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Statistics Gcse Edexcel Foundation

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  1. Planning-And-Types-Of-Data gcse Edexcel Foundation
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  2. Population-Sampling-And-Collecting-Data gcse Edexcel Foundation
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  3. Tabulation-Diagrams-And-Representation gcse Edexcel Foundation
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  4. Measures-Of-Central-Tendency gcse Edexcel Foundation
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  5. Measures-Of-Dispersion gcse Edexcel Foundation
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  6. Using-Summary-Statistics gcse Edexcel Foundation
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  7. Index-Numbers-And-Rates-Of-Change gcse Edexcel Foundation
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  8. Scatter-Diagrams-And-Correlation gcse Edexcel Foundation
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  9. Time-Series gcse Edexcel Foundation
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  10. Estimation gcse Edexcel Foundation
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  11. Probability gcse Edexcel Foundation
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Exam code:1ST0

Bar Charts & Vertical Line Graphs

What is a bar chart?

  • A bar chart is a visual way to represent discrete data

    • Discrete data is data that can be counted 

      • This can be numerical like shoe sizes in a class

      • Or non-numerical (categorical) like colours of cars down a road

  • The horizontal axis shows the different outcomes

  • The vertical axis shows the frequency

  • The heights of the bars show the frequency

    • Bars should be separated by gaps

    • Bars should have equal widths

Bar chart showing shoe sizes in a class

What is a dual (comparative) bar chart?

  • Dual (or comparative) bar charts compare two data sets on one bar chart

    • The data sets measure the same variable, so use the same scale

    • The bars are in pairs (side-by-side) for each outcome

    • e.g. For comparing the shoe sizes of two year groups

A dual bar chart showing the number of hot food items and ice creams sold each month for February, March, and April

What is a bar-line chart?

  • A bar-line chart also shows two data sets on one chart

    • However one data set is represented by a line, and the other by bars

    • This allows two different variables to be shown, with a different scale for each

    • e.g. For showing the monthly temperature (as a line) and the monthly rainfall (as bars) across the year for a location

      • One scale would be in °C, and the other would be in mm

  • There are also composite bar charts, which are covered in their own section below

A bar line chart showing both average temperatures and rainfall for different months of the year

What is a vertical line graph?

  • A vertical line graph (or vertical line chart), is a visual way to represent discrete data

    • Vertical line graphs are used for numerical data (rather than categorical data)

      • They are particularly useful when there are lots of different options to show
        e.g. Results of a test where scores are given as percentages

    • Do not confuse these with the line graphs which are used when drawing time series graphs

      • For those, see the ‘Time Series Graphs’ revision note

  • The vertical axis shows the frequency

  • The horizontal axis shows the different outcomes

vertical line chart
  • You can easily identify the mode (most common value) using a line chart

    • This will be the outcome with the highest (tallest/longest) line

    • e.g. In the line chart above, 11 was the modal test score, with a frequency of 7

  • You can quickly see how the data is spread using a line chart

    • Lines may be crowded around a particular group of options

    • This may help identify anomalies or outliers in the data

    • e.g. In the line chart above you can see

      • the majority of the test scores, out of 20, were between 7 and 12

      • one pupil scored 19 out of 20, much higher than anyone else in the class

Examiner Tips and Tricks

  • If asked to draw a bar chart, find the largest frequency and select a scale which allows it to fit in the space provided

Worked Example

Mr Barr teaches students in Year 7 and Year 8.
He records the number of pets that students in each year have.
His results are shown in the dual bar chart below.
 

A dual bar chart showing the number of pets owned by Year 7 and Year 8 students

(a) Write down the modal number of pets for his Year 7 students.

The modal number (mode) is the number of pets that occurs the most
Visually, this will be the highest bar for Year 7s

The mode for Year 7 is 1 pet

(b) How many Year 8 students does he teach?

Add up all the heights (frequencies) of the Year 8 bars

4 + 8 + 4 + 3 + 0 + 2 = 21

He teaches 21 Year 8 students

Pictograms

What is a pictogram?

  • A pictogram is an alternative to a bar chart

    • It is used in the same situations

  • There are no axes

    • Frequency is represented by symbols

    • A key shows the value of 1 symbol

      • For example, 1 symbol represents a frequency of 2

    • Half and quarter symbols are often used

A pictogram showing shoe sizes in a Year 11 class
  • The pictogram above shows the shoe sizes of students in a class

    • As 1 picture of a shoe represents 2 students

      • Half a shoe represents 1 student

    • The number of students with a shoe size of 7, is 3

Composite Bar Charts

What is a composite bar chart?

  • A composite bar chart shows the total frequency for a category as well as the proportions in each category

  • For example, the chart below shows the total number of vehicles passing a location at different times

    • The overall height of each bar shows the total number of vehicles

    • The sections within each bar show the proportion of vehicles by type

      • Be careful – it is just the height of each coloured section which shows the frequency, not the whole bar

      • e.g. For 9-9:30 am, there are around 10 bikes, not 80

  • Composite bar charts can reveal more information that a regular bar chart

    • e.g. The below chart shows the least traffic in total is between 9:30-10 am, but it is also during this time that the greatest number of lorries are present

    <img alt=”Composite bar chart for traffic counts by type and time” class=”ContentBlock_figure__vJw2q” data-nimg=”1″ decoding=”async” height=”623″ loading=”lazy” sizes=”(max-width: 320px) 320w, (max-width: 640px) 640w, (max-width: 960px) 960w, (max-width: 1280px) 1280w, 1920w” src=”https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2022/08/compound-bar-chart.png” srcset=”https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=16/https://cdn.savemyexams.com/uploads/2022/08/compound-bar-chart.png 16w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=32/https://cdn.savemyexams.com/uploads/2022/08/compound-bar-chart.png 32w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=48/https://cdn.savemyexams.com/uploads/2022/08/compound-bar-chart.png 48w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=64/https://cdn.savemyexams.com/uploads/2022/08/compound-bar-chart.png 64w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=96/https://cdn.savemyexams.com/uploads/2022/08/compound-bar-chart.png 96w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=128/https://cdn.savemyexams.com/uploads/2022/08/compound-bar-chart.png 128w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=256/https://cdn.savemyexams.com/uploads/2022/08/compound-bar-chart.png 256w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=384/https://cdn.savemyexams.com/uploads/2022/08/compound-bar-chart.png 38

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