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AQA GCSE Maths

Topic questions Statistics Scatter diagrams

Scatter diagrams

16 questions · 62 marks · about 1 hour

Scatter diagrams questions

TopicScatter diagrams

AQA 8300 Scatter diagrams 16 questions

Paper 2: Calculator June 2025 Foundation tier, Question 20, also on the Higher paper 5 marks

Youssuf posted an advert on his social media channel. The table shows the number of views of the advert during its first 6 days.

Day123456
Number of views49 00095 00087 00077 00064 00048 000
(a)

On the grid, draw a time series graph to represent the data.

Figure for question 20
[2]
Reveal mark scheme Mark scheme for question 20(a)
(b)

Youssuf receives 0.018p for each view of the advert. Estimate how much he receives from views of the advert on day 7

[3]
Reveal mark scheme Mark scheme for question 20(b)

Paper 2: Calculator June 2025 Higher tier, Question 3, also on the Foundation paper 5 marks

Also involves The four operations

Youssuf posted an advert on his social media channel. The table shows the number of views of the advert during its first 6 days.

Day123456
Number of views49 00095 00087 00077 00064 00048 000
(a)

On the grid, draw a time series graph to represent the data.

Figure for question 3
[2]
Reveal mark scheme Mark scheme for question 3(a)
(b)

Youssuf receives 0.018p for each view of the advert. Estimate how much he receives from views of the advert on day 7

[3]
Reveal mark scheme Mark scheme for question 3(b)

Paper 3: Calculator June 2025 Foundation tier, Question 12 2 marks

The table shows the age and value of some cars.

Age of car (years)233456710
Value of car (nearest £1000)22 00021 00018 00019 00014 00012 00090005000

Anil draws this scatter diagram and line of best fit for the data.

Figure for question 12

Write down two mistakes he has made.

[2]
Reveal mark scheme Mark scheme for question 12

Paper 3: Calculator June 2024 Foundation tier, Question 12 4 marks

Liz records the distance of some runs and the time each run takes.

Distance (km)345.566.5788.5
Time (min)1417222326313842

The scatter graph shows some of the information from the table.

Figure for question 12
(a)

Complete the graph by adding the missing label and plotting the two missing points.

[2]
Reveal mark scheme Mark scheme for question 12(a)
(b)

Describe the correlation shown in the scatter graph.

Type of correlation

Strength of correlation 6

[2]
Reveal mark scheme Mark scheme for question 12(b)

Paper 1: Non-calculator November 2023 Foundation tier, Question 24, also on the Higher paper 4 marks

A music company releases 10 albums.

The scatter graph shows, for each album, the number of downloads on the first day and the number of CDs sold on the first day. A line of best fit has been drawn on the scatter graph.

Figure for question 24
(a)

The scatter graph shows positive correlation.

Describe the relationship between number of downloads and number of CDs sold.

[1]
Reveal mark scheme Mark scheme for question 24(a)
(b)

The company earns £2.50 for each download and £3 for each CD sold. The company releases another album. On the first day it has 9000 downloads.

Estimate the total amount the company earns from downloads and CDs of the album that day.

[3]
Reveal mark scheme Mark scheme for question 24(b)

Paper 1: Non-calculator November 2023 Higher tier, Question 6, also on the Foundation paper 4 marks

A music company releases 10 albums.

The scatter graph shows, for each album, the number of downloads on the first day and the number of CDs sold on the first day. A line of best fit has been drawn on the scatter graph.

Figure for question 6
(a)

The scatter graph shows positive correlation.

Describe the relationship between number of downloads and number of CDs sold.

[1]
Reveal mark scheme Mark scheme for question 6(a)
(b)

The company earns £2.50 for each download and £3 for each CD sold. The company releases another album. On the first day it has 9000 downloads.

Estimate the total amount the company earns from downloads and CDs of the album that day.

[3]
Reveal mark scheme Mark scheme for question 6(b)

Paper 1: Non-calculator June 2023 Foundation tier, Question 20 4 marks

Players score points in a game. The scatter graph shows the time played and the points scored by some players.

Figure for question 20
(a)

Circle the strength and type of correlation shown.

weak positive strong positive weak negative strong negative

[1]
Reveal mark scheme Mark scheme for question 20(a)
(b)

Players get one extra life for every 2000 points they score. Jonah plays the game for 15 hours. Use a line of best fit to estimate the number of extra lives he gets.

[3]
Reveal mark scheme Mark scheme for question 20(b)

Paper 3: Calculator November 2022 Foundation tier, Question 21 3 marks

The scatter graph shows the height and mass of some dogs.

Figure for question 21
(a)

The scatter graph shows positive correlation. Describe the relationship between the height and mass of the dogs.

