Scatter Graphs & Correlation (Edexcel GCSE Maths: Foundation)

Exam Questions

1 hour15 questions
1a
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1 mark

Ten athletes compete in both the 100 metre race and the triple jump.
Their results are shown in the scatter diagram.

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One of these athletes jumps 15.12m in the triple jump.
Write down his time for the 100 metre race.

.................................................. s 

1b
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1 mark

The values for two other athletes are shown in the table.

Distance in the
triple jump (m)
14.74 15.2
Time for 100m
(seconds)
13.2 12.76

On the scatter diagram, plot these points.

1c
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1 mark

On the scatter diagram, draw a line of best fit.

1d
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1 mark

What type of correlation is shown in the scatter diagram?

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2a
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1 mark

Write down the type of correlation you would expect for the following.

The average speed of a train and the time taken for a journey.

2b
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1 mark

The distance travelled by a car and the amount of fuel used.

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3
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1 mark

“We eat more ice cream as the temperature rises.”

What type of correlation is this?

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4a
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1 mark

A teacher gives her Spanish students a test each week.
Some of the students’ marks for two weeks are shown in the scatter diagram.

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Leo scored 28 marks in week 1 and 30 marks in week 2.

On the scatter diagram, plot a point to show Leo’s marks.

[1]

4b
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1 mark

On the scatter diagram, draw a line of best fit.

[1]

4c
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1 mark

Sonia scored 20 marks in week 1 but was absent in week 2.

Use your line of best fit to estimate a mark for Sonia in week 2.

[1]

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5a
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1 mark

The scatter diagram shows the number of people and the number of phones in each of 8 buildings.

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One of the buildings contains 42 people.
 
Write down the number of phones in this building.

5b
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1 mark

What type of correlation is shown in the scatter diagram?

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1a
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3 marks

The table shows the maximum power, kW, and the time taken, in seconds, to accelerate from 0 to 100 km/h for each of 10 cars.

Maximum
power (kW)
77 52 103 55 44 51 85 135 90 110
Time
(seconds)
12.5 14.9 9.0 12.1 14.4 12.9 10.0 7.1 11.0 9.4

i)
Find the range of the times.
........................................... s [1]
ii)
Find the median maximum power.
........................................... kW [2]
1b
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5 marks
i)
Complete the scatter diagram.
The first eight points have been plotted for you.
qp5bi-0580-33-paper-3-nov-2020-cie-igcse-maths
[1]
ii)
What type of correlation is shown on the scatter diagram?
[1]
iii)
Describe the relationship between the maximum power of a car and the time taken to accelerate from 0 to 100km/h.
[1]
iv)
Draw a line of best fit on the scatter diagram.
v)
Another car has a maximum power of 63kW.

Use your line of best fit to estimate the time taken for this car to accelerate from 0 to 100km/h.
............................................... s [1]

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2a
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1 mark

Mrs Salaman gives her class two mathematics tests.
The scatter diagram shows information about the marks each student scored.

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Write down the highest mark scored on test 1.

2b
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1 mark

Write down the type of correlation shown in the scatter diagram.

2c
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1 mark

Draw a line of best fit on the scatter diagram.

2d
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1 mark

Hamish scored a mark of 40 on test 1.
He was absent for test 2.

Use your line of best fit to find an estimate for his mark on test 2.

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3a
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2 marks

Belle records the height, in centimetres, and the mass, in kilograms, of some goats.
Some of her results are shown in the scatter diagram.

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The table shows four more results.

Height (cm) 23 30 36 38
Mass (kg) 31.2 33.5 34.6 34.8

Plot these points on the scatter diagram.

3b
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1 mark

What type of correlation is shown in this scatter diagram?

3c
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2 marks
i)
Draw a line of best fit on the scatter diagram.
[1]
ii)
Use your line of best fit to estimate the height of a goat with mass 32.5kg.
[1]
3d
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3 marks
Work out the percentage of the 12 goats that have a height between 26cm and 35cm.

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4
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6 marks

Ten students eat cereal with milk for breakfast.
The amounts are shown in the table.

