Free Grade 3 Mode in Context Worksheets
Free Grade 3 worksheets for Mode in Context: 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 in context
Identify mode in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain mode in context
Explain mode in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate mode in context
Calculate mode in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare mode in context
Compare mode in context 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 in Context 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 3, 3, 6, 8, 10, find the mean, median, mode and range.[1]
- 2.For the data 10, 11, 14, 14, 18, find the mean, median, mode and range.[1]
- 3.For the data 1, 5, 6, 11, 16, find the mean, median, mode and range.[1]
- 4.For the data 4, 4, 11, 13, 14, find the mean, median, mode and range.[1]
- 5.For the data 4, 12, 14, 18, 24, 35, 35, find the mean, median, mode and range.[2]
- 6.For the data 13, 14, 31, 34, 35, 38, 39, find the mean, median, mode and range.[2]
- 7.For the data 8, 9, 17, 28, 29, 31, 35, find the mean, median, mode and range.[2]
- 8.For the data 1, 5, 6, 13, 17, 19, 39, find the mean, median, mode and range.[2]
- 9.For the data 1, 3, 6, 8, 23, 33, 40, 51, 60, find the mean, median, mode and range.[3]
- 10.For the data 3, 8, 13, 19, 37, 46, 51, 57, 58, find the mean, median, mode and range.[3]
- 11.For the data 6, 13, 19, 24, 32, 44, 48, 55, 60, find the mean, median, mode and range.[3]
- 12.For the data 5, 14, 32, 35, 39, 41, 55, 55, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 6, median 6, mode 3, range 7
Mean = 30 ÷ 5 = 6. Median = middle value in order = 6. Mode = most common = 3. Range = 10 − 3 = 7.
2. Mean 13.4, median 14, mode 14, range 8
Mean = 67 ÷ 5 = 13.4. Median = middle value in order = 14. Mode = most common = 14. Range = 18 − 10 = 8.
3. Mean 7.8, median 6, mode none, range 15
Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 16 − 1 = 15.
4. Mean 9.2, median 11, mode 4, range 10
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 11. Mode = most common = 4. Range = 14 − 4 = 10.
5. Mean 20.29, median 18, mode 35, range 31
Mean = 142 ÷ 7 = 20.29. Median = middle value in order = 18. Mode = most common = 35. Range = 35 − 4 = 31.
6. Mean 29.14, median 34, mode none, range 26
Mean = 204 ÷ 7 = 29.14. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 39 − 13 = 26.
7. Mean 22.43, median 28, mode none, range 27
Mean = 157 ÷ 7 = 22.43. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 35 − 8 = 27.
8. Mean 14.29, median 13, mode none, range 38
Mean = 100 ÷ 7 = 14.29. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 39 − 1 = 38.
9. Mean 25, median 23, mode none, range 59
Mean = 225 ÷ 9 = 25. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 60 − 1 = 59.
10. Mean 32.44, median 37, mode none, range 55
Mean = 292 ÷ 9 = 32.44. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 58 − 3 = 55.
11. Mean 33.44, median 32, mode none, range 54
Mean = 301 ÷ 9 = 33.44. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 60 − 6 = 54.
12. Mean 37.22, median 39, mode 55, range 54
Mean = 335 ÷ 9 = 37.22. Median = middle value in order = 39. Mode = most common = 55. Range = 59 − 5 = 54.
Worked examples
For the data 8, 11, 11, 11, 12, find the mean, median, mode and range.
- Mean = 53 ÷ 5 = 10.6.
- Median = middle value in order = 11.
- Mode = most common = 11.
- Range = 12 − 8 = 4.
- Answer: Mean 10.6, median 11, mode 11, range 4
For the data 7, 11, 21, 21, 29, 36, 37, find the mean, median, mode and range.
- Mean = 162 ÷ 7 = 23.14.
- Median = middle value in order = 21.
- Mode = most common = 21.
- Range = 37 − 7 = 30.
- Answer: Mean 23.14, median 21, mode 21, range 30
For the data 19, 22, 26, 32, 34, 34, 36, 44, 49, find the mean, median, mode and range.
- Mean = 296 ÷ 9 = 32.89.
- Median = middle value in order = 34.
- Mode = most common = 34.
- Range = 49 − 19 = 30.
- Answer: Mean 32.89, median 34, mode 34, range 30
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 in Context
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Learn — Meet the idea.
Practice — Build fluency.
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Frequently asked
- Is this Grade 3 Mode in Context 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 Working with Mode, 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 Mode in Context?
- Move on to Mean, Median, Range, Averages from Tables, which build directly on this idea.
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