Free Grade 3 Introducing Mean Common Errors Quizzes
Free Grade 3 quizzes for Introducing Mean 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
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing mean common errors
Identify introducing mean common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing mean common errors
Explain introducing mean common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing mean common errors
Calculate introducing mean common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing mean common errors
Compare introducing mean 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 Mean 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 8, 9, 9, 15, 15, find the mean, median, mode and range.[1]
- 2.For the data 4, 7, 9, 12, 19, find the mean, median, mode and range.[1]
- 3.For the data 1, 2, 3, 6, 9, find the mean, median, mode and range.[1]
- 4.For the data 4, 7, 10, 11, 15, find the mean, median, mode and range.[1]
- 5.For the data 2, 4, 21, 25, 31, 31, 39, find the mean, median, mode and range.[2]
- 6.For the data 2, 4, 24, 24, 27, 34, 40, find the mean, median, mode and range.[2]
- 7.For the data 13, 14, 16, 23, 24, 24, 30, find the mean, median, mode and range.[2]
- 8.For the data 4, 5, 13, 28, 29, 30, 39, find the mean, median, mode and range.[2]
- 9.For the data 3, 9, 9, 12, 17, 33, 36, 48, 51, find the mean, median, mode and range.[3]
- 10.For the data 1, 13, 18, 18, 20, 39, 39, 47, 60, find the mean, median, mode and range.[3]
- 11.For the data 3, 5, 24, 31, 35, 41, 42, 51, 55, find the mean, median, mode and range.[3]
- 12.For the data 4, 7, 21, 30, 39, 41, 54, 54, 55, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.2, median 9, mode 9 and 15, range 7
Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 9. Mode = most common = 9 and 15. Range = 15 − 8 = 7.
2. Mean 10.2, median 9, mode none, range 15
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 19 − 4 = 15.
3. Mean 4.2, median 3, mode none, range 8
Mean = 21 ÷ 5 = 4.2. Median = middle value in order = 3. Mode = most common = no repeated value. Range = 9 − 1 = 8.
4. Mean 9.4, median 10, mode none, range 11
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 15 − 4 = 11.
5. Mean 21.86, median 25, mode 31, range 37
Mean = 153 ÷ 7 = 21.86. Median = middle value in order = 25. Mode = most common = 31. Range = 39 − 2 = 37.
6. Mean 22.14, median 24, mode 24, range 38
Mean = 155 ÷ 7 = 22.14. Median = middle value in order = 24. Mode = most common = 24. Range = 40 − 2 = 38.
7. Mean 20.57, median 23, mode 24, range 17
Mean = 144 ÷ 7 = 20.57. Median = middle value in order = 23. Mode = most common = 24. Range = 30 − 13 = 17.
8. Mean 21.14, median 28, mode none, range 35
Mean = 148 ÷ 7 = 21.14. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 39 − 4 = 35.
9. Mean 24.22, median 17, mode 9, range 48
Mean = 218 ÷ 9 = 24.22. Median = middle value in order = 17. Mode = most common = 9. Range = 51 − 3 = 48.
10. Mean 28.33, median 20, mode 18 and 39, range 59
Mean = 255 ÷ 9 = 28.33. Median = middle value in order = 20. Mode = most common = 18 and 39. Range = 60 − 1 = 59.
11. Mean 31.89, median 35, mode none, range 52
Mean = 287 ÷ 9 = 31.89. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 55 − 3 = 52.
12. Mean 33.89, median 39, mode 54, range 51
Mean = 305 ÷ 9 = 33.89. Median = middle value in order = 39. Mode = most common = 54. Range = 55 − 4 = 51.
Worked examples
For the data 7, 8, 10, 17, 18, find the mean, median, mode and range.
- Mean = 60 ÷ 5 = 12.
- Median = middle value in order = 10.
- Mode = most common = no repeated value.
- Range = 18 − 7 = 11.
- Answer: Mean 12, median 10, mode none, range 11
For the data 3, 6, 7, 9, 10, 23, 33, find the mean, median, mode and range.
- Mean = 91 ÷ 7 = 13.
- Median = middle value in order = 9.
- Mode = most common = no repeated value.
- Range = 33 − 3 = 30.
- Answer: Mean 13, median 9, mode none, range 30
For the data 1, 24, 31, 42, 43, 51, 51, 55, 59, find the mean, median, mode and range.
- Mean = 357 ÷ 9 = 39.67.
- Median = middle value in order = 43.
- Mode = most common = 51.
- Range = 59 − 1 = 58.
- Answer: Mean 39.67, median 43, mode 51, 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 Introducing Mean 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 Introducing Mean Word Problems, Introducing Mean Techniques, Measurement. 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 Introducing Mean Common Errors?
- Move on to Working with Mean, Mean in Context, which build directly on this idea.
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