Cereal (g) 40 20 58 70 60 35 28 40 55 46
Milk (ml) 190 85 240 305 320 180 150 230 340 220

qp6a-0580-33-paper-3-may-2020-cie-igcse-maths

i)
Complete the scatter diagram.
The first six points have been plotted for you.
[2]
ii)

For these students, describe the relationship between the amount of cereal and the amount of milk.

[1]

iii)
On the grid, draw a line of best fit.
[1]
iv)
Another student has 280ml of milk with her cereal.

Use your line of best fit to estimate an amount of cereal this student has.
.............................................. g [1]
v)
Explain why this scatter diagram should not be used to estimate the amount of milk for a student who has more than 70g of cereal.
[1]

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5
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2 marks

The scatter diagram shows the age and value of each of ten cars, all of the same model.

qp12-0580-12-paper-1-oct-nov-2019-cie-igcse-maths

By drawing a line of best fit, estimate the value of a car that is 6 years old.

$ ................................................... 

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1a
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2 marks

Aisha records the distance she runs and her average speed.
The results are shown in the scatter diagram.

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The table shows the results of four more runs.

Distance (km) 4.2 5.7 7.1 8.8
Average speed (km/h) 13.4 11.8 9.8 8.3


On the scatter diagram, plot these points.

1b
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1 mark

What type of correlation is shown in the scatter diagram?

1c
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1 mark

On the scatter diagram, draw a line of best fit.

1d
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1 mark

Use your line of best fit to estimate her average speed when she runs a distance of 6km.

..........................km/h 

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2a
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2 marks

Fourteen students each take two tests in French, a speaking test and a written test.
The table shows the scores.

Speaking test 10 13 48 30 35 18 41 40 22 28 20 44 37 46
Written test 24 44 51 39 45 29 56 20 39 49 33 52 44 52

Complete the scatter diagram.
The first ten points have been plotted for you.

q6a-058031-mayjune2019-cie-igcse-maths-core

2b
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1 mark

What type of correlation is shown in this scatter diagram?

2c
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1 mark

One student has a high score in the speaking test and a low score in the written test.

On the scatter diagram, put a ring around this point.

2d
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1 mark

On the scatter diagram, draw a line of best fit.

2e
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1 mark

Use your line of best fit to estimate a score in the written test for a student who scored 25 in the speaking test.

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3
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4 marks

The number of attempts at a driving test and the number of driving lessons for each of 17 people are shown in the scatter diagram.

q6b-058032-octnov2018-cie-igcse-maths-core

i)
What type of correlation is shown in the scatter diagram?

[1]

ii)
One of these people is picked at random.

Work out the probability that this person had 5 or more attempts.
[1]
iii)
Draw a line of best fit on the scatter diagram.
[1]
iv)
Another person had 15 lessons.

Estimate their number of attempts.
[1]

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4a
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2 marks

Lucy asked 12 people how many hours they each spent playing a computer game and the number of levels they each completed in one month.

The results are shown in the table.

Time spent playing (hours) 90 32 70 75 30 70 40 80 40 65 50 32
Number of levels completed 22 5 12 17 6 7 18 20 8 15 11 9

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Complete the scatter diagram.
The first eight points have been plotted for you.

[2]

4b
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1 mark

One person completes more levels per hour than any of the others.

On the scatter diagram, put a ring around the point for this person.

[1]

4c
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1 mark

What type of correlation does this scatter diagram show?

[1]

4d
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1 mark

On the scatter diagram, draw a line of best fit.

[1]

4e
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1 mark

Another person, Monika, completed 19 levels but forgot to record the time spent playing.

Use your line of best fit to estimate the number of hours that Monika spent playing.

............................ hours [1]

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5a
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1 mark

The scatter diagram shows the value, in thousands of dollars, of eight houses in 1996 and the value of the same houses in 2016.

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One of these eight houses had a value of $70000 in 1996.
Write down the value of this house in 2016.

$ ................................. [1]

5b
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1 mark

The values of two more houses are shown in the table.

Value in 1996 ($ thousands) 40 80
Value in 2016 ($ thousands) 80 150

On the scatter diagram, plot these values.

[1]

5c
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1 mark

On the scatter diagram, draw a line of best fit.

[1]

5d
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1 mark

Another house had a value of $50000 in 1996.

Find an estimate of the value of this house in 2016.

$ ............................... [1]

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