Free Grade 3 Introducing Range Techniques Worksheets
Free Grade 3 worksheets for Introducing 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
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing range techniques
Identify introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing range techniques
Explain introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing range techniques
Calculate introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing range techniques
Compare introducing 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 Introducing 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 1, 2, 14, 15, 18, find the mean, median, mode and range.[1]
- 2.For the data 1, 10, 13, 16, 17, find the mean, median, mode and range.[1]
- 3.For the data 4, 7, 15, 17, 17, find the mean, median, mode and range.[1]
- 4.For the data 5, 11, 14, 17, 19, find the mean, median, mode and range.[1]
- 5.For the data 1, 4, 7, 18, 21, 31, 31, find the mean, median, mode and range.[2]
- 6.For the data 7, 7, 11, 18, 24, 27, 37, find the mean, median, mode and range.[2]
- 7.For the data 6, 7, 14, 19, 21, 22, 29, find the mean, median, mode and range.[2]
- 8.For the data 2, 12, 22, 22, 23, 27, 34, find the mean, median, mode and range.[2]
- 9.For the data 3, 4, 9, 16, 22, 34, 38, 43, 57, find the mean, median, mode and range.[3]
- 10.For the data 1, 3, 18, 22, 28, 50, 53, 57, 59, find the mean, median, mode and range.[3]
- 11.For the data 11, 27, 37, 39, 40, 53, 54, 56, 57, find the mean, median, mode and range.[3]
- 12.For the data 5, 13, 32, 33, 34, 43, 44, 51, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10, median 14, mode none, range 17
Mean = 50 ÷ 5 = 10. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 18 − 1 = 17.
2. Mean 11.4, median 13, mode none, range 16
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 17 − 1 = 16.
3. Mean 12, median 15, mode 17, range 13
Mean = 60 ÷ 5 = 12. Median = middle value in order = 15. Mode = most common = 17. Range = 17 − 4 = 13.
4. Mean 13.2, median 14, mode none, range 14
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 19 − 5 = 14.
5. Mean 16.14, median 18, mode 31, range 30
Mean = 113 ÷ 7 = 16.14. Median = middle value in order = 18. Mode = most common = 31. Range = 31 − 1 = 30.
6. Mean 18.71, median 18, mode 7, range 30
Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 18. Mode = most common = 7. Range = 37 − 7 = 30.
7. Mean 16.86, median 19, mode none, range 23
Mean = 118 ÷ 7 = 16.86. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 29 − 6 = 23.
8. Mean 20.29, median 22, mode 22, range 32
Mean = 142 ÷ 7 = 20.29. Median = middle value in order = 22. Mode = most common = 22. Range = 34 − 2 = 32.
9. Mean 25.11, median 22, mode none, range 54
Mean = 226 ÷ 9 = 25.11. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 57 − 3 = 54.
10. Mean 32.33, median 28, mode none, range 58
Mean = 291 ÷ 9 = 32.33. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 59 − 1 = 58.
11. Mean 41.56, median 40, mode none, range 46
Mean = 374 ÷ 9 = 41.56. Median = middle value in order = 40. Mode = most common = no repeated value. Range = 57 − 11 = 46.
12. Mean 34.56, median 34, mode none, range 51
Mean = 311 ÷ 9 = 34.56. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 56 − 5 = 51.
Worked examples
For the data 2, 11, 14, 18, 18, find the mean, median, mode and range.
- Mean = 63 ÷ 5 = 12.6.
- Median = middle value in order = 14.
- Mode = most common = 18.
- Range = 18 − 2 = 16.
- Answer: Mean 12.6, median 14, mode 18, range 16
For the data 4, 5, 5, 12, 21, 39, 40, find the mean, median, mode and range.
- Mean = 126 ÷ 7 = 18.
- Median = middle value in order = 12.
- Mode = most common = 5.
- Range = 40 − 4 = 36.
- Answer: Mean 18, median 12, mode 5, range 36
For the data 2, 3, 24, 36, 42, 45, 49, 52, 53, find the mean, median, mode and range.
- Mean = 306 ÷ 9 = 34.
- Median = middle value in order = 42.
- Mode = most common = no repeated value.
- Range = 53 − 2 = 51.
- Answer: Mean 34, median 42, 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
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Frequently asked
- Is this Grade 3 Introducing 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 Introducing Range Essentials, 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 Introducing Range Techniques?
- Move on to Introducing Range Word Problems, Introducing Range Common Errors, Working with Range, Range in Context, which build directly on this idea.
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