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8 4 The Cumulative Frequency Diagram Shows The Amount of Fuel, F Litres, Bought by 100 Customers at A

The document discusses a cumulative frequency diagram showing the amount of fuel in litres bought by 100 customers at a service station. It asks the reader to use the diagram to estimate the median amount of fuel bought, the interquartile range of fuel bought, and the fraction of customers who spent more than $91 on fuel. It also asks the reader to complete a partial frequency table for the amounts of fuel bought.

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Hassan Khan
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196 views2 pages

8 4 The Cumulative Frequency Diagram Shows The Amount of Fuel, F Litres, Bought by 100 Customers at A

The document discusses a cumulative frequency diagram showing the amount of fuel in litres bought by 100 customers at a service station. It asks the reader to use the diagram to estimate the median amount of fuel bought, the interquartile range of fuel bought, and the fraction of customers who spent more than $91 on fuel. It also asks the reader to complete a partial frequency table for the amounts of fuel bought.

Uploaded by

Hassan Khan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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4 The cumulative frequency diagram shows the amount of fuel, f litres, bought by 100 customers at a
service station one day.

100

90

80

70

60
Cumulative
50
frequency
40

30

20

10

0
10 20 30 40 50 60 70 80 f
Fuel (litres)

(a) Use the diagram to estimate

(i) the median

........................................ litres [1]

(ii) the interquartile range.

........................................ litres [2]

© UCLES 2023 4024/21/M/J/23


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(b) That day the price of a litre of fuel at the service station was $1.75 .

Use the diagram to find the fraction of customers who spent more than $91.00 on fuel.

................................................. [3]

(c) Complete the frequency table for the amount of fuel bought by these 100 customers.

Amount of fuel
( f litres) 10 1 f G 20 20 1 f G 30 30 1 f G 40 40 1 f G 50 50 1 f G 60 60 1 f G 70 70 1 f G 80

Frequency 14 38 20

[2]

© UCLES 2023 4024/21/M/J/23 [Turn over

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