Free Grade 3 Working with Introducing Range Word Problems Worksheets
Free Grade 3 worksheets for Working with Introducing 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
15 min
24
Learning objectives
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- RememberIdentify working with introducing range word problems
Identify working with introducing range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range word problems
Explain working with introducing range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range word problems
Calculate working with introducing range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range word problems
Compare working with introducing 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 Introducing 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, 12, 12, 15, 19, find the mean, median, mode and range.[1]
- 2.For the data 1, 8, 8, 11, 19, find the mean, median, mode and range.[1]
- 3.For the data 7, 11, 11, 13, 18, find the mean, median, mode and range.[1]
- 4.For the data 3, 7, 12, 16, 19, find the mean, median, mode and range.[1]
- 5.For the data 7, 7, 10, 20, 20, 24, 26, find the mean, median, mode and range.[2]
- 6.For the data 4, 6, 7, 10, 10, 21, 25, find the mean, median, mode and range.[2]
- 7.For the data 4, 4, 14, 24, 25, 30, 40, find the mean, median, mode and range.[2]
- 8.For the data 11, 27, 30, 33, 33, 35, 36, find the mean, median, mode and range.[2]
- 9.For the data 3, 8, 22, 35, 35, 41, 43, 47, 47, find the mean, median, mode and range.[3]
- 10.For the data 5, 15, 19, 39, 43, 50, 54, 57, 58, find the mean, median, mode and range.[3]
- 11.For the data 1, 21, 25, 26, 29, 33, 40, 47, 58, find the mean, median, mode and range.[3]
- 12.For the data 11, 21, 22, 26, 32, 43, 46, 51, 55, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.4, median 12, mode 12, range 15
Mean = 62 ÷ 5 = 12.4. Median = middle value in order = 12. Mode = most common = 12. Range = 19 − 4 = 15.
2. Mean 9.4, median 8, mode 8, range 18
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 8. Mode = most common = 8. Range = 19 − 1 = 18.
3. Mean 12, median 11, mode 11, range 11
Mean = 60 ÷ 5 = 12. Median = middle value in order = 11. Mode = most common = 11. Range = 18 − 7 = 11.
4. Mean 11.4, median 12, mode none, range 16
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 19 − 3 = 16.
5. Mean 16.29, median 20, mode 7 and 20, range 19
Mean = 114 ÷ 7 = 16.29. Median = middle value in order = 20. Mode = most common = 7 and 20. Range = 26 − 7 = 19.
6. Mean 11.86, median 10, mode 10, range 21
Mean = 83 ÷ 7 = 11.86. Median = middle value in order = 10. Mode = most common = 10. Range = 25 − 4 = 21.
7. Mean 20.14, median 24, mode 4, range 36
Mean = 141 ÷ 7 = 20.14. Median = middle value in order = 24. Mode = most common = 4. Range = 40 − 4 = 36.
8. Mean 29.29, median 33, mode 33, range 25
Mean = 205 ÷ 7 = 29.29. Median = middle value in order = 33. Mode = most common = 33. Range = 36 − 11 = 25.
9. Mean 31.22, median 35, mode 35 and 47, range 44
Mean = 281 ÷ 9 = 31.22. Median = middle value in order = 35. Mode = most common = 35 and 47. Range = 47 − 3 = 44.
10. Mean 37.78, median 43, mode none, range 53
Mean = 340 ÷ 9 = 37.78. Median = middle value in order = 43. Mode = most common = no repeated value. Range = 58 − 5 = 53.
11. Mean 31.11, median 29, mode none, range 57
Mean = 280 ÷ 9 = 31.11. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 58 − 1 = 57.
12. Mean 34.11, median 32, mode none, range 44
Mean = 307 ÷ 9 = 34.11. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 55 − 11 = 44.
Worked examples
For the data 2, 4, 7, 13, 20, find the mean, median, mode and range.
- Mean = 46 ÷ 5 = 9.2.
- Median = middle value in order = 7.
- Mode = most common = no repeated value.
- Range = 20 − 2 = 18.
- Answer: Mean 9.2, median 7, mode none, range 18
For the data 10, 11, 16, 17, 29, 35, 37, find the mean, median, mode and range.
- Mean = 155 ÷ 7 = 22.14.
- Median = middle value in order = 17.
- Mode = most common = no repeated value.
- Range = 37 − 10 = 27.
- Answer: Mean 22.14, median 17, mode none, range 27
For the data 8, 8, 22, 28, 46, 55, 56, 57, 58, find the mean, median, mode and range.
- Mean = 338 ÷ 9 = 37.56.
- Median = middle value in order = 46.
- Mode = most common = 8.
- Range = 58 − 8 = 50.
- Answer: Mean 37.56, median 46, mode 8, range 50
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
- Is this Grade 3 Working with Introducing 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 Rules and Methods in Introducing Range Word Problems, Key Vocabulary of Introducing Range Word Problems, Introducing Range Techniques. 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 Introducing Range Word Problems?
- Move on to Introducing Range Word Problems in Examinations, Introducing Range Essentials, Introducing Range Techniques, Introducing Range Common Errors, which build directly on this idea.
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