Graphs in the Media (WJEC GCSE Maths & Numeracy (Double Award)): Revision Note

Exam code: 3320

Jamie Wood

Written by: Jamie Wood

Reviewed by: Mark Curtis

Updated on

Graphs in the Media

How are graphs used in the media?

  • Graphs and infographics are often used to present data in the media

  • This could be online e.g. on social media, in advertisements, or in articles

    • or in printed media like newspapers, leaflets, or posters

  • Ideally data should always be presented accurately and honestly, without bias

  • However there are reasons why individuals, companies, and organisations may wish to present a particular viewpoint

    • This is usually because they want to persuade you in some way

      • E.g. to buy a particular product

How might graphs be misleading?

  • There are some common methods that might be used to make a graph misleading or to emphasise a certain viewpoint

  • These include:

    • The vertical scale (on say, a bar chart) does not start at zero

      • This can exaggerate differences between values, making small changes look more significant

    • The scale used on an axis (or axes) is inconsistent

      • For example, the intervals might change size across the axis

    • For grouped data, the chart might use groups that are too big

      • This can hide important details or trends within the data set

    • The graph is not drawn with all the given data

      • Missing data points can distort the overall picture or trend

    • For bar charts, the bars may not all be the same width

      • If a bar representing a value is visually wider, it can make that value appear larger or more significant than the height alone suggests

Worked Example

A car dealership publishes a bar chart comparing the sales figures of three different vehicle types (Saloon, SUV, and Hatchback) sold last month.

Bar chart displaying vehicle sales: Saloon 48, SUV 52, Hatchback 49 units. Vertical axis shows units sold, horizontal axis lists vehicle type.

The CEO of the dealership made the following two statements based on the visual appearance of this chart:

Statement 1: "The graph clearly shows that our SUV sales are about double our Saloon sales"

Statement 2: "Hatchback sales make up a significantly larger proportion of our sales than saloon sales"

The CEO’s statements are both incorrect.

Give one explanation for each statement that has led the CEO to make these incorrect statements.

Answer:

Notice that the vertical axis does not start from zero

For statement 1, it appears that twice as many SUVs were sold than saloons as the graph does not start from zero on the vertical axis.

This exaggerates the difference in sales. The difference was actually only 4 (52 compared to 48, so only 8% more)

Notice that the bar for hatchbacks is twice as wide as the other bars

For statement 2, the bar for hatchbacks is much wider than the other bars.

This gives the impression that the bar represents a larger number of sales than it really does. The difference between hatchback sales and saloon sales was only 1.

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Jamie Wood

Author: Jamie Wood

Expertise: Maths Content Creator

Jamie graduated in 2014 from the University of Bristol with a degree in Electronic and Communications Engineering. He has worked as a teacher for 8 years, in secondary schools and in further education; teaching GCSE and A Level. He is passionate about helping students fulfil their potential through easy-to-use resources and high-quality questions and solutions.

Mark Curtis

Reviewer: Mark Curtis

Expertise: Maths Content Creator

Mark graduated twice from the University of Oxford: once in 2009 with a First in Mathematics, then again in 2013 with a PhD (DPhil) in Mathematics. He has had nine successful years as a secondary school teacher, specialising in A-Level Further Maths and running extension classes for Oxbridge Maths applicants. Alongside his teaching, he has written five internal textbooks, introduced new spiralling school curriculums and trained other Maths teachers through outreach programmes.