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Mean Worksheet Generator

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Learn mean

The mean is the arithmetic average of a data set. It represents an equal-share value found by combining every value and dividing by the number of values.

By the end of this lesson

You will calculate the mean and decide when it is a useful summary.

Review first if you need it: Order of Operations
01

The idea in plain English

The mean is the equal-share average. Imagine pooling all the values, then sharing the total evenly.

One unusually large or small value can pull the mean toward it.

02

How to recognise this kind of question

  • The question says mean or average.
  • You have a list of numerical values.
  • You need one number that balances the data.

Quick decision: Add every value, then divide by how many values there are.

03

The method

  1. Add every value in the data set, carefully preserving negative signs.
  2. Count how many values are in the set.
  3. Divide the total by the number of values.
  4. Check that the mean is reasonable compared with the values in the set.
04

Worked examples

Start here

Find the mean: −6, 2, 7, 9

  1. Add the values: −6 + 2 + 7 + 9 = 12.
  2. There are 4 values.
  3. Divide: 12 ÷ 4 = 3.

Answer: 3

A little harder

Find the mean of 4, 6, 8, 22.

  1. Add: 4 + 6 + 8 + 22 = 40.
  2. There are 4 values, so 40 ÷ 4 = 10.
  3. Notice that 22 pulls the mean upward.

Answer: 10

05

Your turn—with help

Try it

Find the mean of 5, 7, 7, 9.

Need a hint?

Count the values as well as adding them.

Show the answer and steps
  1. Add: 5 + 7 + 7 + 9 = 28.
  2. Count 4 values.
  3. 28 ÷ 4 = 7.

Answer: 7

06

Watch out for this mistake

Incorrect: Mean of 2, 5, 8 is 15

Why it fails: 15 is only the total; it has not been shared among the three values.

Do this instead: Divide 15 by 3 to get a mean of 5.

07

Quick check

Try these without looking. Then open each answer to check your thinking.

Question 1

Mean of 2, 4, 6

Need a hint?

Add, then divide by 3.

Show the answer and steps
  1. 2 + 4 + 6 = 12.
  2. 12 ÷ 3 = 4.

Answer: 4

Question 2

Mean of 10, 10, 14, 18

Need a hint?

There are 4 values.

Show the answer and steps
  1. Total = 52.
  2. 52 ÷ 4 = 13.

Answer: 13

Question 3

Mean of 3, 7

Need a hint?

Two values share their total.

Show the answer and steps
  1. 3 + 7 = 10.
  2. 10 ÷ 2 = 5.

Answer: 5

Remember thisMean = total ÷ number of values.

Common mistakes

  • Dividing before all values have been added.
  • Forgetting to include a negative sign in the total.
  • Dividing by the range instead of the number of values.
  • Counting a repeated value only once.

Practice tips

  • Pair positive and negative values that combine conveniently.
  • Write the sum and count on separate lines before dividing.
  • Estimate the answer before calculating to catch sign errors.
Free printable practice

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20 verified problemsSeed 482731
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Worksheet #482731
Statistics practice

Mean

Name Date

Find the mean of each data set.

  1. −29, −18, −11, −24, −13
  2. −3, 23, −1, 25, 8, −10, −21
  3. 14, 19, 8, 1, 9, 3
  4. −15, −18, −9, −26
  5. 19, −13, 22, 8
  6. 18, 17, 30, 2, 28, 29, 16
  7. −18, −9, −17, −28
  8. −3, 8, 4, 3
  9. 10, 26, 12, 4
  10. −29, −2, −23, −1, −18, −11, −7
  11. −23, −14, 19, −15, 2, −5, 8
  12. 9, 27, 29, 4, 26, 11, 13
  13. −24, −17, −25, −18, −2, −8, −11
  14. 11, −9, −21, 10, −1
  15. 26, 18, 9, 5, 22, 23, 16
  16. −18, −30, −27, −29
  17. 26, −9, −17, −8
  18. 30, 10, 3, 13, 19, 9, 7
  19. −23, −28, −18, −7, −3, −1, −11
  20. 11, 6, 22, −19, −10
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