Free Grade 3 Range in Context Worksheets
Free Grade 3 worksheets for Range 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify range in context
Identify range in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain range in context
Explain range in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate range in context
Calculate range in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare range in context
Compare range 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 Range 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 4, 6, 7, 8, 18, find the mean, median, mode and range.[1]
- 2.For the data 2, 3, 7, 15, 15, find the mean, median, mode and range.[1]
- 3.For the data 1, 10, 16, 19, 20, find the mean, median, mode and range.[1]
- 4.For the data 2, 2, 7, 16, 20, find the mean, median, mode and range.[1]
- 5.For the data 6, 20, 25, 28, 28, 29, 31, find the mean, median, mode and range.[2]
- 6.For the data 7, 8, 9, 18, 29, 31, 34, find the mean, median, mode and range.[2]
- 7.For the data 1, 11, 12, 14, 29, 31, 35, find the mean, median, mode and range.[2]
- 8.For the data 1, 12, 18, 23, 34, 37, 38, find the mean, median, mode and range.[2]
- 9.For the data 1, 4, 8, 15, 18, 22, 34, 42, 55, find the mean, median, mode and range.[3]
- 10.For the data 5, 16, 29, 32, 39, 40, 45, 55, 59, find the mean, median, mode and range.[3]
- 11.For the data 1, 9, 10, 21, 25, 28, 35, 44, 46, find the mean, median, mode and range.[3]
- 12.For the data 1, 4, 11, 14, 35, 46, 53, 55, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.6, median 7, mode none, range 14
Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 18 − 4 = 14.
2. Mean 8.4, median 7, mode 15, range 13
Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 7. Mode = most common = 15. Range = 15 − 2 = 13.
3. Mean 13.2, median 16, mode none, range 19
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 20 − 1 = 19.
4. Mean 9.4, median 7, mode 2, range 18
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 7. Mode = most common = 2. Range = 20 − 2 = 18.
5. Mean 23.86, median 28, mode 28, range 25
Mean = 167 ÷ 7 = 23.86. Median = middle value in order = 28. Mode = most common = 28. Range = 31 − 6 = 25.
6. Mean 19.43, median 18, mode none, range 27
Mean = 136 ÷ 7 = 19.43. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 34 − 7 = 27.
7. Mean 19, median 14, mode none, range 34
Mean = 133 ÷ 7 = 19. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 35 − 1 = 34.
8. Mean 23.29, median 23, mode none, range 37
Mean = 163 ÷ 7 = 23.29. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 38 − 1 = 37.
9. Mean 22.11, median 18, mode none, range 54
Mean = 199 ÷ 9 = 22.11. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 55 − 1 = 54.
10. Mean 35.56, median 39, mode none, range 54
Mean = 320 ÷ 9 = 35.56. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 59 − 5 = 54.
11. Mean 24.33, median 25, mode none, range 45
Mean = 219 ÷ 9 = 24.33. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 46 − 1 = 45.
12. Mean 30.67, median 35, mode none, range 56
Mean = 276 ÷ 9 = 30.67. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 57 − 1 = 56.
Worked examples
For the data 2, 9, 10, 10, 14, find the mean, median, mode and range.
- Mean = 45 ÷ 5 = 9.
- Median = middle value in order = 10.
- Mode = most common = 10.
- Range = 14 − 2 = 12.
- Answer: Mean 9, median 10, mode 10, range 12
For the data 1, 2, 7, 17, 32, 34, 34, find the mean, median, mode and range.
- Mean = 127 ÷ 7 = 18.14.
- Median = middle value in order = 17.
- Mode = most common = 34.
- Range = 34 − 1 = 33.
- Answer: Mean 18.14, median 17, mode 34, range 33
For the data 2, 4, 20, 22, 28, 38, 44, 60, 60, find the mean, median, mode and range.
- Mean = 278 ÷ 9 = 30.89.
- Median = middle value in order = 28.
- Mode = most common = 60.
- Range = 60 − 2 = 58.
- Answer: Mean 30.89, median 28, mode 60, range 58
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 Range in Context
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Next topics
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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 Range 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 Range, 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 Range in Context?
- Move on to Mean, Median, Mode, Averages from Tables, which build directly on this idea.
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