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Cumulative Frequency
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Questions 1 to 7. The table below shows the weights (mass) of 280 students.
1. Write down the frequency of the final row (85-90).
1 point
10
90
280
270
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2. How many people weigh between 75 and 80 kg (including 80kg)?
1 point
44
250
54
196
Clear selection
The following shows a cumulative frequency curve for the data.
3. Which of the following is NOT plotted on the cumulative frequency curve?
1 point
(70,75)
(82.5,260)
(85,270)
(65,20)
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4. Use the cumulative frequency curve to find an estimate of the median.
1 point
73
140
50
62
Clear selection
5. Use the cumulative frequency curve to find an estimate of the inter-quartile range.
1 point
7
140
17
50
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6. Use the cumulative frequency curve to estimate the number of students who are over-weight, if over-weight is classed as exceeding 82kg.
1 point
140
10
60
20
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7. Use the cumulative frequency curve to estimate the percentage of students who weigh less than 69kg.
1 point
21%
7%
93%
79%
Clear selection
Questions 8 to 13. A university surveyed 60 mathematics graduates on their starting salary.The cumulative frequency graph shows some information about the salaries.
8. Use the cumulative frequency curve to estimate the median starting salary of the graduates.
1 point
20000
30
30000
40000
Clear selection
9. Use the cumulative frequency curve to estimate the inter-quartile range starting salary of the graduates.
1 point
35000
50%
20000
10000
Clear selection
10. Use the cumulative frequency curve to estimate the range starting salary of the graduates.
1 point
0
30000
20000
50000
Clear selection
11. Use the cumulative frequency curve to estimate the number of graduates who earn more than 40,000.
1 point
6
44
16
54
Clear selection
12. 66% of the graduates earn move than x. Estimate the value of x from your cumulative frequency curve.
1 point
26000
16000
36000
46000
Clear selection
13. Use your cumulative frequency curve to find the percentage of graduates who earn more than 32,000.
1 point
42%
58%
27%
73%
Clear selection
Questions 14 and 15 The cumulative frequency curve below shows heights of trees.
14. Find the median height of the trees.
1 point
0.62 m
75 m
0.675 m
0.5 m
Clear selection
15. 30% of the trees have a greater height than x. Find the value of x.
1 point
0.62 m
105 m
0.72 m
0.66 m
Clear selection
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