Free Grade 3 Working with Range Worksheets
Free Grade 3 worksheets for Working with Range: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with range
Explain working with range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range
Calculate working with range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range
Compare working with range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with range
Justify working with range 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 Range 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 5, 9, 10, 11, 14, find the mean, median, mode and range.[1]
- 2.For the data 8, 13, 13, 14, 17, find the mean, median, mode and range.[1]
- 3.For the data 7, 16, 17, 18, 19, find the mean, median, mode and range.[1]
- 4.For the data 8, 12, 14, 15, 18, find the mean, median, mode and range.[1]
- 5.For the data 3, 11, 16, 18, 21, 23, 26, find the mean, median, mode and range.[2]
- 6.For the data 14, 22, 26, 29, 31, 32, 34, find the mean, median, mode and range.[2]
- 7.For the data 3, 5, 13, 18, 29, 29, 40, find the mean, median, mode and range.[2]
- 8.For the data 10, 13, 19, 21, 23, 32, 32, find the mean, median, mode and range.[2]
- 9.For the data 4, 12, 15, 31, 33, 39, 48, 48, 50, find the mean, median, mode and range.[3]
- 10.For the data 1, 16, 27, 30, 43, 44, 44, 47, 49, find the mean, median, mode and range.[3]
- 11.For the data 14, 21, 33, 41, 42, 42, 52, 52, 54, find the mean, median, mode and range.[3]
- 12.For the data 7, 18, 19, 29, 35, 35, 38, 52, 54, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.8, median 10, mode none, range 9
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 14 − 5 = 9.
2. Mean 13, median 13, mode 13, range 9
Mean = 65 ÷ 5 = 13. Median = middle value in order = 13. Mode = most common = 13. Range = 17 − 8 = 9.
3. Mean 15.4, median 17, mode none, range 12
Mean = 77 ÷ 5 = 15.4. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 19 − 7 = 12.
4. Mean 13.4, median 14, mode none, range 10
Mean = 67 ÷ 5 = 13.4. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 18 − 8 = 10.
5. Mean 16.86, median 18, mode none, range 23
Mean = 118 ÷ 7 = 16.86. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 26 − 3 = 23.
6. Mean 26.86, median 29, mode none, range 20
Mean = 188 ÷ 7 = 26.86. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 34 − 14 = 20.
7. Mean 19.57, median 18, mode 29, range 37
Mean = 137 ÷ 7 = 19.57. Median = middle value in order = 18. Mode = most common = 29. Range = 40 − 3 = 37.
8. Mean 21.43, median 21, mode 32, range 22
Mean = 150 ÷ 7 = 21.43. Median = middle value in order = 21. Mode = most common = 32. Range = 32 − 10 = 22.
9. Mean 31.11, median 33, mode 48, range 46
Mean = 280 ÷ 9 = 31.11. Median = middle value in order = 33. Mode = most common = 48. Range = 50 − 4 = 46.
10. Mean 33.44, median 43, mode 44, range 48
Mean = 301 ÷ 9 = 33.44. Median = middle value in order = 43. Mode = most common = 44. Range = 49 − 1 = 48.
11. Mean 39, median 42, mode 42 and 52, range 40
Mean = 351 ÷ 9 = 39. Median = middle value in order = 42. Mode = most common = 42 and 52. Range = 54 − 14 = 40.
12. Mean 31.89, median 35, mode 35, range 47
Mean = 287 ÷ 9 = 31.89. Median = middle value in order = 35. Mode = most common = 35. Range = 54 − 7 = 47.
Worked examples
For the data 1, 15, 17, 17, 20, find the mean, median, mode and range.
- Mean = 70 ÷ 5 = 14.
- Median = middle value in order = 17.
- Mode = most common = 17.
- Range = 20 − 1 = 19.
- Answer: Mean 14, median 17, mode 17, range 19
For the data 1, 3, 6, 11, 16, 33, 38, find the mean, median, mode and range.
- Mean = 108 ÷ 7 = 15.43.
- Median = middle value in order = 11.
- Mode = most common = no repeated value.
- Range = 38 − 1 = 37.
- Answer: Mean 15.43, median 11, mode none, range 37
For the data 8, 18, 28, 36, 47, 51, 52, 58, 59, find the mean, median, mode and range.
- Mean = 357 ÷ 9 = 39.67.
- Median = middle value in order = 47.
- Mode = most common = no repeated value.
- Range = 59 − 8 = 51.
- Answer: Mean 39.67, median 47, mode none, range 51
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 Range
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
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Frequently asked
- Is this Grade 3 Working with Range 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 Range, Mode. 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 Range?
- Move on to Range in Context, Mean, Median, Mode, which build directly on this idea.
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