Free Grade 3 Range in Context Techniques Lessons
Free Grade 3 lessons for Range in Context 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 range in context techniques
Identify range in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain range in context techniques
Explain range in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate range in context techniques
Calculate range in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare range in context techniques
Compare range in context 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 Range in Context 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, 10, 15, 19, 20, find the mean, median, mode and range.[1]
- 2.For the data 1, 2, 6, 14, 17, find the mean, median, mode and range.[1]
- 3.For the data 3, 8, 9, 16, 20, find the mean, median, mode and range.[1]
- 4.For the data 4, 4, 6, 13, 14, find the mean, median, mode and range.[1]
- 5.For the data 10, 11, 11, 21, 36, 37, 38, find the mean, median, mode and range.[2]
- 6.For the data 2, 2, 9, 25, 29, 32, 36, find the mean, median, mode and range.[2]
- 7.For the data 9, 11, 15, 26, 28, 36, 36, find the mean, median, mode and range.[2]
- 8.For the data 1, 7, 11, 24, 25, 29, 36, find the mean, median, mode and range.[2]
- 9.For the data 3, 8, 8, 12, 12, 24, 36, 38, 59, find the mean, median, mode and range.[3]
- 10.For the data 4, 6, 7, 31, 36, 44, 50, 56, 57, find the mean, median, mode and range.[3]
- 11.For the data 7, 12, 14, 17, 20, 32, 42, 50, 54, find the mean, median, mode and range.[3]
- 12.For the data 2, 7, 7, 9, 15, 31, 37, 39, 55, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 13.2, median 15, mode none, range 18
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 20 − 2 = 18.
2. Mean 8, median 6, mode none, range 16
Mean = 40 ÷ 5 = 8. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 17 − 1 = 16.
3. Mean 11.2, median 9, mode none, range 17
Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 3 = 17.
4. Mean 8.2, median 6, mode 4, range 10
Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 6. Mode = most common = 4. Range = 14 − 4 = 10.
5. Mean 23.43, median 21, mode 11, range 28
Mean = 164 ÷ 7 = 23.43. Median = middle value in order = 21. Mode = most common = 11. Range = 38 − 10 = 28.
6. Mean 19.29, median 25, mode 2, range 34
Mean = 135 ÷ 7 = 19.29. Median = middle value in order = 25. Mode = most common = 2. Range = 36 − 2 = 34.
7. Mean 23, median 26, mode 36, range 27
Mean = 161 ÷ 7 = 23. Median = middle value in order = 26. Mode = most common = 36. Range = 36 − 9 = 27.
8. Mean 19, median 24, mode none, range 35
Mean = 133 ÷ 7 = 19. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 36 − 1 = 35.
9. Mean 22.22, median 12, mode 8 and 12, range 56
Mean = 200 ÷ 9 = 22.22. Median = middle value in order = 12. Mode = most common = 8 and 12. Range = 59 − 3 = 56.
10. Mean 32.33, median 36, mode none, range 53
Mean = 291 ÷ 9 = 32.33. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 57 − 4 = 53.
11. Mean 27.56, median 20, mode none, range 47
Mean = 248 ÷ 9 = 27.56. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 54 − 7 = 47.
12. Mean 22.44, median 15, mode 7, range 53
Mean = 202 ÷ 9 = 22.44. Median = middle value in order = 15. Mode = most common = 7. Range = 55 − 2 = 53.
Worked examples
For the data 2, 4, 10, 12, 20, find the mean, median, mode and range.
- Mean = 48 ÷ 5 = 9.6.
- Median = middle value in order = 10.
- Mode = most common = no repeated value.
- Range = 20 − 2 = 18.
- Answer: Mean 9.6, median 10, mode none, range 18
For the data 2, 20, 33, 33, 36, 38, 40, find the mean, median, mode and range.
- Mean = 202 ÷ 7 = 28.86.
- Median = middle value in order = 33.
- Mode = most common = 33.
- Range = 40 − 2 = 38.
- Answer: Mean 28.86, median 33, mode 33, range 38
For the data 2, 10, 10, 17, 28, 32, 33, 54, 59, find the mean, median, mode and range.
- Mean = 245 ÷ 9 = 27.22.
- Median = middle value in order = 28.
- Mode = most common = 10.
- Range = 59 − 2 = 57.
- Answer: Mean 27.22, median 28, mode 10, range 57
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 Range in Context 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 Range in Context Essentials, Working with 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 Range in Context Techniques?
- Move on to Range in Context Word Problems, Range in Context Common Errors, Introducing Range, Working with Range, which build directly on this idea.
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