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Maths Gcse Wjec-Eduqas Higher

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  1. Scatter-Graphs-And-Correlation Wjec-Eduqas Higher
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  2. Cumulative-Frequency-And-Box-Plots Wjec-Eduqas Higher
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  3. Histograms Wjec-Eduqas Higher
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  4. Statistical-Diagrams- Wjec-Eduqas Higher
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  5. Averages-Ranges-And-Data Wjec-Eduqas Higher
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  6. Combined-And-Conditional-Probability Wjec-Eduqas Higher
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  7. Tree-Diagrams- Wjec-Eduqas Higher
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  8. Simple-Probability-Diagrams- Wjec-Eduqas Higher
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  9. Introduction-To-Probability Wjec-Eduqas Higher
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  10. Transformations Wjec-Eduqas Higher
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  11. Vectors Wjec-Eduqas Higher
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  12. 3D-Pythagoras-And-Trigonometry Wjec-Eduqas Higher
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  13. Sine-Cosine-Rule-And-Area-Of-Triangles- Wjec-Eduqas Higher
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  14. Pythagoras-And-Trigonometry Wjec-Eduqas Higher
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  15. Area-And-Volume-Of-Similar-Shapes Wjec-Eduqas Higher
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  16. Congruence-Similarity-And-Geometrical-Proof Wjec-Eduqas Higher
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  19. Area-And-Perimeter- Wjec-Eduqas Higher
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  20. Circle-Theorems Wjec-Eduqas Higher
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  21. Bearings-Scale-Drawing-Constructions-And-Loci Wjec-Eduqas Higher
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  22. Angles-In-Polygons-And-Parallel-Lines Wjec-Eduqas Higher
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  24. Exchange-Rates-And-Best-Buys Wjec-Eduqas Higher
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  25. Standard-And-Compound-Units- Wjec-Eduqas Higher
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  26. Direct-And-Inverse-Proportion- Wjec-Eduqas Higher
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  27. Problem-Solving-With-Ratios Wjec-Eduqas Higher
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  28. Ratios Wjec-Eduqas Higher
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  29. Sequences Wjec-Eduqas Higher
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  42. Coordinate-Geometry- Wjec-Eduqas Higher
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  43. Functions Wjec-Eduqas Higher
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  44. Forming-And-Solving-Equations Wjec-Eduqas Higher
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  47. Algebraic-Fractions- Wjec-Eduqas Higher
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  48. Completing-The-Square Wjec-Eduqas Higher
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  49. Factorising Wjec-Eduqas Higher
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  50. Expanding-Brackets Wjec-Eduqas Higher
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  51. Algebraic-Roots-And-Indices Wjec-Eduqas Higher
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  52. Introduction-To-Algebra Wjec-Eduqas Higher
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  53. Using-A-Calculator Wjec-Eduqas Higher
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  54. Surds Wjec-Eduqas Higher
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  55. Rounding-Estimation-And-Bounds Wjec-Eduqas Higher
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  56. Fractions-Decimals-And-Percentages Wjec-Eduqas Higher
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  57. Simple-And-Compound-Interest-Growth-And-Decay Wjec-Eduqas Higher
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  58. Percentages Wjec-Eduqas Higher
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  59. Fractions Wjec-Eduqas Higher
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  60. Powers-Roots-And-Standard-Form Wjec-Eduqas Higher
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  61. Prime-Factors-Hcf-And-Lcm- Wjec-Eduqas Higher
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  62. Number-Operations Wjec-Eduqas Higher
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Exam code:C300

Line charts, bar charts & pictograms

What is a line chart and what is it used for?

  • Sometimes called a vertical line chart, this a visual way to represent discrete data

    • Line charts 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

  • The vertical axis shows the frequency

    • The scale should start at zero and increase in equal amounts

  • The horizontal axis shows the different outcomes

    • A vertical line is drawn for each outcome and its height is its frequency

6-2-2-line-chart
  • You can easily identify the mode using a line chart

    • The mode is the most common outcome

    • 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 with only a few elsewhere

    • This may help identify anomalies or outliers in the data

    • e.g. In the line chart above we 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

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
  • The mode is the outcome with the highest bar

  • You can also get dual bar charts to compare two data sets

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

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 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

Examiner Tips and Tricks

  • If asked to draw a bar chart, find the largest frequency and choose a scale which makes that fit in the space provided

  • If asked to draw a pictogram, pick a symbol that is easy to duplicate and draw half (or quarter) of

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 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

He teaches 21 Year 8 students

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