[1]
Reveal mark scheme Mark scheme for question 21(a)
(b)

Use a line of best fit to estimate the mass of a dog with height 48 cm

[2]
Reveal mark scheme Mark scheme for question 21(b)

Paper 3: Calculator June 2022 Higher tier, Question 3 2 marks

Also involves Outliers

Here are four scatter graphs.

Figure for question 3
(a)

For which graph is a straight line of best fit appropriate? Circle your answer.

A B C D

[1]
Reveal mark scheme Mark scheme for question 3(a)
(b)

Which graph has one outlier? Circle your answer.

A B C D

[1]
Reveal mark scheme Mark scheme for question 3(b)

Paper 3: Calculator November 2021 Foundation tier, Question 18 5 marks

Also involves Outliers

The scatter diagram shows the age and value of some cars in 2019 All the cars were of the same make and model.

Figure for question 18
(a)

What type of correlation does the scatter graph show?

[1]
Reveal mark scheme Mark scheme for question 18(a)
(b)

Write down the value of the car that was an outlier.

[1]
Reveal mark scheme Mark scheme for question 18(b)
(c)

Use the graph to estimate the value of a new car of this make and model in 2019

[1]
Reveal mark scheme Mark scheme for question 18(c)
(d)

A car of this make and model had a value of £5600 in 2019 Use the graph to estimate the year in which it was made.

[2]
Reveal mark scheme Mark scheme for question 18(d)

Paper 1: Non-calculator November 2020 Foundation tier, Question 20, also on the Higher paper 2 marks

A and B are scatter graphs.

Figure for question 20

What type of correlation is shown by each graph? Choose from

Figure for question 20
[2]
Reveal mark scheme Mark scheme for question 20

Paper 1: Non-calculator November 2020 Higher tier, Question 6, also on the Foundation paper 2 marks

A and B are scatter graphs.

Figure for question 6

What type of correlation is shown by each graph? Choose from

Figure for question 6
[2]
Reveal mark scheme Mark scheme for question 6

Paper 2: Calculator November 2019 Foundation tier, Question 25, also on the Higher paper 4 marks

The scatter graph shows the best high jump and the best long jump for 15 boys.

Figure for question 25
(a)

Write down the type of correlation shown.

[1]
Reveal mark scheme Mark scheme for question 25(a)
(b)

Liam has a best high jump of 166 cm Use a line of best fit to estimate his best long jump.

[2]
Reveal mark scheme Mark scheme for question 25(b)
(c)

Another boy has a best high jump of 195 cm Give a reason why you should not use a line of best fit to estimate his best long jump.

[1]
Reveal mark scheme Mark scheme for question 25(c)

Paper 2: Calculator November 2019 Higher tier, Question 6, also on the Foundation paper 4 marks

The scatter graph shows the best high jump and the best long jump for 15 boys.

Figure for question 6
(a)

Write down the type of correlation shown.

[1]
Reveal mark scheme Mark scheme for question 6(a)
(b)

Liam has a best high jump of 166 cm Use a line of best fit to estimate his best long jump.

[2]
Reveal mark scheme Mark scheme for question 6(b)
(c)

Another boy has a best high jump of 195 cm Give a reason why you should not use a line of best fit to estimate his best long jump.

[1]
Reveal mark scheme Mark scheme for question 6(c)

Paper 2: Calculator June 2018 Foundation tier, Question 18 4 marks

A shop sells raincoats and umbrellas. The scatter graph shows the monthly sales for 12 months.

Figure for question 18
(a)

Write down the type of correlation shown by the graph.

[1]
Reveal mark scheme Mark scheme for question 18(a)
(b)

The manager expects the sales of umbrellas next month to be £60 Draw a line of best fit to estimate the sales of raincoats next month.

[3]
Reveal mark scheme Mark scheme for question 18(b)

Paper 2: Calculator June 2017 Foundation tier, Question 12 8 marks

Also involves The four operations

Lee sells ice creams. The table shows the midday temperature and his sales for five days.

Day 1Day 2Day 3Day 4Day 5
Temperature (°C)3026172220
Sales (£)18015080130120
Reveal mark scheme Mark scheme for question 12
(a)

He draws this scatter graph and line of best fit.

Figure for question 12

Write down two mistakes he has made.

[2]
Reveal mark scheme Mark scheme for question 12(a)
(b)

Lee wants to work out the range of the five temperatures. His calculation is 30 – 20 = 10 Is his method correct? Tick a box.

Figure for question 12

Give a reason to support your answer.

[1]
Reveal mark scheme Mark scheme for question 12(b)
(c)

The table shows Lee’s costs.

Figure for question 12

Work out his total profit for the five days.

[5]
Reveal mark scheme Mark scheme for question 12(c)

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