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Maths Gcse Aqa Foundation

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  1. Scatter-Graphs-And-Correlation Aqa Foundation
    2 主题
  2. Statistical-Diagrams Aqa Foundation
    6 主题
  3. Averages-Ranges-And-Data Aqa Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Aqa Foundation
    2 主题
  5. Simple-Probability-Diagrams Aqa Foundation
    4 主题
  6. Transformations Aqa Foundation
    4 主题
  7. Vectors Aqa Foundation
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  8. Pythagoras-And-Trigonometry Aqa Foundation
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  9. Congruence-Similarity-And-Geometrical-Proof Aqa Foundation
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  10. Volume-And-Surface-Area Aqa Foundation
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  11. Circles-Arcs-And-Sectors Aqa Foundation
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  12. Area-And-Perimeter Aqa Foundation
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  13. Bearings-Scale-Drawing-Constructions-And-Loci Aqa Foundation
    5 主题
  14. 2D-And-3D-Shapes Aqa Foundation
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  15. Angles-In-Polygons-And-Parallel-Lines Aqa Foundation
    5 主题
  16. Symmetry-And-Shapes Aqa Foundation
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  17. Exchange-Rates-And-Best-Buys Aqa Foundation
    2 主题
  18. Standard-And-Compound-Units Aqa Foundation
    5 主题
  19. Direct-And-Inverse-Proportion Aqa Foundation
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  20. Ratio-Problem-Solving Aqa Foundation
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  21. Sequences Aqa Foundation
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  22. Solving-Inequalities Aqa Foundation
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  23. Real-Life-Graphs Aqa Foundation
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  24. Graphs-Of-Functions Aqa Foundation
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  25. Linear-Graphs Aqa Foundation
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  26. Coordinate-Geometry Aqa Foundation
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  27. Functions Aqa Foundation
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  28. Forming-And-Solving-Equations Aqa Foundation
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  29. Simultaneous-Equations Aqa Foundation
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  30. Solving-Quadratic-Equations Aqa Foundation
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  31. Linear-Equations Aqa Foundation
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  32. Algebraic-Reasoning Aqa Foundation
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  33. Rearranging-Formulas Aqa Foundation
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  34. Introduction Aqa Foundation
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  35. Factorising Aqa Foundation
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  36. Expanding-Brackets Aqa Foundation
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  37. Algebraic-Roots-And-Indices Aqa Foundation
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  38. Using-A-Calculator Aqa Foundation
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  39. Exact-Values Aqa Foundation
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  40. Rounding-Estimation-And-Error-Intervals Aqa Foundation
    4 主题
  41. Fractions-Decimals-And-Percentages Aqa Foundation
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  42. Simple-And-Compound-Interest-Growth-And-Decay Aqa Foundation
    4 主题
  43. Percentages Aqa Foundation
    5 主题
  44. Fractions Aqa Foundation
    6 主题
  45. Powers-Roots-And-Standard-Form Aqa Foundation
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  46. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Aqa Foundation
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  47. Number-Operations Aqa Foundation
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课 Progress
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Exam code:8300

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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