Free Grade 3 Working with Range Word Problems Worksheets
Free Grade 3 worksheets for Working with Range 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
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with range word problems
Identify working with range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with range word problems
Explain working with range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range word problems
Calculate working with range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range word problems
Compare working with range 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 Working with Range 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 4, 5, 9, 9, 16, find the mean, median, mode and range.[1]
- 2.For the data 1, 1, 4, 7, 15, find the mean, median, mode and range.[1]
- 3.For the data 1, 1, 9, 10, 11, find the mean, median, mode and range.[1]
- 4.For the data 5, 6, 14, 17, 17, find the mean, median, mode and range.[1]
- 5.For the data 3, 5, 10, 12, 14, 17, 31, find the mean, median, mode and range.[2]
- 6.For the data 5, 8, 15, 23, 28, 29, 37, find the mean, median, mode and range.[2]
- 7.For the data 7, 8, 17, 25, 26, 32, 34, find the mean, median, mode and range.[2]
- 8.For the data 1, 2, 5, 29, 32, 36, 38, find the mean, median, mode and range.[2]
- 9.For the data 9, 13, 15, 33, 36, 47, 48, 49, 56, find the mean, median, mode and range.[3]
- 10.For the data 5, 12, 12, 22, 27, 28, 31, 39, 53, find the mean, median, mode and range.[3]
- 11.For the data 8, 17, 20, 29, 48, 53, 53, 55, 58, find the mean, median, mode and range.[3]
- 12.For the data 6, 9, 22, 24, 35, 52, 54, 55, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.6, median 9, mode 9, range 12
Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 9. Mode = most common = 9. Range = 16 − 4 = 12.
2. Mean 5.6, median 4, mode 1, range 14
Mean = 28 ÷ 5 = 5.6. Median = middle value in order = 4. Mode = most common = 1. Range = 15 − 1 = 14.
3. Mean 6.4, median 9, mode 1, range 10
Mean = 32 ÷ 5 = 6.4. Median = middle value in order = 9. Mode = most common = 1. Range = 11 − 1 = 10.
4. Mean 11.8, median 14, mode 17, range 12
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 14. Mode = most common = 17. Range = 17 − 5 = 12.
5. Mean 13.14, median 12, mode none, range 28
Mean = 92 ÷ 7 = 13.14. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 31 − 3 = 28.
6. Mean 20.71, median 23, mode none, range 32
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 37 − 5 = 32.
7. Mean 21.29, median 25, mode none, range 27
Mean = 149 ÷ 7 = 21.29. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 34 − 7 = 27.
8. Mean 20.43, median 29, mode none, range 37
Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 38 − 1 = 37.
9. Mean 34, median 36, mode none, range 47
Mean = 306 ÷ 9 = 34. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 56 − 9 = 47.
10. Mean 25.44, median 27, mode 12, range 48
Mean = 229 ÷ 9 = 25.44. Median = middle value in order = 27. Mode = most common = 12. Range = 53 − 5 = 48.
11. Mean 37.89, median 48, mode 53, range 50
Mean = 341 ÷ 9 = 37.89. Median = middle value in order = 48. Mode = most common = 53. Range = 58 − 8 = 50.
12. Mean 35.11, median 35, mode none, range 53
Mean = 316 ÷ 9 = 35.11. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 59 − 6 = 53.
Worked examples
For the data 1, 2, 5, 20, 20, find the mean, median, mode and range.
- Mean = 48 ÷ 5 = 9.6.
- Median = middle value in order = 5.
- Mode = most common = 20.
- Range = 20 − 1 = 19.
- Answer: Mean 9.6, median 5, mode 20, range 19
For the data 19, 20, 20, 21, 29, 35, 36, find the mean, median, mode and range.
- Mean = 180 ÷ 7 = 25.71.
- Median = middle value in order = 21.
- Mode = most common = 20.
- Range = 36 − 19 = 17.
- Answer: Mean 25.71, median 21, mode 20, range 17
For the data 22, 31, 33, 38, 38, 40, 43, 51, 60, find the mean, median, mode and range.
- Mean = 356 ÷ 9 = 39.56.
- Median = middle value in order = 38.
- Mode = most common = 38.
- Range = 60 − 22 = 38.
- Answer: Mean 39.56, median 38, mode 38, range 38
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 Working with Range 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 Working with Range Techniques, Working with Range Essentials, Introducing 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 Working with Range Word Problems?
- Move on to Working with Range Common Errors, Introducing Range, Range in Context, which build directly on this idea.
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