Free Grade 3 Working with Introducing Range Common Errors Worksheets
Free Grade 3 worksheets for Working with Introducing 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 introducing range common errors
Identify working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range common errors
Explain working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range common errors
Calculate working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range common errors
Compare working with introducing 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 Introducing 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 5, 6, 7, 12, 16, find the mean, median, mode and range.[1]
- 2.For the data 7, 13, 17, 18, 18, find the mean, median, mode and range.[1]
- 3.For the data 2, 9, 13, 17, 17, find the mean, median, mode and range.[1]
- 4.For the data 9, 11, 17, 17, 19, find the mean, median, mode and range.[1]
- 5.For the data 1, 2, 4, 20, 26, 35, 35, find the mean, median, mode and range.[2]
- 6.For the data 1, 1, 9, 12, 24, 25, 29, find the mean, median, mode and range.[2]
- 7.For the data 3, 9, 22, 27, 29, 33, 33, find the mean, median, mode and range.[2]
- 8.For the data 5, 7, 8, 19, 25, 28, 32, find the mean, median, mode and range.[2]
- 9.For the data 8, 20, 36, 36, 42, 42, 47, 51, 60, find the mean, median, mode and range.[3]
- 10.For the data 4, 15, 16, 16, 43, 45, 46, 51, 52, find the mean, median, mode and range.[3]
- 11.For the data 1, 7, 9, 15, 20, 21, 21, 36, 38, find the mean, median, mode and range.[3]
- 12.For the data 3, 12, 13, 29, 33, 36, 40, 42, 46, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.2, median 7, mode none, range 11
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 16 − 5 = 11.
2. Mean 14.6, median 17, mode 18, range 11
Mean = 73 ÷ 5 = 14.6. Median = middle value in order = 17. Mode = most common = 18. Range = 18 − 7 = 11.
3. Mean 11.6, median 13, mode 17, range 15
Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 13. Mode = most common = 17. Range = 17 − 2 = 15.
4. Mean 14.6, median 17, mode 17, range 10
Mean = 73 ÷ 5 = 14.6. Median = middle value in order = 17. Mode = most common = 17. Range = 19 − 9 = 10.
5. Mean 17.57, median 20, mode 35, range 34
Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 20. Mode = most common = 35. Range = 35 − 1 = 34.
6. Mean 14.43, median 12, mode 1, range 28
Mean = 101 ÷ 7 = 14.43. Median = middle value in order = 12. Mode = most common = 1. Range = 29 − 1 = 28.
7. Mean 22.29, median 27, mode 33, range 30
Mean = 156 ÷ 7 = 22.29. Median = middle value in order = 27. Mode = most common = 33. Range = 33 − 3 = 30.
8. Mean 17.71, median 19, mode none, range 27
Mean = 124 ÷ 7 = 17.71. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 32 − 5 = 27.
9. Mean 38, median 42, mode 36 and 42, range 52
Mean = 342 ÷ 9 = 38. Median = middle value in order = 42. Mode = most common = 36 and 42. Range = 60 − 8 = 52.
10. Mean 32, median 43, mode 16, range 48
Mean = 288 ÷ 9 = 32. Median = middle value in order = 43. Mode = most common = 16. Range = 52 − 4 = 48.
11. Mean 18.67, median 20, mode 21, range 37
Mean = 168 ÷ 9 = 18.67. Median = middle value in order = 20. Mode = most common = 21. Range = 38 − 1 = 37.
12. Mean 28.22, median 33, mode none, range 43
Mean = 254 ÷ 9 = 28.22. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 46 − 3 = 43.
Worked examples
For the data 1, 2, 4, 8, 9, find the mean, median, mode and range.
- Mean = 24 ÷ 5 = 4.8.
- Median = middle value in order = 4.
- Mode = most common = no repeated value.
- Range = 9 − 1 = 8.
- Answer: Mean 4.8, median 4, mode none, range 8
For the data 8, 20, 27, 31, 31, 36, 38, find the mean, median, mode and range.
- Mean = 191 ÷ 7 = 27.29.
- Median = middle value in order = 31.
- Mode = most common = 31.
- Range = 38 − 8 = 30.
- Answer: Mean 27.29, median 31, mode 31, range 30
For the data 2, 4, 7, 7, 23, 28, 33, 34, 58, find the mean, median, mode and range.
- Mean = 196 ÷ 9 = 21.78.
- Median = middle value in order = 23.
- Mode = most common = 7.
- Range = 58 − 2 = 56.
- Answer: Mean 21.78, median 23, mode 7, range 56
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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- What should a learner already know before this?
- Start with Rules and Methods in Introducing Range Common Errors, Key Vocabulary of Introducing Range Common Errors, Introducing Range Word Problems. Each one has its own free lesson, worksheet and quiz.
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- 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 Common Errors?
- Move on to Introducing Range Common Errors in Examinations, Introducing Range Essentials, Introducing Range Techniques, Introducing Range Word Problems, which build directly on this idea.
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