1. The worksheet is provided in a variety of sizes/formats.
Box Plots – Worksheet A
The worksheet is provided in a variety of sizes/formats.

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3. The table below shows data for the salaries of 100 men and 100 women.
Box Plots
Adults 3.
The table below shows data for the salaries of
100 men and 100 women.
a) Complete box plots to show this data.
b) Comment on the difference between men’s and women’s salaries.
Children 40 50 60 70 80
Lowest Salary
Lower
Quartile
Median
Upper
Highest Salary
Men
£6000
£14,500
£21,000
£23,000
£43,000
Women
£5500
£13,000
£19,000
£22,500
£32,000 1.
Distance (m)
In an experiment, 50 children and 50 adults were given 10 seconds to run as far as possible. The results for the children are shown above.
The slowest adult went 42 m, the fastest went 88 m. The adults’ median was the same as the children. The lower quartile was 54 m and the upper quartile was 74 m.
a) Complete a box plot to show the adults’ results.
b) Which group had the furthest and shortest distances?
c) Which group had the smallest range?
Class A
5,000
10,000
15,000
20,000
25,000
30,000
35,000
40,000
Salary (£)
Class B 4.
The table below shows the monthly income for 100 individuals.
Draw a cumulative frequency graph for this data.
Use your graph to estimate the median, as well as Q1 and Q2.
The lowest income was £1250, the highest income was 1750.
Complete a box plot to show this data.
Answers 70 80 90
100
110 2.
Distance (m)
Two classes took the same physics assessment.
Class A scored a median of 90, a lower-quartile of 80 and an interquartile range of 22. The highest score was 108 and the range was 42.
a) Complete a box plot for Class A. Which class was more consistent?
Income
Frequency 8 22 32 19 14 5

4. Box Plots
Answers
Adults
b) Men have a higher range of salaries and a higher median. Although both sexes have a similar interquartile range, the data indicates men are paid better than women. 3.
The table below shows data for the salaries of
100 men and 100 women.
a) Complete box plots to show this data.
b) Comment on the difference between men’s and women’s salaries.
Children 40 50 60 70 80
Lowest Salary
Lower
Quartile
Median
Upper
Highest Salary
Men
£6000
£14,500
£21,000
£23,000
£43,000
Women
£5500
£13,000
£19,000
£22,500
£32,000 1.
Distance (m)
In an experiment, 50 children and 50 adults were given 10 seconds to run as far as possible. The results for the children are shown above.
The slowest adult went 42 m, the fastest went 88 m. The adults’ median was the same as the children. The lower quartile was 54 m and the upper quartile was 74 m.
a) Complete a box plot to show the adults’ results.
b) Which group had the furthest and shortest distances?
c) Which group had the smallest range?
Men
b) Adults were both fastest and slowest.
c) Children had a smaller range of distances.
Women
Class A
5,000
10,000
15,000
20,000
25,000
30,000
35,000
40,000
Salary (£)
Class B 4.
The table below shows the monthly income for 100 individuals.
Draw a cumulative frequency graph for this data.
Use your graph to estimate the median, as well as Q1 and Q2.
The lowest income was £1250, the highest income was 1750.
Complete a box plot to show this data.
Answers 70 80 90
100
110 2.
Distance (m)
a) Class A had a wider range and the lowest score. Class B had the highest score, a smaller interquartile range and a higher median.
Class B scored higher and were also more consistent.
Two classes took the same physics assessment.
Class A scored a median of 90, a lower-quartile of 80 and an interquartile range of 22. The highest score was 108 and the range was 42.
a) Complete a box plot for Class A. Which class was more consistent?
Income
Frequency 8 22 32 19 14 5

5. Answers x x x x x x Median Estimate = £1460 Q1 Estimate = £1380
100 x x 4.
The table below shows the monthly income for 100 individuals.
Draw a cumulative frequency graph for this data.
Use your graph to estimate the median, as well as Q1 and Q2.
The lowest income was £1250, the highest income was 1750.
Complete a box plot to show this data. x 80 x 60
Income
Frequency 8 22 32 19 14 5 40 x 20 x
1200
1400
1600
1800
Median Estimate = £1460
Q1 Estimate = £1380
Q3 Estimate = £1560
Income (£)
1200
1300
1400
1500
1600
1700
1800
Answers
Income (£)

6. The table below shows data for the salaries of 100 men and 100 women.
Box Plots
Adults 3.
The table below shows data for the salaries of
100 men and 100 women.
a) Complete box plots to show this data.
b) Comment on the difference between men’s and women’s salaries.
Children 40 50 60 70 80
Lowest Salary
Lower
Quartile
Median
Upper
Highest Salary
Men
£6000
£14,500
£21,000
£23,000
£43,000
Women
£5500
£13,000
£19,000
£22,500
£32,000 1.
Distance (m)
In an experiment, 50 children and 50 adults were given 10 seconds to run as far as possible. The results for the children are shown above.
The slowest adult went 42 m, the fastest went 88 m. The adults’ median was the same as the children. The lower quartile was 54 m and the upper quartile was 74 m.
a) Complete a box plot to show the adults’ results.
b) Which group had the furthest and shortest distances?
c) Which group had the smallest range?
Class A
5,000
10,000
15,000
20,000
25,000
30,000
35,000
40,000
Salary (£)
Class B 4.
The table below shows the monthly income for 100 individuals.
Draw a cumulative frequency graph for this data.
Use your graph to estimate the median, as well as Q1 and Q2.
The lowest income was £1250, the highest income was 1750.
Complete a box plot to show this data.
Answers 70 80 90
100
110 2.
Distance (m)
Two classes took the same physics assessment.
Class A scored a median of 90, a lower-quartile of 80 and an interquartile range of 22. The highest score was 108 and the range was 42.
a) Complete a box plot for Class A. Which class was more consistent?
Income
Frequency 8 22 32 19 14 5

8. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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