Interpreting Data, SM-Bank 001

Luke picked bananas during his university holidays last summer. He counted the total number of bananas he picked everyday and created the graph shown below.

For how many days in total did Luke pick bananas? (1 mark)
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On how many days did he pick less than 145 bananas? (1 mark)
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Explain how this graph could be misleading. (2 marks)
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Show Answers Only

a. \(30\ \text{days}\)

b. \(17\ \text{days}\)

c. \(\text{See worked solution}\)

Show Worked Solution

a.	\(\text{Days}\)	\(=4+5+6+7+8\)
		\(=30\ \text{days}\)

b.	\(\text{Less than 145 bananas}\)	\(=4+5+8\)
		\(=17\ \text{days}\)

c. \(\text{The vertical axis starts at 135 and could give}\)

\(\text{the impress that the number of bananas picked}\)

\(\text{on 6 of the days was more than twice the number}\)

\(\text{picked on 4.}\)

\(\text{The actual difference being only}\)

\(= 152-139=15\ \text{bananas}\)