Free Grade 3 Working with Working with Range Common Errors Worksheets
Free Grade 3 worksheets for Working with 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with working with range common errors
Identify working with working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with working with range common errors
Explain working with working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with working with range common errors
Calculate working with working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with working with range common errors
Compare working with 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 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 1, 4, 10, 14, 15, find the mean, median, mode and range.[1]
- 2.For the data 1, 4, 7, 14, 19, find the mean, median, mode and range.[1]
- 3.For the data 5, 11, 15, 17, 20, find the mean, median, mode and range.[1]
- 4.For the data 5, 5, 6, 7, 14, find the mean, median, mode and range.[1]
- 5.For the data 19, 22, 32, 33, 35, 38, 40, find the mean, median, mode and range.[2]
- 6.For the data 4, 8, 13, 21, 27, 37, 40, find the mean, median, mode and range.[2]
- 7.For the data 8, 28, 29, 29, 32, 33, 36, find the mean, median, mode and range.[2]
- 8.For the data 5, 16, 21, 22, 30, 39, 39, find the mean, median, mode and range.[2]
- 9.For the data 16, 26, 36, 37, 49, 50, 53, 56, 57, find the mean, median, mode and range.[3]
- 10.For the data 12, 24, 24, 26, 27, 43, 45, 56, 58, find the mean, median, mode and range.[3]
- 11.For the data 3, 5, 6, 15, 23, 32, 35, 49, 53, find the mean, median, mode and range.[3]
- 12.For the data 3, 5, 16, 16, 26, 28, 30, 38, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.8, median 10, mode none, range 14
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 15 − 1 = 14.
2. Mean 9, median 7, mode none, range 18
Mean = 45 ÷ 5 = 9. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 19 − 1 = 18.
3. Mean 13.6, median 15, mode none, range 15
Mean = 68 ÷ 5 = 13.6. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 20 − 5 = 15.
4. Mean 7.4, median 6, mode 5, range 9
Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 6. Mode = most common = 5. Range = 14 − 5 = 9.
5. Mean 31.29, median 33, mode none, range 21
Mean = 219 ÷ 7 = 31.29. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 40 − 19 = 21.
6. Mean 21.43, median 21, mode none, range 36
Mean = 150 ÷ 7 = 21.43. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 40 − 4 = 36.
7. Mean 27.86, median 29, mode 29, range 28
Mean = 195 ÷ 7 = 27.86. Median = middle value in order = 29. Mode = most common = 29. Range = 36 − 8 = 28.
8. Mean 24.57, median 22, mode 39, range 34
Mean = 172 ÷ 7 = 24.57. Median = middle value in order = 22. Mode = most common = 39. Range = 39 − 5 = 34.
9. Mean 42.22, median 49, mode none, range 41
Mean = 380 ÷ 9 = 42.22. Median = middle value in order = 49. Mode = most common = no repeated value. Range = 57 − 16 = 41.
10. Mean 35, median 27, mode 24, range 46
Mean = 315 ÷ 9 = 35. Median = middle value in order = 27. Mode = most common = 24. Range = 58 − 12 = 46.
11. Mean 24.56, median 23, mode none, range 50
Mean = 221 ÷ 9 = 24.56. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 53 − 3 = 50.
12. Mean 24.22, median 26, mode 16, range 53
Mean = 218 ÷ 9 = 24.22. Median = middle value in order = 26. Mode = most common = 16. Range = 56 − 3 = 53.
Worked examples
For the data 12, 16, 17, 18, 20, find the mean, median, mode and range.
- Mean = 83 ÷ 5 = 16.6.
- Median = middle value in order = 17.
- Mode = most common = no repeated value.
- Range = 20 − 12 = 8.
- Answer: Mean 16.6, median 17, mode none, range 8
For the data 8, 9, 16, 17, 22, 39, 40, find the mean, median, mode and range.
- Mean = 151 ÷ 7 = 21.57.
- Median = middle value in order = 17.
- Mode = most common = no repeated value.
- Range = 40 − 8 = 32.
- Answer: Mean 21.57, median 17, mode none, range 32
For the data 2, 2, 2, 11, 14, 40, 46, 49, 51, find the mean, median, mode and range.
- Mean = 217 ÷ 9 = 24.11.
- Median = middle value in order = 14.
- Mode = most common = 2.
- Range = 51 − 2 = 49.
- Answer: Mean 24.11, median 14, mode 2, range 49
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
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- 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 Working with Range Common Errors, Key Vocabulary of Working with Range Common Errors, Working with Range Word Problems. 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 Working with Range Common Errors?
- Move on to Working with Range Common Errors in Examinations, Working with Range Essentials, Working with Range Techniques, Working with Range Word Problems, which build directly on this idea.
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