Free Grade 3 Range in Context Common Errors Worksheets
Free Grade 3 worksheets for Range in Context 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify range in context common errors
Identify range in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain range in context common errors
Explain range in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate range in context common errors
Calculate range in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare range in context common errors
Compare range in context 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 Range in Context 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, 2, 7, 18, 19, find the mean, median, mode and range.[1]
- 2.For the data 1, 5, 7, 8, 12, find the mean, median, mode and range.[1]
- 3.For the data 2, 4, 5, 14, 17, find the mean, median, mode and range.[1]
- 4.For the data 5, 10, 13, 17, 18, find the mean, median, mode and range.[1]
- 5.For the data 3, 3, 5, 13, 15, 23, 30, find the mean, median, mode and range.[2]
- 6.For the data 9, 15, 18, 20, 25, 28, 40, find the mean, median, mode and range.[2]
- 7.For the data 1, 11, 14, 18, 19, 22, 36, find the mean, median, mode and range.[2]
- 8.For the data 4, 4, 8, 13, 16, 22, 29, find the mean, median, mode and range.[2]
- 9.For the data 3, 4, 16, 21, 21, 31, 54, 55, 57, find the mean, median, mode and range.[3]
- 10.For the data 3, 3, 4, 18, 19, 35, 44, 53, 54, find the mean, median, mode and range.[3]
- 11.For the data 7, 8, 22, 30, 40, 47, 49, 54, 56, find the mean, median, mode and range.[3]
- 12.For the data 7, 11, 14, 24, 26, 29, 35, 36, 52, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.4, median 7, mode none, range 18
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 19 − 1 = 18.
2. Mean 6.6, median 7, mode none, range 11
Mean = 33 ÷ 5 = 6.6. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 12 − 1 = 11.
3. Mean 8.4, median 5, mode none, range 15
Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 17 − 2 = 15.
4. Mean 12.6, median 13, mode none, range 13
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 18 − 5 = 13.
5. Mean 13.14, median 13, mode 3, range 27
Mean = 92 ÷ 7 = 13.14. Median = middle value in order = 13. Mode = most common = 3. Range = 30 − 3 = 27.
6. Mean 22.14, median 20, mode none, range 31
Mean = 155 ÷ 7 = 22.14. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 40 − 9 = 31.
7. Mean 17.29, median 18, mode none, range 35
Mean = 121 ÷ 7 = 17.29. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 36 − 1 = 35.
8. Mean 13.71, median 13, mode 4, range 25
Mean = 96 ÷ 7 = 13.71. Median = middle value in order = 13. Mode = most common = 4. Range = 29 − 4 = 25.
9. Mean 29.11, median 21, mode 21, range 54
Mean = 262 ÷ 9 = 29.11. Median = middle value in order = 21. Mode = most common = 21. Range = 57 − 3 = 54.
10. Mean 25.89, median 19, mode 3, range 51
Mean = 233 ÷ 9 = 25.89. Median = middle value in order = 19. Mode = most common = 3. Range = 54 − 3 = 51.
11. Mean 34.78, median 40, mode none, range 49
Mean = 313 ÷ 9 = 34.78. Median = middle value in order = 40. Mode = most common = no repeated value. Range = 56 − 7 = 49.
12. Mean 26, median 26, mode none, range 45
Mean = 234 ÷ 9 = 26. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 52 − 7 = 45.
Worked examples
For the data 4, 5, 7, 12, 13, find the mean, median, mode and range.
- Mean = 41 ÷ 5 = 8.2.
- Median = middle value in order = 7.
- Mode = most common = no repeated value.
- Range = 13 − 4 = 9.
- Answer: Mean 8.2, median 7, mode none, range 9
For the data 3, 5, 15, 16, 16, 16, 36, find the mean, median, mode and range.
- Mean = 107 ÷ 7 = 15.29.
- Median = middle value in order = 16.
- Mode = most common = 16.
- Range = 36 − 3 = 33.
- Answer: Mean 15.29, median 16, mode 16, range 33
For the data 3, 3, 5, 25, 42, 43, 48, 53, 59, find the mean, median, mode and range.
- Mean = 281 ÷ 9 = 31.22.
- Median = middle value in order = 42.
- Mode = most common = 3.
- Range = 59 − 3 = 56.
- Answer: Mean 31.22, median 42, mode 3, 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
- Is this Grade 3 Range in Context 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 Range in Context Word Problems, Range in Context Techniques, Working with 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 Range in Context Common Errors?
- Move on to Introducing Range, Working with Range, which build directly on this idea.
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