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Analysing Measurement Data

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Analysing Measurement Data

A group tested how long a refill station took to fill a 750 mL bottle. Times are in seconds. Use the data displays to investigate typical values, spread, unusual results and how trustworthy the conclusions are. Show working where helpful.

Read the data critically

Use Display A for Questions 1–5.

1.Calculate the mean fill time for the ten trials. Give your answer in seconds to one decimal place.

2.Find the median and range of the fill times. Include the units.

3.Which is a more useful typical fill time for this set: the mean or the median? Choose one and explain how the 82-second result affects your choice.

4.The 82-second trial is much larger than the other results. Give two plausible reasons for it, and say what you would check before deciding whether to exclude it.

5.A student says, “The refill station usually takes about 45 seconds.” Assess this claim using the mean and median, and suggest a more informative way to report the result.

Volume (mL)

Time (s)

250

500

750

1000

1250

Relationships and reliability

Use Display B for Questions 6–9.

6.Describe the relationship between refill volume and fill time in Display B. Use evidence from the values.

7.Estimate the time needed to refill 900 mL. Explain how you used Display B and give a reasonable estimate in seconds.

8.Would it be sensible to use the same trend to predict the time for 3000 mL? Explain one reason for your answer.

9.The times in Display B come from only one trial at each volume. Identify two changes to the investigation that would make its conclusions more reliable.