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Leaf Length Statistics Activity
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Leaf Length Statistics Activity
A supermarket is preparing a display about leaves found in Aotearoa. Tui and Losa measured 10 fallen leaves, from tip to stem, to the nearest centimetre. Use their results to investigate the data. You do not need to collect leaves.
Tui and Losa’s measurements
Here are the 10 leaf lengths, in centimetres.
4
5
5
6
6
7
7
8
9
13
1.Put the 10 measurements in order from shortest to longest. Write them with commas.
2.What is the range of the leaf lengths? Show the subtraction you used.
3.Which length or lengths are the mode(s)? How many times does each occur?
4.There are 10 measurements. Find the median by averaging the 5th and 6th values in the ordered list. Show your calculation.
5.Calculate the mean leaf length. Add the measurements, then divide by 10. Show your working.
6.Which measure best represents a typical leaf length in this set: mean, median, or mode? Choose one and explain your choice.
7.Suppose Losa discovers another leaf measuring 30 cm. Which statistic would change most: the mean, median, or mode? Explain.
8.A display label says, “Most leaves are between 4 cm and 13 cm long.” Is this statement accurate for these measurements? Explain using the data.
9.The supermarket measures one more leaf: 7 cm. What is the new mode?
10.The measurements are recorded to the nearest centimetre. Give one reason this might make two slightly different leaf lengths appear identical in the data.
2 printable pages
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