Free Grade 3 Range in Context Word Problems Lessons
Free Grade 3 lessons for Range in Context Word Problems: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify range in context word problems
Identify range in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain range in context word problems
Explain range in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate range in context word problems
Calculate range in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare range in context word problems
Compare range in context word problems 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 Word Problems 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 5, 6, 8, 10, 17, find the mean, median, mode and range.[1]
- 2.For the data 1, 5, 10, 13, 18, find the mean, median, mode and range.[1]
- 3.For the data 2, 3, 5, 6, 18, find the mean, median, mode and range.[1]
- 4.For the data 10, 10, 15, 15, 17, find the mean, median, mode and range.[1]
- 5.For the data 5, 10, 10, 15, 22, 28, 35, find the mean, median, mode and range.[2]
- 6.For the data 3, 6, 14, 18, 19, 27, 34, find the mean, median, mode and range.[2]
- 7.For the data 22, 24, 25, 27, 35, 35, 39, find the mean, median, mode and range.[2]
- 8.For the data 5, 10, 11, 21, 22, 30, 30, find the mean, median, mode and range.[2]
- 9.For the data 5, 10, 18, 22, 29, 38, 48, 53, 57, find the mean, median, mode and range.[3]
- 10.For the data 2, 8, 11, 22, 29, 35, 36, 49, 56, find the mean, median, mode and range.[3]
- 11.For the data 10, 17, 22, 30, 37, 54, 56, 57, 60, find the mean, median, mode and range.[3]
- 12.For the data 8, 12, 13, 23, 24, 32, 39, 48, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.2, median 8, mode none, range 12
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 17 − 5 = 12.
2. Mean 9.4, median 10, mode none, range 17
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 18 − 1 = 17.
3. Mean 6.8, median 5, mode none, range 16
Mean = 34 ÷ 5 = 6.8. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 18 − 2 = 16.
4. Mean 13.4, median 15, mode 10 and 15, range 7
Mean = 67 ÷ 5 = 13.4. Median = middle value in order = 15. Mode = most common = 10 and 15. Range = 17 − 10 = 7.
5. Mean 17.86, median 15, mode 10, range 30
Mean = 125 ÷ 7 = 17.86. Median = middle value in order = 15. Mode = most common = 10. Range = 35 − 5 = 30.
6. Mean 17.29, median 18, mode none, range 31
Mean = 121 ÷ 7 = 17.29. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 34 − 3 = 31.
7. Mean 29.57, median 27, mode 35, range 17
Mean = 207 ÷ 7 = 29.57. Median = middle value in order = 27. Mode = most common = 35. Range = 39 − 22 = 17.
8. Mean 18.43, median 21, mode 30, range 25
Mean = 129 ÷ 7 = 18.43. Median = middle value in order = 21. Mode = most common = 30. Range = 30 − 5 = 25.
9. Mean 31.11, median 29, mode none, range 52
Mean = 280 ÷ 9 = 31.11. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 57 − 5 = 52.
10. Mean 27.56, median 29, mode none, range 54
Mean = 248 ÷ 9 = 27.56. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 56 − 2 = 54.
11. Mean 38.11, median 37, mode none, range 50
Mean = 343 ÷ 9 = 38.11. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 60 − 10 = 50.
12. Mean 28.78, median 24, mode none, range 52
Mean = 259 ÷ 9 = 28.78. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 60 − 8 = 52.
Worked examples
For the data 2, 16, 16, 17, 20, find the mean, median, mode and range.
- Mean = 71 ÷ 5 = 14.2.
- Median = middle value in order = 16.
- Mode = most common = 16.
- Range = 20 − 2 = 18.
- Answer: Mean 14.2, median 16, mode 16, range 18
For the data 2, 8, 11, 21, 22, 24, 30, find the mean, median, mode and range.
- Mean = 118 ÷ 7 = 16.86.
- Median = middle value in order = 21.
- Mode = most common = no repeated value.
- Range = 30 − 2 = 28.
- Answer: Mean 16.86, median 21, mode none, range 28
For the data 2, 3, 5, 15, 19, 22, 31, 46, 59, find the mean, median, mode and range.
- Mean = 202 ÷ 9 = 22.44.
- Median = middle value in order = 19.
- Mode = most common = no repeated value.
- Range = 59 − 2 = 57.
- Answer: Mean 22.44, median 19, mode none, 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
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Frequently asked
- Is this Grade 3 Range in Context Word Problems 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 Techniques, 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 Word Problems?
- Move on to Range in Context Common Errors, Introducing Range, Working with Range, which build directly on this idea.
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