Free Grade 3 Working with Range Common Errors Worksheets
Free Grade 3 worksheets for Working with Range Common Errors: 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 common errors
Identify working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with range common errors
Explain working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range common errors
Calculate working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range common errors
Compare working with range common errors 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 Common Errors 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, 8, 8, 9, 13, find the mean, median, mode and range.[1]
- 2.For the data 3, 9, 10, 14, 16, find the mean, median, mode and range.[1]
- 3.For the data 4, 6, 15, 16, 17, find the mean, median, mode and range.[1]
- 4.For the data 1, 2, 9, 17, 20, find the mean, median, mode and range.[1]
- 5.For the data 2, 11, 24, 28, 31, 36, 37, find the mean, median, mode and range.[2]
- 6.For the data 2, 10, 11, 19, 24, 28, 39, find the mean, median, mode and range.[2]
- 7.For the data 7, 10, 27, 29, 30, 35, 36, find the mean, median, mode and range.[2]
- 8.For the data 2, 7, 13, 20, 33, 35, 35, find the mean, median, mode and range.[2]
- 9.For the data 3, 5, 9, 9, 9, 11, 27, 51, 57, find the mean, median, mode and range.[3]
- 10.For the data 9, 16, 18, 19, 26, 29, 49, 51, 57, find the mean, median, mode and range.[3]
- 11.For the data 2, 5, 12, 15, 17, 19, 30, 31, 46, find the mean, median, mode and range.[3]
- 12.For the data 1, 14, 19, 22, 31, 34, 50, 60, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.8, median 8, mode 8, range 7
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 8. Mode = most common = 8. Range = 13 − 6 = 7.
2. Mean 10.4, median 10, mode none, range 13
Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 16 − 3 = 13.
3. Mean 11.6, median 15, mode none, range 13
Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 17 − 4 = 13.
4. Mean 9.8, median 9, mode none, range 19
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 1 = 19.
5. Mean 24.14, median 28, mode none, range 35
Mean = 169 ÷ 7 = 24.14. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 37 − 2 = 35.
6. Mean 19, median 19, mode none, range 37
Mean = 133 ÷ 7 = 19. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 39 − 2 = 37.
7. Mean 24.86, median 29, mode none, range 29
Mean = 174 ÷ 7 = 24.86. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 36 − 7 = 29.
8. Mean 20.71, median 20, mode 35, range 33
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 20. Mode = most common = 35. Range = 35 − 2 = 33.
9. Mean 20.11, median 9, mode 9, range 54
Mean = 181 ÷ 9 = 20.11. Median = middle value in order = 9. Mode = most common = 9. Range = 57 − 3 = 54.
10. Mean 30.44, median 26, mode none, range 48
Mean = 274 ÷ 9 = 30.44. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 57 − 9 = 48.
11. Mean 19.67, median 17, mode none, range 44
Mean = 177 ÷ 9 = 19.67. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 46 − 2 = 44.
12. Mean 32.33, median 31, mode 60, range 59
Mean = 291 ÷ 9 = 32.33. Median = middle value in order = 31. Mode = most common = 60. Range = 60 − 1 = 59.
Worked examples
For the data 2, 7, 10, 13, 18, find the mean, median, mode and range.
- Mean = 50 ÷ 5 = 10.
- Median = middle value in order = 10.
- Mode = most common = no repeated value.
- Range = 18 − 2 = 16.
- Answer: Mean 10, median 10, mode none, range 16
For the data 7, 9, 10, 19, 28, 36, 40, find the mean, median, mode and range.
- Mean = 149 ÷ 7 = 21.29.
- Median = middle value in order = 19.
- Mode = most common = no repeated value.
- Range = 40 − 7 = 33.
- Answer: Mean 21.29, median 19, mode none, range 33
For the data 12, 14, 16, 17, 26, 28, 50, 54, 56, find the mean, median, mode and range.
- Mean = 273 ÷ 9 = 30.33.
- Median = middle value in order = 26.
- Mode = most common = no repeated value.
- Range = 56 − 12 = 44.
- Answer: Mean 30.33, median 26, mode none, range 44
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 Working with Range Common Errors 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 Word Problems, Working with Range Techniques, 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 Common Errors?
- Move on to Introducing Range, Range in Context, which build directly on this idea.
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