Free Grade 3 Working with Range Essentials Worksheets
Free Grade 3 worksheets for Working with Range Essentials: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with range essentials
Identify working with range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with range essentials
Explain working with range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range essentials
Calculate working with range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range essentials
Compare working with range essentials 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 Essentials 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 8, 12, 15, 15, 19, find the mean, median, mode and range.[1]
- 2.For the data 1, 2, 4, 8, 19, find the mean, median, mode and range.[1]
- 3.For the data 1, 5, 10, 19, 20, find the mean, median, mode and range.[1]
- 4.For the data 2, 8, 9, 10, 12, find the mean, median, mode and range.[1]
- 5.For the data 6, 7, 16, 24, 26, 28, 40, find the mean, median, mode and range.[2]
- 6.For the data 3, 12, 15, 19, 24, 34, 35, find the mean, median, mode and range.[2]
- 7.For the data 8, 18, 18, 33, 33, 35, 39, find the mean, median, mode and range.[2]
- 8.For the data 1, 6, 11, 13, 24, 25, 29, find the mean, median, mode and range.[2]
- 9.For the data 2, 14, 18, 24, 25, 31, 34, 42, 42, find the mean, median, mode and range.[3]
- 10.For the data 11, 13, 23, 24, 25, 44, 47, 47, 54, find the mean, median, mode and range.[3]
- 11.For the data 22, 34, 34, 37, 41, 43, 46, 52, 57, find the mean, median, mode and range.[3]
- 12.For the data 11, 26, 28, 28, 31, 33, 36, 39, 40, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 13.8, median 15, mode 15, range 11
Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 15. Mode = most common = 15. Range = 19 − 8 = 11.
2. Mean 6.8, median 4, mode none, range 18
Mean = 34 ÷ 5 = 6.8. Median = middle value in order = 4. Mode = most common = no repeated value. Range = 19 − 1 = 18.
3. Mean 11, median 10, mode none, range 19
Mean = 55 ÷ 5 = 11. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 20 − 1 = 19.
4. Mean 8.2, median 9, mode none, range 10
Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 12 − 2 = 10.
5. Mean 21, median 24, mode none, range 34
Mean = 147 ÷ 7 = 21. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 40 − 6 = 34.
6. Mean 20.29, median 19, mode none, range 32
Mean = 142 ÷ 7 = 20.29. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 35 − 3 = 32.
7. Mean 26.29, median 33, mode 18 and 33, range 31
Mean = 184 ÷ 7 = 26.29. Median = middle value in order = 33. Mode = most common = 18 and 33. Range = 39 − 8 = 31.
8. Mean 15.57, median 13, mode none, range 28
Mean = 109 ÷ 7 = 15.57. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 29 − 1 = 28.
9. Mean 25.78, median 25, mode 42, range 40
Mean = 232 ÷ 9 = 25.78. Median = middle value in order = 25. Mode = most common = 42. Range = 42 − 2 = 40.
10. Mean 32, median 25, mode 47, range 43
Mean = 288 ÷ 9 = 32. Median = middle value in order = 25. Mode = most common = 47. Range = 54 − 11 = 43.
11. Mean 40.67, median 41, mode 34, range 35
Mean = 366 ÷ 9 = 40.67. Median = middle value in order = 41. Mode = most common = 34. Range = 57 − 22 = 35.
12. Mean 30.22, median 31, mode 28, range 29
Mean = 272 ÷ 9 = 30.22. Median = middle value in order = 31. Mode = most common = 28. Range = 40 − 11 = 29.
Worked examples
For the data 2, 2, 3, 8, 17, find the mean, median, mode and range.
- Mean = 32 ÷ 5 = 6.4.
- Median = middle value in order = 3.
- Mode = most common = 2.
- Range = 17 − 2 = 15.
- Answer: Mean 6.4, median 3, mode 2, range 15
For the data 4, 11, 12, 17, 29, 34, 37, find the mean, median, mode and range.
- Mean = 144 ÷ 7 = 20.57.
- Median = middle value in order = 17.
- Mode = most common = no repeated value.
- Range = 37 − 4 = 33.
- Answer: Mean 20.57, median 17, mode none, range 33
For the data 2, 11, 17, 21, 39, 42, 46, 50, 50, find the mean, median, mode and range.
- Mean = 278 ÷ 9 = 30.89.
- Median = middle value in order = 39.
- Mode = most common = 50.
- Range = 50 − 2 = 48.
- Answer: Mean 30.89, median 39, mode 50, range 48
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 Essentials 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 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 Essentials?
- Move on to Working with Range Techniques, Working with Range Word Problems, Working with Range Common Errors, Introducing Range, which build directly on this idea.
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