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Mean, median, mode and range

Find the mean, median, mode and range of five numbers.

Practice + answer key · 2 pages

Worksheet settings8 questions · 2 columns · A4
Data values

Allow at least four distinct integers; each dataset contains five values and one unique mode.

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mathsprig-1
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Mean, median, mode and rangeMean, median, mode and range. Practice. Find the mean, median, mode, and range: 4, 9, 3, 1, 4. Find the mean, median, mode, and range: 4, 6, 2, 8, 8. Find the mean, median, mode, and range: 8, 9, 8, 6, 7. Find the mean, median, mode, and range: 12, 6, 6, 7, 9. Find the mean, median, mode, and range: 4, 9, 2, 2, 8. Find the mean, median, mode, and range: 4, 12, 12, 8, 10. Find the mean, median, mode, and range: 2, 1, 10, 5, 10. Find the mean, median, mode, and range: 7, 5, 8, 8, 3.Name __________________________Date _______________Mean, median, mode and rangeFind the mean, median, mode, and range.Worked exampleFind the mean, median, mode, and range of 2, 4, 7, 7, 10. → Mean = 6; median =7; mode = 7; range = 8Sum = 30, so mean = 30 ÷ 5 = 6.1.Find the mean, median, mode, andrange: 4, 9, 3, 1, 4.2.Find the mean, median, mode, andrange: 4, 6, 2, 8, 8.3.Find the mean, median, mode, andrange: 8, 9, 8, 6, 7.4.Find the mean, median, mode, andrange: 12, 6, 6, 7, 9.5.Find the mean, median, mode, andrange: 4, 9, 2, 2, 8.6.Find the mean, median, mode, andrange: 4, 12, 12, 8, 10.7.Find the mean, median, mode, andrange: 2, 1, 10, 5, 10.8.Find the mean, median, mode, andrange: 7, 5, 8, 8, 3.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · cbd8af20
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Practice + answer key · 2 pages

Measurement & data

What you’ll practice

Find mean, median, unique mode, and range for five values.

Each measure tells you something different about the list. Sort the values for the median, keep every value for the mean, and look for the one that appears most often.

How this skill works

The mean is the sum divided by the number of values. The median is the middle value after sorting.

The mode appears most often. The range is the greatest value minus the least.

Worked example

Find the mean, median, mode, and range of 2, 4, 7, 7, 10.
  1. Sum = 30, so mean = 30 ÷ 5 = 6.
  2. The sorted middle value is 7.
  3. 7 occurs twice; every other value occurs once. The mode is 7.
  4. Range = 10 − 2 = 8.

Answer: Mean = 6; median = 7; mode = 7; range = 8

Teaching notes

  • Do not divide the range by the number of values.
Practice questions
  1. Find the mean, median, mode, and range: 4, 9, 3, 1, 4.
  2. Find the mean, median, mode, and range: 4, 6, 2, 8, 8.
  3. Find the mean, median, mode, and range: 8, 9, 8, 6, 7.
  4. Find the mean, median, mode, and range: 12, 6, 6, 7, 9.
  5. Find the mean, median, mode, and range: 4, 9, 2, 2, 8.
  6. Find the mean, median, mode, and range: 4, 12, 12, 8, 10.
  7. Find the mean, median, mode, and range: 2, 1, 10, 5, 10.
  8. Find the mean, median, mode, and range: 7, 5, 8, 8, 3.
Answers and steps
  1. Mean = 4.2; median = 4; mode = 4; range = 8
    1. Sum = 21. Mean = 21 ÷ 5 = 4.2.
    2. Sorted data: 1, 3, 4, 4, 9. The middle value is 4.
    3. Only 4 appears twice; every other value appears once. Mode = 4.
    4. Range = 9 − 1 = 8.
  2. Mean = 5.6; median = 6; mode = 8; range = 6
    1. Sum = 28. Mean = 28 ÷ 5 = 5.6.
    2. Sorted data: 2, 4, 6, 8, 8. The middle value is 6.
    3. Only 8 appears twice; every other value appears once. Mode = 8.
    4. Range = 8 − 2 = 6.
  3. Mean = 7.6; median = 8; mode = 8; range = 3
    1. Sum = 38. Mean = 38 ÷ 5 = 7.6.
    2. Sorted data: 6, 7, 8, 8, 9. The middle value is 8.
    3. Only 8 appears twice; every other value appears once. Mode = 8.
    4. Range = 9 − 6 = 3.
  4. Mean = 8; median = 7; mode = 6; range = 6
    1. Sum = 40. Mean = 40 ÷ 5 = 8.
    2. Sorted data: 6, 6, 7, 9, 12. The middle value is 7.
    3. Only 6 appears twice; every other value appears once. Mode = 6.
    4. Range = 12 − 6 = 6.
  5. Mean = 5; median = 4; mode = 2; range = 7
    1. Sum = 25. Mean = 25 ÷ 5 = 5.
    2. Sorted data: 2, 2, 4, 8, 9. The middle value is 4.
    3. Only 2 appears twice; every other value appears once. Mode = 2.
    4. Range = 9 − 2 = 7.
  6. Mean = 9.2; median = 10; mode = 12; range = 8
    1. Sum = 46. Mean = 46 ÷ 5 = 9.2.
    2. Sorted data: 4, 8, 10, 12, 12. The middle value is 10.
    3. Only 12 appears twice; every other value appears once. Mode = 12.
    4. Range = 12 − 4 = 8.
  7. Mean = 5.6; median = 5; mode = 10; range = 9
    1. Sum = 28. Mean = 28 ÷ 5 = 5.6.
    2. Sorted data: 1, 2, 5, 10, 10. The middle value is 5.
    3. Only 10 appears twice; every other value appears once. Mode = 10.
    4. Range = 10 − 1 = 9.
  8. Mean = 6.2; median = 7; mode = 8; range = 5
    1. Sum = 31. Mean = 31 ÷ 5 = 6.2.
    2. Sorted data: 3, 5, 7, 8, 8. The middle value is 7.
    3. Only 8 appears twice; every other value appears once. Mode = 8.
    4. Range = 8 − 3 = 5.