Free Grade 3 Working with Mode Common Errors Quizzes
Free Grade 3 quizzes for Working with 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with mode common errors
Identify working with mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with mode common errors
Explain working with mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with mode common errors
Calculate working with mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with mode common errors
Compare working with 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 Working with 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 3, 10, 13, 14, 17, find the mean, median, mode and range.[1]
- 2.For the data 7, 8, 13, 17, 19, find the mean, median, mode and range.[1]
- 3.For the data 7, 11, 14, 19, 20, find the mean, median, mode and range.[1]
- 4.For the data 11, 14, 18, 18, 19, find the mean, median, mode and range.[1]
- 5.For the data 8, 30, 31, 32, 38, 40, 40, find the mean, median, mode and range.[2]
- 6.For the data 4, 19, 24, 25, 27, 29, 32, find the mean, median, mode and range.[2]
- 7.For the data 3, 10, 10, 15, 16, 26, 31, find the mean, median, mode and range.[2]
- 8.For the data 2, 4, 16, 20, 29, 29, 33, find the mean, median, mode and range.[2]
- 9.For the data 2, 3, 8, 17, 22, 37, 39, 46, 52, find the mean, median, mode and range.[3]
- 10.For the data 15, 15, 16, 47, 48, 52, 54, 56, 59, find the mean, median, mode and range.[3]
- 11.For the data 7, 12, 29, 42, 47, 48, 52, 56, 59, find the mean, median, mode and range.[3]
- 12.For the data 3, 9, 10, 13, 17, 23, 36, 39, 55, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.4, median 13, mode none, range 14
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 17 − 3 = 14.
2. Mean 12.8, median 13, mode none, range 12
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 19 − 7 = 12.
3. Mean 14.2, median 14, mode none, range 13
Mean = 71 ÷ 5 = 14.2. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 7 = 13.
4. Mean 16, median 18, mode 18, range 8
Mean = 80 ÷ 5 = 16. Median = middle value in order = 18. Mode = most common = 18. Range = 19 − 11 = 8.
5. Mean 31.29, median 32, mode 40, range 32
Mean = 219 ÷ 7 = 31.29. Median = middle value in order = 32. Mode = most common = 40. Range = 40 − 8 = 32.
6. Mean 22.86, median 25, mode none, range 28
Mean = 160 ÷ 7 = 22.86. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 32 − 4 = 28.
7. Mean 15.86, median 15, mode 10, range 28
Mean = 111 ÷ 7 = 15.86. Median = middle value in order = 15. Mode = most common = 10. Range = 31 − 3 = 28.
8. Mean 19, median 20, mode 29, range 31
Mean = 133 ÷ 7 = 19. Median = middle value in order = 20. Mode = most common = 29. Range = 33 − 2 = 31.
9. Mean 25.11, median 22, mode none, range 50
Mean = 226 ÷ 9 = 25.11. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 52 − 2 = 50.
10. Mean 40.22, median 48, mode 15, range 44
Mean = 362 ÷ 9 = 40.22. Median = middle value in order = 48. Mode = most common = 15. Range = 59 − 15 = 44.
11. Mean 39.11, median 47, mode none, range 52
Mean = 352 ÷ 9 = 39.11. Median = middle value in order = 47. Mode = most common = no repeated value. Range = 59 − 7 = 52.
12. Mean 22.78, median 17, mode none, range 52
Mean = 205 ÷ 9 = 22.78. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 55 − 3 = 52.
Worked examples
For the data 6, 8, 9, 18, 20, find the mean, median, mode and range.
- Mean = 61 ÷ 5 = 12.2.
- Median = middle value in order = 9.
- Mode = most common = no repeated value.
- Range = 20 − 6 = 14.
- Answer: Mean 12.2, median 9, mode none, range 14
For the data 3, 4, 6, 7, 14, 25, 25, find the mean, median, mode and range.
- Mean = 84 ÷ 7 = 12.
- Median = middle value in order = 7.
- Mode = most common = 25.
- Range = 25 − 3 = 22.
- Answer: Mean 12, median 7, mode 25, range 22
For the data 1, 2, 10, 15, 30, 32, 32, 40, 59, find the mean, median, mode and range.
- Mean = 221 ÷ 9 = 24.56.
- Median = middle value in order = 30.
- Mode = most common = 32.
- Range = 59 − 1 = 58.
- Answer: Mean 24.56, median 30, mode 32, range 58
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 Mode Common Errors quiz really free?
- Yes. Every quizzes 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 Mode Word Problems, Working with Mode Techniques, Introducing Mode. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Mode Common Errors?
- Move on to Introducing Mode, Mode in Context, which build directly on this idea.
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