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Drawing Data Conclusions

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Drawing Data Conclusions

Read each data display carefully. Draw conclusions that answer the investigation question, use evidence from the data, and avoid claiming more than the data can show.

The lunchtime fruit survey

A group asked 30 students which fruit they would most like in their lunchbox. Their results are shown below.

Fruit

Number of students

Apples

Mandarins

Bananas

Pears

1.In the lunchbox fruit survey, which fruit was chosen most often? Use the number of students as evidence.

2.Choose the conclusion best supported by the lunchbox fruit survey of 30 students.

Apples were the most popular choice among the students surveyed.
All students in New Zealand prefer apples.
Apples are healthier than every other fruit.
Students who chose pears do not like bananas.

3.The group expected bananas to be the most popular fruit. The results show that 6 students chose bananas and 11 chose apples. Write one sentence explaining how the results compare with the prediction.

4.The survey asked 30 students, but the school has 400 students. What is one reason to be cautious about claiming that apples are the favourite fruit of the whole school?

How long does it take to get to the park?

A walking group recorded how many minutes it took five children to walk to a local park. The children started from different places.

Child

Walking time (minutes)

Talia

Arjun

Hana

Wiremu

Mila

5.The walking group wants to describe a typical time to walk to the park. Four of the five times are between 8 and 12 minutes, while one is 19 minutes. What is a sensible conclusion about the usual walking time?

6.Mila’s walk took 19 minutes, the longest time. Give one possible reason for her longer time that the data do not tell us.

7.True or false: Because Mila’s walk took 19 minutes, every child in the group usually takes about 19 minutes to reach the park. Explain your answer using the recorded times.

8.Write a short conclusion answering this question: “How long did it take this walking group to reach the park?” Include a specific piece of evidence and one limit of what can be concluded.