# StudySquare

# AQA GCSE Maths Graphs and plots

This page covers the following topics:

Time series graphs are used to represent data collected over time.

Scatter graphs use a line of best fit, drawn centrally through the points, to show correlations between variables; extend the line to extrapolate (estimate) values outside the range of data given.

Box plots visually display the median, quartiles and interquartile range of a data set against a scale.

Pictograms display data using symbols that makes information visually easier to understand and uses a key to show what each symbol presents. Below is an example displaying the number of cupcakes sold each day at a cafe.

Histograms are used when class intervals are unequal. Frequency is represented by the area of the bar; the height of each bar is called the frequency density and there are no gaps between the bars.

# 1

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Grace measures how far she runs every day for 12 days. What is the range in the distance she runs?

# 2

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Max calculates the average monthly temperature for a year:

month, average temperature (°C);

1, 4;

2, 6;

3, 11;

4, 9;

5, 14;

6, 19;

7, 25;

8, 22;

9, 19;

10, 8;

11, 7;

12, 5.

Plot a time series graph with this data.

# 3

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The scatter graph shows the science and maths test results for a set of students. What type of correlation does this scatter graph show?

# 4

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The scatter graph shows the age of children at a school and how many pets they have. What type of correlation does this graph show?

# 5

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Plot a scatter graph with the data from this table:

weekly profit (£), weekly number of donuts eaten;

6500, 25;

6200, 30;

6550, 18;

6700, 10;

6400, 22;

6300, 27;

6300, 21.

# 6

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This box plot represents the daily cake sales of a cafe last month; find the interquartile range.

# 7

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The cumulative frequency graph below shows the weights of dogs at a pet shop; the lightest dog weighed 1 kg. Construct a box plot of the data.

# 8

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This box plot represents the number of siblings each student in a class has. State 2 conclusions you can make from this diagram.

# 9

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Carl uses a pictogram to display how many books he’s read in different genres. He wants to have read at least 7 books per genre; for which genres has he completed his goal?

# 10

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The number of cakes sold at a bake sale held once a week are shown in this pictogram. Each cake cost £3; which weeks did the bake sale raise more than £20?

# 11

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This is a table representing the ages, a, of people who visit a park, use it to construct a histogram: Age (years), Frequency; 5<a≤8, 7; 8<a≤12, 14; 12<a≤16, 9; 16<a≤20, 18.

# 12

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This table shows how much exercise, e, a group of students do per week, use it to draw a histogram: Hours of exercise, Frequency; 0<e≤0.5, 5; 0.5<e≤1.5, 15; 1.5<e≤2.5, 20. 2.5<e≤4, 11.

# 13

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The number of trees in various parks across the uk is represented in this histogram. Estimate how many parks have 20 trees or less.

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