Free Grade 3 Working with Range Common Errors Quizzes
Free Grade 3 quizzes for Working with 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
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with range common errors
Identify working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with range common errors
Explain working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range common errors
Calculate working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range common errors
Compare working with 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 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 4, 5, 5, 16, 18, find the mean, median, mode and range.[1]
- 2.For the data 3, 7, 10, 13, 14, find the mean, median, mode and range.[1]
- 3.For the data 5, 6, 7, 13, 16, find the mean, median, mode and range.[1]
- 4.For the data 4, 7, 14, 18, 20, find the mean, median, mode and range.[1]
- 5.For the data 4, 6, 12, 18, 30, 39, 40, find the mean, median, mode and range.[2]
- 6.For the data 2, 2, 10, 11, 19, 35, 38, find the mean, median, mode and range.[2]
- 7.For the data 5, 12, 15, 21, 21, 27, 30, find the mean, median, mode and range.[2]
- 8.For the data 1, 3, 3, 18, 31, 36, 39, find the mean, median, mode and range.[2]
- 9.For the data 9, 18, 23, 24, 32, 32, 44, 46, 55, find the mean, median, mode and range.[3]
- 10.For the data 6, 6, 23, 25, 32, 47, 50, 52, 59, find the mean, median, mode and range.[3]
- 11.For the data 6, 6, 20, 23, 29, 34, 35, 38, 47, find the mean, median, mode and range.[3]
- 12.For the data 3, 4, 5, 31, 35, 38, 40, 45, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.6, median 5, mode 5, range 14
Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 5. Mode = most common = 5. Range = 18 − 4 = 14.
2. 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 = 14 − 3 = 11.
3. Mean 9.4, median 7, mode none, range 11
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 16 − 5 = 11.
4. Mean 12.6, median 14, mode none, range 16
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 4 = 16.
5. Mean 21.29, median 18, mode none, range 36
Mean = 149 ÷ 7 = 21.29. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 40 − 4 = 36.
6. Mean 16.71, median 11, mode 2, range 36
Mean = 117 ÷ 7 = 16.71. Median = middle value in order = 11. Mode = most common = 2. Range = 38 − 2 = 36.
7. Mean 18.71, median 21, mode 21, range 25
Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 21. Mode = most common = 21. Range = 30 − 5 = 25.
8. Mean 18.71, median 18, mode 3, range 38
Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 18. Mode = most common = 3. Range = 39 − 1 = 38.
9. Mean 31.44, median 32, mode 32, range 46
Mean = 283 ÷ 9 = 31.44. Median = middle value in order = 32. Mode = most common = 32. Range = 55 − 9 = 46.
10. Mean 33.33, median 32, mode 6, range 53
Mean = 300 ÷ 9 = 33.33. Median = middle value in order = 32. Mode = most common = 6. Range = 59 − 6 = 53.
11. Mean 26.44, median 29, mode 6, range 41
Mean = 238 ÷ 9 = 26.44. Median = middle value in order = 29. Mode = most common = 6. Range = 47 − 6 = 41.
12. Mean 29, median 35, mode none, range 57
Mean = 261 ÷ 9 = 29. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 60 − 3 = 57.
Worked examples
For the data 2, 9, 10, 15, 18, find the mean, median, mode and range.
- Mean = 54 ÷ 5 = 10.8.
- Median = middle value in order = 10.
- Mode = most common = no repeated value.
- Range = 18 − 2 = 16.
- Answer: Mean 10.8, median 10, mode none, range 16
For the data 1, 9, 12, 22, 37, 37, 38, find the mean, median, mode and range.
- Mean = 156 ÷ 7 = 22.29.
- Median = middle value in order = 22.
- Mode = most common = 37.
- Range = 38 − 1 = 37.
- Answer: Mean 22.29, median 22, mode 37, range 37
For the data 5, 7, 35, 37, 46, 46, 50, 51, 51, find the mean, median, mode and range.
- Mean = 328 ÷ 9 = 36.44.
- Median = middle value in order = 46.
- Mode = most common = 46 and 51.
- Range = 51 − 5 = 46.
- Answer: Mean 36.44, median 46, mode 46 and 51, range 46
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 Range 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 Range Word Problems, Working with Range Techniques, Introducing Range. 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 Range Common Errors?
- Move on to Introducing Range, Range in Context, which build directly on this idea.
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