the clearest data about students’ favourite lunchtime activity?

What do you like doing?
Which one activity do you most enjoy at lunchtime: reading, ball games, drawing, or talking with friends?
Do you think lunchtime is good?

9.Suggest one way to make sure the survey results represent a range of students, rather than just one group of friends.

10.Explain one useful conclusion the students can draw from the lunchtime survey, and one thing the data cannot tell them.