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Maths Gcse Wjec-Eduqas Higher

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  1. Scatter-Graphs-And-Correlation Wjec-Eduqas Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Wjec-Eduqas Higher
    4 主题
  3. Histograms Wjec-Eduqas Higher
    3 主题
  4. Statistical-Diagrams- Wjec-Eduqas Higher
    6 主题
  5. Averages-Ranges-And-Data Wjec-Eduqas Higher
    8 主题
  6. Combined-And-Conditional-Probability Wjec-Eduqas Higher
    3 主题
  7. Tree-Diagrams- Wjec-Eduqas Higher
    1 主题
  8. Simple-Probability-Diagrams- Wjec-Eduqas Higher
    3 主题
  9. Introduction-To-Probability Wjec-Eduqas Higher
    3 主题
  10. Transformations Wjec-Eduqas Higher
    5 主题
  11. Vectors Wjec-Eduqas Higher
    6 主题
  12. 3D-Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    1 主题
  13. Sine-Cosine-Rule-And-Area-Of-Triangles- Wjec-Eduqas Higher
    4 主题
  14. Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    4 主题
  15. Area-And-Volume-Of-Similar-Shapes Wjec-Eduqas Higher
    1 主题
  16. Congruence-Similarity-And-Geometrical-Proof Wjec-Eduqas Higher
    5 主题
  17. Volume-And-Surface-Area- Wjec-Eduqas Higher
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  18. Circles-Arcs-And-Sectors- Wjec-Eduqas Higher
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  19. Area-And-Perimeter- Wjec-Eduqas Higher
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  20. Circle-Theorems Wjec-Eduqas Higher
    7 主题
  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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  23. Symmetry-And-Shapes 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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  30. Transformations-Of-Graphs- Wjec-Eduqas Higher
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  31. Graphing-Inequalities- Wjec-Eduqas Higher
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  32. Solving-Inequalities- Wjec-Eduqas Higher
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  33. Real-Life-Graphs Wjec-Eduqas Higher
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  34. Estimating-Gradients-And-Areas-Under-Graphs Wjec-Eduqas Higher
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  35. Equation-Of-A-Circle- Wjec-Eduqas Higher
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  36. Graphs-Of-Functions Wjec-Eduqas Higher
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  37. Linear-Graphs Wjec-Eduqas Higher
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  38. Quadratic-Equations Wjec-Eduqas Higher
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  39. Linear-Equations- Wjec-Eduqas Higher
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  40. Algebraic-Proof Wjec-Eduqas Higher
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  41. Rearranging-Formulae 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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  45. Iteration Wjec-Eduqas Higher
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  46. Simultaneous-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
    4 主题
  58. Percentages Wjec-Eduqas Higher
    3 主题
  59. Fractions Wjec-Eduqas Higher
    4 主题
  60. Powers-Roots-And-Standard-Form Wjec-Eduqas Higher
    4 主题
  61. Prime-Factors-Hcf-And-Lcm- Wjec-Eduqas Higher
    4 主题
  62. Number-Operations Wjec-Eduqas Higher
    10 主题
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Exam code:C300

Calculations with the mean

How do I solve harder problems involving the mean?

  • Remember what the mean is

    • Mean = total of values ÷ number of values

      • It is a formula involving three quantities

      • if you know any two, you can find the other one

  • A question may require you to work backwards from a known mean

    • It helps to rearrange the formula

    • Total of values = mean × number of values

  • Find the total of the values before and after to help with question that involve: 

    • missing values

    • adding in, or taking out, a value

Examiner Tips and Tricks

  • It helps to start thinking of the mean as a formula which you can rearrange

    • Total of values = mean × number of values

Worked Example

A class of 24 students has a mean height of 1.56 metres.
A new student joins the class.
The mean height of the class is now 1.57 metres.

Find the height of the new student.

Rearrange the formula for mean to get ‘total of heights = mean height × number of students’
Find the total of heights before 

Total of heights before = 1.56 × 24 = 37.44 

Find the total of heights after
Remember there are now 25 students

Total of heights after = 1.57 × 25 = 39.25  

The height of the new student is the difference of the two totals above

39.25 – 37.44 = 1.81 

The height of the new student is 1.81 metres

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