AQA · Mathematics · 8300

GCSE Maths: Averages: mean (frequency table)

Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise, practice questions and answers for Averages: mean (frequency table) (Corbettmaths Video 54), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.

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  1. What is the formula for calculating the mean from a frequency table?

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    Sum of (value × frequency) divided by the total frequency. Or: Σ(x·f) ÷ Σf

  2. When calculating mean from a frequency table, what does the total frequency represent?

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    The total number of data values or observations (the sum of all the frequencies).

  3. When finding a missing frequency in a frequency table given the mean, what equation do you set up?

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    Mean = Σ(value × frequency) ÷ total frequency. Substitute the known mean and solve for the unknown frequency.

  4. What is the first step to find the mean number of tickets per game from a frequency table?

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    Calculate the total number of tickets won by multiplying each number of tickets by its frequency and summing the results.

  5. If you know the total number of visits (160) and the frequencies for all visits except one, how do you find the missing frequency?

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    Set up the equation: Σ(visits × frequency) = 160, then solve for the unknown frequency using the given information.

  6. Why might you need to calculate the mean before finding a percentage of students above the mean?

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    You must first calculate the mean to establish the threshold value, then count how many students scored above it.

  7. What is the modal value in a frequency table?

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    The value with the highest frequency.

  8. How do you find the median from a frequency table?

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    Find the position of the middle value (n+1)/2 where n is the total frequency, then locate which value corresponds to that cumulative position.

  9. To find the mean from a frequency table, divide Σ(fx) by ?.

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    Σf

  10. What does Σ(fx) represent in frequency table calculations?

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    The sum of each value multiplied by its frequency.

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