Free Grade 3 Working with Range Techniques Worksheets
Free Grade 3 worksheets 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
15 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 3, 7, 9, 10, 15, find the mean, median, mode and range.[1]
- 2.For the data 4, 4, 8, 10, 10, find the mean, median, mode and range.[1]
- 3.For the data 3, 6, 7, 14, 16, find the mean, median, mode and range.[1]
- 4.For the data 4, 4, 10, 17, 20, find the mean, median, mode and range.[1]
- 5.For the data 13, 15, 35, 35, 38, 38, 40, find the mean, median, mode and range.[2]
- 6.For the data 1, 2, 4, 6, 12, 24, 40, find the mean, median, mode and range.[2]
- 7.For the data 9, 10, 11, 22, 23, 36, 37, find the mean, median, mode and range.[2]
- 8.For the data 8, 14, 17, 20, 21, 21, 33, find the mean, median, mode and range.[2]
- 9.For the data 12, 26, 32, 37, 39, 40, 46, 53, 58, find the mean, median, mode and range.[3]
- 10.For the data 5, 18, 28, 29, 30, 37, 44, 47, 53, find the mean, median, mode and range.[3]
- 11.For the data 5, 13, 20, 34, 35, 40, 46, 54, 58, find the mean, median, mode and range.[3]
- 12.For the data 2, 10, 14, 26, 33, 34, 39, 57, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.8, median 9, mode none, range 12
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 15 − 3 = 12.
2. Mean 7.2, median 8, mode 4 and 10, range 6
Mean = 36 ÷ 5 = 7.2. Median = middle value in order = 8. Mode = most common = 4 and 10. Range = 10 − 4 = 6.
3. Mean 9.2, median 7, mode none, range 13
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 16 − 3 = 13.
4. Mean 11, median 10, mode 4, range 16
Mean = 55 ÷ 5 = 11. Median = middle value in order = 10. Mode = most common = 4. Range = 20 − 4 = 16.
5. Mean 30.57, median 35, mode 35 and 38, range 27
Mean = 214 ÷ 7 = 30.57. Median = middle value in order = 35. Mode = most common = 35 and 38. Range = 40 − 13 = 27.
6. Mean 12.71, median 6, mode none, range 39
Mean = 89 ÷ 7 = 12.71. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 40 − 1 = 39.
7. Mean 21.14, median 22, mode none, range 28
Mean = 148 ÷ 7 = 21.14. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 37 − 9 = 28.
8. Mean 19.14, median 20, mode 21, range 25
Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 20. Mode = most common = 21. Range = 33 − 8 = 25.
9. Mean 38.11, median 39, mode none, range 46
Mean = 343 ÷ 9 = 38.11. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 58 − 12 = 46.
10. Mean 32.33, median 30, mode none, range 48
Mean = 291 ÷ 9 = 32.33. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 53 − 5 = 48.
11. Mean 33.89, median 35, mode none, range 53
Mean = 305 ÷ 9 = 33.89. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 58 − 5 = 53.
12. Mean 30.56, median 33, mode none, range 58
Mean = 275 ÷ 9 = 30.56. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 60 − 2 = 58.
Worked examples
For the data 5, 8, 9, 9, 20, find the mean, median, mode and range.
- Mean = 51 ÷ 5 = 10.2.
- Median = middle value in order = 9.
- Mode = most common = 9.
- Range = 20 − 5 = 15.
- Answer: Mean 10.2, median 9, mode 9, range 15
For the data 9, 18, 20, 30, 33, 34, 35, find the mean, median, mode and range.
- Mean = 179 ÷ 7 = 25.57.
- Median = middle value in order = 30.
- Mode = most common = no repeated value.
- Range = 35 − 9 = 26.
- Answer: Mean 25.57, median 30, mode none, range 26
For the data 14, 22, 22, 27, 33, 34, 38, 43, 53, find the mean, median, mode and range.
- Mean = 286 ÷ 9 = 31.78.
- Median = middle value in order = 33.
- Mode = most common = 22.
- Range = 53 − 14 = 39.
- Answer: Mean 31.78, median 33, mode 22, range 39
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 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 Essentials, Introducing Range. 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 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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