GCSE · Averages & range

Averages from a frequency tableExam-style questions

Mean, median, mode and range from a discrete frequency table — why the mean is the sum of the fx column divided by the total FREQUENCY, not by the number of rows, and how to run it backwards to find a missing frequency.

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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    The table gives information about the number of days each of 60 students was absent last term.
    Number of days absent, xxFrequency, ff
    018
    115
    212
    39
    44
    52
    (a) Write down the range of the number of days absent.

    (b) Work out the median number of days absent.

    (c) Work out the mean number of days absent. Give your answer correct to 2 decimal places.
    Level 4 · 6 marksTry it
  2. 2
    A shop recorded the number of items bought by each of 80 customers. One frequency has been left out of the table.
    Number of items, xxFrequency, ff
    126
    221
    3
    49
    56
    (a) Work out the missing frequency.

    (b) Work out the mean number of items bought per customer.
    Level 4 · 5 marksTry it
  3. 3
    The table shows the number of pets owned by each of the 24 pupils in a class.
    Number of pets, xxFrequency, ff
    09
    17
    25
    32
    41
    (a) Work out the mean number of pets owned by these 24 pupils.

    (b) Six more pupils join the class. Each of these six pupils owns 3 pets.

    Work out the mean number of pets owned by all 30 pupils.
    Level 4 · 6 marksTry it