Free Grade 3 Mode Worksheets
Free Grade 3 worksheets for 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
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify mode
Identify mode accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain mode
Explain mode accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate mode
Calculate mode accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare mode
Compare 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 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 2, 5, 11, 14, 17, find the mean, median, mode and range.[1]
- 2.For the data 1, 1, 5, 9, 20, find the mean, median, mode and range.[1]
- 3.For the data 1, 5, 8, 15, 18, find the mean, median, mode and range.[1]
- 4.For the data 1, 12, 12, 16, 18, find the mean, median, mode and range.[1]
- 5.For the data 8, 14, 19, 23, 23, 29, 33, find the mean, median, mode and range.[2]
- 6.For the data 8, 9, 14, 17, 23, 29, 38, find the mean, median, mode and range.[2]
- 7.For the data 11, 16, 22, 27, 28, 37, 39, find the mean, median, mode and range.[2]
- 8.For the data 1, 6, 14, 15, 36, 40, 40, find the mean, median, mode and range.[2]
- 9.For the data 7, 12, 30, 30, 32, 41, 45, 47, 52, find the mean, median, mode and range.[3]
- 10.For the data 4, 6, 8, 11, 21, 35, 37, 56, 57, find the mean, median, mode and range.[3]
- 11.For the data 3, 4, 24, 26, 28, 31, 39, 40, 57, find the mean, median, mode and range.[3]
- 12.For the data 5, 5, 32, 37, 38, 49, 49, 52, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.8, median 11, mode none, range 15
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 17 − 2 = 15.
2. Mean 7.2, median 5, mode 1, range 19
Mean = 36 ÷ 5 = 7.2. Median = middle value in order = 5. Mode = most common = 1. Range = 20 − 1 = 19.
3. Mean 9.4, median 8, mode none, range 17
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 18 − 1 = 17.
4. Mean 11.8, median 12, mode 12, range 17
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 12. Mode = most common = 12. Range = 18 − 1 = 17.
5. Mean 21.29, median 23, mode 23, range 25
Mean = 149 ÷ 7 = 21.29. Median = middle value in order = 23. Mode = most common = 23. Range = 33 − 8 = 25.
6. Mean 19.71, median 17, mode none, range 30
Mean = 138 ÷ 7 = 19.71. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 38 − 8 = 30.
7. Mean 25.71, median 27, mode none, range 28
Mean = 180 ÷ 7 = 25.71. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 39 − 11 = 28.
8. Mean 21.71, median 15, mode 40, range 39
Mean = 152 ÷ 7 = 21.71. Median = middle value in order = 15. Mode = most common = 40. Range = 40 − 1 = 39.
9. Mean 32.89, median 32, mode 30, range 45
Mean = 296 ÷ 9 = 32.89. Median = middle value in order = 32. Mode = most common = 30. Range = 52 − 7 = 45.
10. Mean 26.11, median 21, mode none, range 53
Mean = 235 ÷ 9 = 26.11. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 57 − 4 = 53.
11. Mean 28, median 28, mode none, range 54
Mean = 252 ÷ 9 = 28. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 57 − 3 = 54.
12. Mean 35.89, median 38, mode 5 and 49, range 51
Mean = 323 ÷ 9 = 35.89. Median = middle value in order = 38. Mode = most common = 5 and 49. Range = 56 − 5 = 51.
Worked examples
For the data 4, 6, 7, 10, 16, find the mean, median, mode and range.
- Mean = 43 ÷ 5 = 8.6.
- Median = middle value in order = 7.
- Mode = most common = no repeated value.
- Range = 16 − 4 = 12.
- Answer: Mean 8.6, median 7, mode none, range 12
For the data 1, 2, 17, 19, 21, 26, 37, find the mean, median, mode and range.
- Mean = 123 ÷ 7 = 17.57.
- Median = middle value in order = 19.
- Mode = most common = no repeated value.
- Range = 37 − 1 = 36.
- Answer: Mean 17.57, median 19, mode none, range 36
For the data 4, 5, 13, 18, 21, 23, 26, 48, 59, find the mean, median, mode and range.
- Mean = 217 ÷ 9 = 24.11.
- Median = middle value in order = 21.
- Mode = most common = no repeated value.
- Range = 59 − 4 = 55.
- Answer: Mean 24.11, median 21, mode none, range 55
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 Mode
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 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 Median, Mean, Measurement. 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 Mode?
- Move on to Range, Averages from Tables, Data Presentation, Data Collection, which build directly on this idea.
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