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Mean, Median and Mode Worksheets With Answers

Generate printable mean, median, mode, range and standard deviation worksheets with 12 questions and step-by-step worked answers.

Work through data sets rather than learning one fixed answer. These free worksheets cover arithmetic mean, median, mode, range, sum and population standard deviation. Problems use several observations with different distributions, and the advanced sheets ask you to compute dispersion as well as central tendency. The generator supplies a worked answer key you can display or print separately.

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Printable math practice worksheet — x̄

Difficulty: Easy · Mihsaba.com

  1. Find the arithmetic mean of: 2 · 8 · 5 · 8 · 7
  2. Find the median of: 9 · 5 · 10 · 4 · 4
  3. Find the range of: 10 · 12 · 7 · 8 · 2
  4. Find the mode of: 10 · 5 · 1 · 6 · 10
  5. Find the sum of: 4 · 8 · 6 · 1 · 9
  6. Find the population standard deviation (round to 2 decimals): 8 · 9 · 10 · 6 · 2
  7. Find the arithmetic mean of: 3 · 9 · 11 · 6 · 9
  8. Find the median of: 1 · 12 · 5 · 9 · 10
  9. Find the range of: 8 · 5 · 2 · 8 · 2
  10. Find the mode of: 4 · 7 · 1 · 6 · 4
  11. Find the sum of: 6 · 10 · 9 · 3 · 9
  12. Find the population standard deviation (round to 2 decimals): 5 · 2 · 7 · 12 · 8

Formulas to remember

Mean = sum ÷ count; median = middle value after sorting; range = maximum − minimum; population standard deviation = √[Σ(value − mean)² ÷ count].

How to use this worksheet generator

  1. Choose a difficulty level to control dataset size and values.
  2. Work through all twelve questions on mean, median, mode, range, sum and dispersion.
  3. Reveal the worked answer key only after attempting the questions.
  4. Generate another sheet or print a copy for classroom practice.

Check your answers

A distribution may have more than one mode when multiple values tie for the highest frequency. With no repeats there is no mode. Standard deviation here describes a population, not a sample estimate.

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