Free Grade 3 Working with Mode Worksheets
Free Grade 3 worksheets for Working with Mode: 12 real questions with a full answer key and worked solutions. The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.
Free
Stretch
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with mode
Explain working with mode accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with mode
Calculate working with mode accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with mode
Compare working with mode accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with mode
Justify working with mode accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Working with Mode works
The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.For the data 6, 7, 12, 13, 16, find the mean, median, mode and range.[1]
- 2.For the data 1, 7, 10, 16, 17, find the mean, median, mode and range.[1]
- 3.For the data 4, 9, 10, 13, 15, find the mean, median, mode and range.[1]
- 4.For the data 2, 5, 8, 15, 19, find the mean, median, mode and range.[1]
- 5.For the data 6, 27, 28, 31, 33, 33, 40, find the mean, median, mode and range.[2]
- 6.For the data 11, 17, 18, 27, 28, 35, 38, find the mean, median, mode and range.[2]
- 7.For the data 5, 7, 19, 19, 25, 28, 34, find the mean, median, mode and range.[2]
- 8.For the data 11, 24, 28, 30, 36, 39, 39, find the mean, median, mode and range.[2]
- 9.For the data 5, 9, 17, 18, 20, 40, 55, 57, 58, find the mean, median, mode and range.[3]
- 10.For the data 9, 12, 20, 35, 53, 53, 54, 56, 59, find the mean, median, mode and range.[3]
- 11.For the data 1, 4, 4, 13, 17, 18, 20, 40, 47, find the mean, median, mode and range.[3]
- 12.For the data 10, 22, 24, 29, 30, 38, 53, 56, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.8, median 12, mode none, range 10
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 16 − 6 = 10.
2. Mean 10.2, median 10, mode none, range 16
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 17 − 1 = 16.
3. Mean 10.2, median 10, mode none, range 11
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 15 − 4 = 11.
4. Mean 9.8, median 8, mode none, range 17
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 19 − 2 = 17.
5. Mean 28.29, median 31, mode 33, range 34
Mean = 198 ÷ 7 = 28.29. Median = middle value in order = 31. Mode = most common = 33. Range = 40 − 6 = 34.
6. Mean 24.86, median 27, mode none, range 27
Mean = 174 ÷ 7 = 24.86. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 38 − 11 = 27.
7. Mean 19.57, median 19, mode 19, range 29
Mean = 137 ÷ 7 = 19.57. Median = middle value in order = 19. Mode = most common = 19. Range = 34 − 5 = 29.
8. Mean 29.57, median 30, mode 39, range 28
Mean = 207 ÷ 7 = 29.57. Median = middle value in order = 30. Mode = most common = 39. Range = 39 − 11 = 28.
9. Mean 31, median 20, mode none, range 53
Mean = 279 ÷ 9 = 31. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 58 − 5 = 53.
10. Mean 39, median 53, mode 53, range 50
Mean = 351 ÷ 9 = 39. Median = middle value in order = 53. Mode = most common = 53. Range = 59 − 9 = 50.
11. Mean 18.22, median 17, mode 4, range 46
Mean = 164 ÷ 9 = 18.22. Median = middle value in order = 17. Mode = most common = 4. Range = 47 − 1 = 46.
12. Mean 35.67, median 30, mode none, range 49
Mean = 321 ÷ 9 = 35.67. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 59 − 10 = 49.
Worked examples
For the data 5, 9, 9, 17, 18, find the mean, median, mode and range.
- Mean = 58 ÷ 5 = 11.6.
- Median = middle value in order = 9.
- Mode = most common = 9.
- Range = 18 − 5 = 13.
- Answer: Mean 11.6, median 9, mode 9, range 13
For the data 11, 27, 31, 32, 33, 34, 37, find the mean, median, mode and range.
- Mean = 205 ÷ 7 = 29.29.
- Median = middle value in order = 32.
- Mode = most common = no repeated value.
- Range = 37 − 11 = 26.
- Answer: Mean 29.29, median 32, mode none, range 26
For the data 11, 16, 29, 40, 43, 49, 51, 54, 55, find the mean, median, mode and range.
- Mean = 348 ÷ 9 = 38.67.
- Median = middle value in order = 43.
- Mode = most common = no repeated value.
- Range = 55 − 11 = 44.
- Answer: Mean 38.67, median 43, mode none, range 44
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Finds the median without ordering the data.
Correction: Always put the numbers in order first.
Gives the range as the two end numbers.
Correction: Range is one number: largest minus smallest.
Teacher tips
- · Collect real class data (heights, shoe sizes).
Parent tips
- · Work out your average bedtime over a week.
Real-life applications
- · Sports averages, typical prices, test scores.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Working with Mode
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Frequently asked
- Is this Grade 3 Working with Mode worksheet really free?
- Yes. Every worksheets on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Introducing Mode, Median. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Working with Mode?
- Move on to Mode in Context, Mean, Median, Range, which build directly on this idea.
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