Free Grade 3 Introducing Mode Common Errors Worksheets
Free Grade 3 worksheets for Introducing Mode 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing mode common errors
Identify introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing mode common errors
Explain introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing mode common errors
Calculate introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing mode common errors
Compare introducing mode 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 Introducing Mode 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, 7, 10, 18, 18, find the mean, median, mode and range.[1]
- 2.For the data 6, 6, 10, 16, 17, find the mean, median, mode and range.[1]
- 3.For the data 9, 11, 13, 15, 17, find the mean, median, mode and range.[1]
- 4.For the data 7, 8, 15, 17, 17, find the mean, median, mode and range.[1]
- 5.For the data 10, 15, 23, 25, 27, 38, 40, find the mean, median, mode and range.[2]
- 6.For the data 3, 5, 25, 26, 34, 36, 40, find the mean, median, mode and range.[2]
- 7.For the data 3, 6, 18, 23, 24, 28, 37, find the mean, median, mode and range.[2]
- 8.For the data 6, 10, 15, 16, 26, 31, 39, find the mean, median, mode and range.[2]
- 9.For the data 4, 4, 6, 16, 38, 38, 40, 47, 56, find the mean, median, mode and range.[3]
- 10.For the data 12, 14, 19, 23, 28, 33, 34, 47, 58, find the mean, median, mode and range.[3]
- 11.For the data 7, 9, 11, 18, 27, 36, 38, 39, 42, find the mean, median, mode and range.[3]
- 12.For the data 7, 13, 23, 26, 28, 41, 41, 51, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.8, median 10, mode 18, range 17
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 10. Mode = most common = 18. Range = 18 − 1 = 17.
2. Mean 11, median 10, mode 6, range 11
Mean = 55 ÷ 5 = 11. Median = middle value in order = 10. Mode = most common = 6. Range = 17 − 6 = 11.
3. Mean 13, median 13, mode none, range 8
Mean = 65 ÷ 5 = 13. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 17 − 9 = 8.
4. Mean 12.8, median 15, mode 17, range 10
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 15. Mode = most common = 17. Range = 17 − 7 = 10.
5. Mean 25.43, median 25, mode none, range 30
Mean = 178 ÷ 7 = 25.43. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 40 − 10 = 30.
6. Mean 24.14, median 26, mode none, range 37
Mean = 169 ÷ 7 = 24.14. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 40 − 3 = 37.
7. Mean 19.86, median 23, mode none, range 34
Mean = 139 ÷ 7 = 19.86. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 37 − 3 = 34.
8. Mean 20.43, median 16, mode none, range 33
Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 39 − 6 = 33.
9. Mean 27.67, median 38, mode 4 and 38, range 52
Mean = 249 ÷ 9 = 27.67. Median = middle value in order = 38. Mode = most common = 4 and 38. Range = 56 − 4 = 52.
10. Mean 29.78, median 28, mode none, range 46
Mean = 268 ÷ 9 = 29.78. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 58 − 12 = 46.
11. Mean 25.22, median 27, mode none, range 35
Mean = 227 ÷ 9 = 25.22. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 42 − 7 = 35.
12. Mean 32.22, median 28, mode 41, range 53
Mean = 290 ÷ 9 = 32.22. Median = middle value in order = 28. Mode = most common = 41. Range = 60 − 7 = 53.
Worked examples
For the data 2, 13, 16, 19, 20, find the mean, median, mode and range.
- Mean = 70 ÷ 5 = 14.
- Median = middle value in order = 16.
- Mode = most common = no repeated value.
- Range = 20 − 2 = 18.
- Answer: Mean 14, median 16, mode none, range 18
For the data 1, 14, 15, 22, 31, 36, 37, find the mean, median, mode and range.
- Mean = 156 ÷ 7 = 22.29.
- Median = middle value in order = 22.
- Mode = most common = no repeated value.
- Range = 37 − 1 = 36.
- Answer: Mean 22.29, median 22, mode none, range 36
For the data 6, 6, 10, 24, 32, 43, 52, 56, 59, find the mean, median, mode and range.
- Mean = 288 ÷ 9 = 32.
- Median = middle value in order = 32.
- Mode = most common = 6.
- Range = 59 − 6 = 53.
- Answer: Mean 32, median 32, mode 6, range 53
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 Introducing Mode 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 Introducing Mode Word Problems, Introducing Mode Techniques, Median. 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 Introducing Mode Common Errors?
- Move on to Working with Mode, Mode in Context, which build directly on this idea.
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