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AQA GCSE Maths Graphs and plots

Graphs and plots

This page covers the following topics:

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

Time series

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.

Scatter graphs

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

Box plots

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.

Pictograms

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.

Histograms

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?

AQA GCSE Maths Graphs and plots Grace measures how far she runs every day for 12 days. What is the range in the distance she runs?
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2

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Max calculates the average monthly temperature for a year:

month, average temperature (Β°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.

AQA GCSE Maths Graphs and plots Max calculates the average monthly temperature for a year: 

month, average temperature (Β°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.
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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?

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

AQA GCSE Maths Graphs and plots 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?
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5

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Plot a scatter graph with the data from this table:

weekly profit (Β£), weekly number of donuts eaten;
6500, 25;
6200, 30;
6550, 18;
6700, 10;
6400, 22;
6300, 27;
6300, 21.

AQA GCSE Maths Graphs and plots Plot a scatter graph with the data from this table: 

weekly profit (Β£), weekly number of donuts eaten; 
6500, 25; 
6200, 30; 
6550, 18; 
6700, 10; 
6400, 22; 
6300, 27; 
6300, 21.
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6

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

AQA GCSE Maths Graphs and plots This box plot represents the daily cake sales of a cafe last month; find the interquartile range.
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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.

AQA GCSE Maths Graphs and plots 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.
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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.

AQA GCSE Maths Graphs and plots This box plot represents the number of siblings each student in a class has. State 2 conclusions you can make from this diagram.
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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?

AQA GCSE Maths Graphs and plots 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?
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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 Β£3; which weeks did the bake sale raise more than Β£20?

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

AQA GCSE Maths Graphs and plots 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.
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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.

AQA GCSE Maths Graphs and plots 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.
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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.

AQA GCSE Maths Graphs and plots 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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