GCSE · Averages & range

Mean, median, mode & rangeExam-style questions

The three averages and the range from a raw list — what each one is actually for, why the median needs the data sorted first, why the range is a measure of spread and not an average, and why every reverse-mean question is really a question about the total.

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14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Here are five numbers: 3,  7,  4,  7,  9\quad 3, \; 7, \; 4, \; 7, \; 9. Write down the mode.
    Level 1 · 1 markTry it
  2. 2
    Here are five numbers: 3,  7,  4,  7,  9\quad 3, \; 7, \; 4, \; 7, \; 9. Work out the median.
    Level 1 · 2 marksTry it
  3. 3
    Here are five numbers: 3,  7,  4,  7,  9\quad 3, \; 7, \; 4, \; 7, \; 9. Work out
    (a) the mean and (b) the range.
    Level 1 · 3 marksTry it