Free Grade 3 Introduction to Introducing Range Techniques Worksheets
Free Grade 3 worksheets for Introduction to 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introduction to introducing range techniques
Identify introduction to introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introduction to introducing range techniques
Explain introduction to introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to introducing range techniques
Calculate introduction to introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to introducing range techniques
Compare introduction to 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 Introduction to 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 9, 9, 15, 15, 20, find the mean, median, mode and range.[1]
- 2.For the data 2, 6, 10, 18, 19, find the mean, median, mode and range.[1]
- 3.For the data 6, 13, 15, 16, 18, find the mean, median, mode and range.[1]
- 4.For the data 4, 5, 14, 17, 19, find the mean, median, mode and range.[1]
- 5.For the data 4, 4, 9, 11, 18, 23, 29, find the mean, median, mode and range.[2]
- 6.For the data 2, 4, 6, 7, 10, 28, 38, find the mean, median, mode and range.[2]
- 7.For the data 3, 7, 8, 12, 12, 13, 30, find the mean, median, mode and range.[2]
- 8.For the data 2, 8, 17, 19, 29, 36, 36, find the mean, median, mode and range.[2]
- 9.For the data 1, 8, 19, 21, 31, 38, 51, 52, 56, find the mean, median, mode and range.[3]
- 10.For the data 10, 11, 13, 15, 26, 28, 34, 43, 51, find the mean, median, mode and range.[3]
- 11.For the data 4, 20, 23, 26, 28, 44, 45, 48, 50, find the mean, median, mode and range.[3]
- 12.For the data 1, 6, 15, 28, 32, 47, 55, 60, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 13.6, median 15, mode 9 and 15, range 11
Mean = 68 ÷ 5 = 13.6. Median = middle value in order = 15. Mode = most common = 9 and 15. Range = 20 − 9 = 11.
2. Mean 11, median 10, mode none, range 17
Mean = 55 ÷ 5 = 11. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 19 − 2 = 17.
3. Mean 13.6, median 15, mode none, range 12
Mean = 68 ÷ 5 = 13.6. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 18 − 6 = 12.
4. Mean 11.8, median 14, mode none, range 15
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 19 − 4 = 15.
5. Mean 14, median 11, mode 4, range 25
Mean = 98 ÷ 7 = 14. Median = middle value in order = 11. Mode = most common = 4. Range = 29 − 4 = 25.
6. Mean 13.57, median 7, mode none, range 36
Mean = 95 ÷ 7 = 13.57. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 38 − 2 = 36.
7. Mean 12.14, median 12, mode 12, range 27
Mean = 85 ÷ 7 = 12.14. Median = middle value in order = 12. Mode = most common = 12. Range = 30 − 3 = 27.
8. Mean 21, median 19, mode 36, range 34
Mean = 147 ÷ 7 = 21. Median = middle value in order = 19. Mode = most common = 36. Range = 36 − 2 = 34.
9. Mean 30.78, median 31, mode none, range 55
Mean = 277 ÷ 9 = 30.78. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 56 − 1 = 55.
10. Mean 25.67, median 26, mode none, range 41
Mean = 231 ÷ 9 = 25.67. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 51 − 10 = 41.
11. Mean 32, median 28, mode none, range 46
Mean = 288 ÷ 9 = 32. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 50 − 4 = 46.
12. Mean 33.78, median 32, mode 60, range 59
Mean = 304 ÷ 9 = 33.78. Median = middle value in order = 32. Mode = most common = 60. Range = 60 − 1 = 59.
Worked examples
For the data 7, 12, 12, 15, 17, find the mean, median, mode and range.
- Mean = 63 ÷ 5 = 12.6.
- Median = middle value in order = 12.
- Mode = most common = 12.
- Range = 17 − 7 = 10.
- Answer: Mean 12.6, median 12, mode 12, range 10
For the data 1, 4, 12, 26, 29, 30, 33, find the mean, median, mode and range.
- Mean = 135 ÷ 7 = 19.29.
- Median = middle value in order = 26.
- Mode = most common = no repeated value.
- Range = 33 − 1 = 32.
- Answer: Mean 19.29, median 26, mode none, range 32
For the data 2, 2, 11, 21, 25, 28, 33, 54, 55, find the mean, median, mode and range.
- Mean = 231 ÷ 9 = 25.67.
- Median = middle value in order = 25.
- Mode = most common = 2.
- Range = 55 − 2 = 53.
- Answer: Mean 25.67, median 25, mode 2, range 53
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.
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Frequently asked
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- 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. 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 Introduction to Introducing Range Techniques?
- Move on to Key Vocabulary of Introducing Range Techniques, Rules and Methods in Introducing Range Techniques, Working with Introducing Range Techniques, Introducing Range Techniques in Examinations, which build directly on this idea.
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