Free Grade 3 Working with Range Techniques Lessons
Free Grade 3 lessons for Working with Range Techniques: 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with range techniques
Identify working with range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with range techniques
Explain working with range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range techniques
Calculate working with range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range techniques
Compare working with range techniques 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 Techniques 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, 3, 5, 8, 10, find the mean, median, mode and range.[1]
- 2.For the data 2, 10, 11, 13, 17, find the mean, median, mode and range.[1]
- 3.For the data 1, 7, 13, 13, 20, find the mean, median, mode and range.[1]
- 4.For the data 4, 9, 9, 13, 15, find the mean, median, mode and range.[1]
- 5.For the data 1, 1, 7, 17, 24, 24, 32, find the mean, median, mode and range.[2]
- 6.For the data 2, 13, 17, 22, 24, 29, 29, find the mean, median, mode and range.[2]
- 7.For the data 3, 3, 9, 24, 25, 28, 31, find the mean, median, mode and range.[2]
- 8.For the data 7, 10, 12, 19, 20, 29, 37, find the mean, median, mode and range.[2]
- 9.For the data 7, 12, 35, 35, 36, 41, 52, 56, 60, find the mean, median, mode and range.[3]
- 10.For the data 21, 22, 23, 24, 25, 32, 34, 34, 57, find the mean, median, mode and range.[3]
- 11.For the data 5, 10, 10, 17, 23, 30, 37, 39, 44, find the mean, median, mode and range.[3]
- 12.For the data 7, 17, 21, 25, 27, 32, 36, 46, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 5.6, median 5, mode none, range 8
Mean = 28 ÷ 5 = 5.6. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 10 − 2 = 8.
2. Mean 10.6, median 11, mode none, range 15
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 17 − 2 = 15.
3. Mean 10.8, median 13, mode 13, range 19
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 13. Mode = most common = 13. Range = 20 − 1 = 19.
4. Mean 10, median 9, mode 9, range 11
Mean = 50 ÷ 5 = 10. Median = middle value in order = 9. Mode = most common = 9. Range = 15 − 4 = 11.
5. Mean 15.14, median 17, mode 1 and 24, range 31
Mean = 106 ÷ 7 = 15.14. Median = middle value in order = 17. Mode = most common = 1 and 24. Range = 32 − 1 = 31.
6. Mean 19.43, median 22, mode 29, range 27
Mean = 136 ÷ 7 = 19.43. Median = middle value in order = 22. Mode = most common = 29. Range = 29 − 2 = 27.
7. Mean 17.57, median 24, mode 3, range 28
Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 24. Mode = most common = 3. Range = 31 − 3 = 28.
8. Mean 19.14, median 19, mode none, range 30
Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 37 − 7 = 30.
9. Mean 37.11, median 36, mode 35, range 53
Mean = 334 ÷ 9 = 37.11. Median = middle value in order = 36. Mode = most common = 35. Range = 60 − 7 = 53.
10. Mean 30.22, median 25, mode 34, range 36
Mean = 272 ÷ 9 = 30.22. Median = middle value in order = 25. Mode = most common = 34. Range = 57 − 21 = 36.
11. Mean 23.89, median 23, mode 10, range 39
Mean = 215 ÷ 9 = 23.89. Median = middle value in order = 23. Mode = most common = 10. Range = 44 − 5 = 39.
12. Mean 29.78, median 27, mode none, range 50
Mean = 268 ÷ 9 = 29.78. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 57 − 7 = 50.
Worked examples
For the data 3, 10, 13, 14, 20, find the mean, median, mode and range.
- Mean = 60 ÷ 5 = 12.
- Median = middle value in order = 13.
- Mode = most common = no repeated value.
- Range = 20 − 3 = 17.
- Answer: Mean 12, median 13, mode none, range 17
For the data 3, 3, 14, 15, 15, 29, 30, find the mean, median, mode and range.
- Mean = 109 ÷ 7 = 15.57.
- Median = middle value in order = 15.
- Mode = most common = 3 and 15.
- Range = 30 − 3 = 27.
- Answer: Mean 15.57, median 15, mode 3 and 15, range 27
For the data 6, 16, 22, 25, 36, 40, 44, 48, 60, find the mean, median, mode and range.
- Mean = 297 ÷ 9 = 33.
- Median = middle value in order = 36.
- Mode = most common = no repeated value.
- Range = 60 − 6 = 54.
- Answer: Mean 33, median 36, mode none, range 54
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.
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Frequently asked
- Is this Grade 3 Working with Range Techniques lesson really free?
- Yes. Every lessons 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 Essentials, Introducing Range. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Techniques?
- Move on to Working with Range Word Problems, Working with Range Common Errors, Introducing Range, Range in Context, which build directly on this idea.
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