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Mode Worksheet Generator

Generate free mode worksheets with one clear modal value in positive-only, negative-only, and mixed-sign integer data sets.

Verified answersGenerated with deterministic math
Free step-by-step lesson

Learn mode

The mode is the value that occurs most often in a data set. A set can have one mode, more than one mode, or no mode; these worksheets use one clear mode for focused practice.

By the end of this lesson

You will identify the most frequent value and handle data with no mode or more than one mode.

01

The idea in plain English

The mode is the value that appears most often. It is about frequency, not size or position.

A set can have one mode, several modes tied for most frequent, or no mode.

02

How to recognise this kind of question

  • The question says mode or most common value.
  • Values repeat in a data set.
  • You need to count occurrences.

Quick decision: Count each value; the greatest count identifies the mode.

03

The method

  1. Scan the data set and tally how often each value appears.
  2. Compare the frequencies rather than the numerical sizes of the values.
  3. Select the value with the greatest frequency.
  4. Check that no other value appears equally often.
04

Worked examples

Start here

Find the mode: −4, 7, −4, 2, 7, −4

  1. −4 appears three times.
  2. 7 appears twice, and 2 appears once.
  3. The value with the greatest frequency is −4.

Answer: −4

A little harder

Find the mode of 2, 2, 4, 4, 7.

  1. 2 appears twice and 4 appears twice.
  2. Both share the greatest frequency.

Answer: 2 and 4

05

Your turn—with help

Try it

Find the mode of 3, 5, 5, 5, 8, 8.

Need a hint?

Count how many times each value appears.

Show the answer and steps
  1. 3 appears once.
  2. 5 appears three times.
  3. 8 appears twice, so 5 appears most often.

Answer: 5

06

Watch out for this mistake

Incorrect: The mode of 2, 9, 9 is 9 because it is largest

Why it fails: The mode is determined by frequency, not size.

Do this instead: 9 is the mode because it appears twice.

07

Quick check

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

Question 1

Mode of 1, 2, 2, 4

Need a hint?

Look for the highest count.

Show the answer and steps
  1. 2 appears twice; the others appear once.

Answer: 2

Question 2

Mode of 3, 4, 5

Need a hint?

Do any values repeat?

Show the answer and steps
  1. Each value appears once, so none occurs more often.

Answer: No mode

Question 3

Mode of 6, 6, 7, 7, 8

Need a hint?

A tie can create two modes.

Show the answer and steps
  1. 6 and 7 each appear twice.

Answer: 6 and 7

Remember thisMode means most often.

Common mistakes

  • Choosing the largest number instead of the most frequent number.
  • Ignoring negative values while counting repetitions.
  • Choosing how many times a value appears rather than the value itself.
  • Stopping after finding the first repeated value without comparing all frequencies.

Practice tips

  • Sort the values first when repetitions are difficult to spot.
  • Use tally marks for longer data sets.
  • Circle every occurrence of the suspected mode before answering.
Free printable practice

Now practise what you learned.

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20 verified problemsSeed 482731
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Worksheet #482731
Statistics practice

Mode

Name Date

Find the mode of each data set.

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