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Scatter graphs

Free Printable Scatter graphs PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 4)

Download free scatter graphs worksheets (PDF), GCSE maths past paper questions and worked solutions for Scatter graphs (4U). This is a Grade 4 statistics topic from the GCSE questions by topic collection for Foundation and Higher tier crossover GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Maths4Everyone, Corbett Maths, Maths Made Easy, Naiker Maths, Metatutor, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our scatter graphs revision notes and worked examples with diagrams, try real GCSE past paper scatter graphs questions with step-by-step solutions, or download a PDF of all scatter graphs worksheet links.

Free Scatter graphs PDF Worksheets & Answers

Grade 4 • Topic 4U
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GCSE Maths Grade 4 Revision Notes & Method

Guide to Scatter graphs: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

A scatter graph plots pairs of values to investigate whether two variables are related. Correlation can be positive (as one increases, the other increases), negative (as one increases, the other decreases), or no correlation. An outlier is an isolated point that does not fit the general trend.

Always draw a straight line of best fit with a ruler through the middle of the points (ignoring any outliers) before estimating a value. Estimating within the data range (interpolation) is reliable; estimating outside the data range (extrapolation) is unreliable because the trend may not continue.

Example 1: A scatter graph plots engine size (L) against fuel efficiency (mpg). State the correlation and describe the relationship.

mpg Engine size (L)
Negative correlation.
As engine size increases, mpg decreases.

Example 2: Ice cream sales (£) are plotted from 12°C to 26°C. Estimate sales at 20°C, and explain why estimating at 38°C is unreliable.

160 80 £ 12 20 26°C
At 20°C: £160.
38°C is outside data range (extrapolation).
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Scatter graphs Questions & Answers

Past Paper Example 1 AQA Nov 2023 1F Q24 / 1H Q6 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.
01000200030004000500060007000800090001000200030004000500060007000800090001000011000Number of downloadsNumber ofCDs sold
(a) The scatter graph shows positive correlation.
Describe the relationship between number of downloads and number of CDs sold.
[1 mark]
(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 marks]
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
As the number of downloads increases, the number of CDs sold increases
Answer (a): As the number of downloads increases, the number of CDs sold increases
Part (b) Solution:
From the line of best fit at 9000 downloads, number of CDs sold = 5500 M1
Earnings from downloads = 9000 × £2.50 = £22 500 M1
Earnings from CDs = 5500 × £3 = £16 500
Total = £22 500 + £16 500 = £39 000 A1
Answer (b): Answer £ 39 000
Past Paper Example 2 GCSE May 2017 1F Q21 / 1H Q1 2 marks
The scatter graph shows the maximum temperature and the number of hours of sunshine in fourteen British towns on one day.
7911131517101214161820Number of hours of sunshineMaximumtemperature(°C)
(a) Write down the coordinates of this point. [1 mark]
(b) For all the other points write down the type of correlation. [1 mark]
Worked Solution & Mark Scheme (2 marks)
Part (a) Solution:
Outlier is at (10, 19) B1
Answer (a): 10, 19
Part (b) Solution:
Points slope upwards from left to right -> positive correlation B1
Answer (b): Positive
Past Paper Example 3 AQA Jun 2022 3H Q3 2 marks
Here are four scatter graphs.
Graph A××××××××××××××Graph B××××××××××××Graph C×××××××××××××Graph D×××××××××××
(a) For which graph is a straight line of best fit appropriate?
A B C D
[1 mark]
(b) Which graph has one outlier?
A B C D
[1 mark]
Worked Solution & Mark Scheme (2 marks)
Part (a) Solution:
Graph D shows a clear linear correlation (negative slope) where points scatter along a straight line. B1
Answer (a): D
Part (b) Solution:
Graph B shows points closely following a curved downward trend except for one isolated point well away from the curve. B1
Answer (b): B

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