Free Grade 3 Range in Context Word Problems Worksheets
Free Grade 3 worksheets 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
15 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 6, 6, 8, 9, 13, find the mean, median, mode and range.[1]
- 2.For the data 3, 5, 6, 9, 18, find the mean, median, mode and range.[1]
- 3.For the data 2, 5, 11, 13, 13, find the mean, median, mode and range.[1]
- 4.For the data 8, 14, 14, 15, 18, find the mean, median, mode and range.[1]
- 5.For the data 6, 17, 25, 30, 31, 36, 36, find the mean, median, mode and range.[2]
- 6.For the data 4, 11, 12, 19, 24, 33, 34, find the mean, median, mode and range.[2]
- 7.For the data 5, 17, 18, 21, 24, 26, 35, find the mean, median, mode and range.[2]
- 8.For the data 2, 12, 17, 17, 23, 35, 39, find the mean, median, mode and range.[2]
- 9.For the data 2, 14, 16, 17, 21, 32, 53, 55, 60, find the mean, median, mode and range.[3]
- 10.For the data 7, 9, 18, 24, 41, 47, 49, 50, 56, find the mean, median, mode and range.[3]
- 11.For the data 1, 5, 7, 24, 32, 41, 57, 58, 60, find the mean, median, mode and range.[3]
- 12.For the data 2, 10, 30, 40, 42, 47, 48, 51, 53, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.4, median 8, mode 6, range 7
Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 8. Mode = most common = 6. Range = 13 − 6 = 7.
2. Mean 8.2, median 6, mode none, range 15
Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 18 − 3 = 15.
3. Mean 8.8, median 11, mode 13, range 11
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 11. Mode = most common = 13. Range = 13 − 2 = 11.
4. Mean 13.8, median 14, mode 14, range 10
Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 14. Mode = most common = 14. Range = 18 − 8 = 10.
5. Mean 25.86, median 30, mode 36, range 30
Mean = 181 ÷ 7 = 25.86. Median = middle value in order = 30. Mode = most common = 36. Range = 36 − 6 = 30.
6. Mean 19.57, median 19, mode none, range 30
Mean = 137 ÷ 7 = 19.57. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 34 − 4 = 30.
7. Mean 20.86, median 21, mode none, range 30
Mean = 146 ÷ 7 = 20.86. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 35 − 5 = 30.
8. Mean 20.71, median 17, mode 17, range 37
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 17. Mode = most common = 17. Range = 39 − 2 = 37.
9. Mean 30, median 21, mode none, range 58
Mean = 270 ÷ 9 = 30. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 60 − 2 = 58.
10. Mean 33.44, median 41, mode none, range 49
Mean = 301 ÷ 9 = 33.44. Median = middle value in order = 41. Mode = most common = no repeated value. Range = 56 − 7 = 49.
11. Mean 31.67, median 32, mode none, range 59
Mean = 285 ÷ 9 = 31.67. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 60 − 1 = 59.
12. Mean 35.89, median 42, mode none, range 51
Mean = 323 ÷ 9 = 35.89. Median = middle value in order = 42. Mode = most common = no repeated value. Range = 53 − 2 = 51.
Worked examples
For the data 3, 8, 10, 17, 19, find the mean, median, mode and range.
- Mean = 57 ÷ 5 = 11.4.
- Median = middle value in order = 10.
- Mode = most common = no repeated value.
- Range = 19 − 3 = 16.
- Answer: Mean 11.4, median 10, mode none, range 16
For the data 1, 13, 14, 17, 23, 33, 34, find the mean, median, mode and range.
- Mean = 135 ÷ 7 = 19.29.
- Median = middle value in order = 17.
- Mode = most common = no repeated value.
- Range = 34 − 1 = 33.
- Answer: Mean 19.29, median 17, mode none, range 33
For the data 1, 3, 9, 10, 12, 14, 18, 19, 33, find the mean, median, mode and range.
- Mean = 119 ÷ 9 = 13.22.
- Median = middle value in order = 12.
- Mode = most common = no repeated value.
- Range = 33 − 1 = 32.
- Answer: Mean 13.22, median 12, mode none, range 32
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 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 Range in Context Techniques, Range in Context Essentials, Working with 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 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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