Free Grade 3 Working with Range in Context Common Errors Quizzes
Free Grade 3 quizzes for Working with 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
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with range in context common errors
Explain working with range in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range in context common errors
Calculate working with range in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range in context common errors
Compare working with range in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with range in context common errors
Justify working with 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 Working with 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, 16, 16, 19, find the mean, median, mode and range.[1]
- 2.For the data 2, 8, 10, 14, 19, find the mean, median, mode and range.[1]
- 3.For the data 2, 5, 11, 16, 19, find the mean, median, mode and range.[1]
- 4.For the data 5, 6, 9, 10, 11, find the mean, median, mode and range.[1]
- 5.For the data 7, 9, 11, 14, 18, 18, 25, find the mean, median, mode and range.[2]
- 6.For the data 6, 12, 25, 27, 38, 40, 40, find the mean, median, mode and range.[2]
- 7.For the data 3, 9, 14, 18, 21, 34, 35, find the mean, median, mode and range.[2]
- 8.For the data 5, 8, 19, 21, 24, 35, 36, find the mean, median, mode and range.[2]
- 9.For the data 5, 25, 26, 32, 40, 40, 43, 48, 58, find the mean, median, mode and range.[3]
- 10.For the data 5, 12, 15, 16, 28, 39, 48, 51, 53, find the mean, median, mode and range.[3]
- 11.For the data 1, 8, 16, 16, 33, 46, 47, 48, 54, find the mean, median, mode and range.[3]
- 12.For the data 15, 18, 30, 31, 34, 39, 45, 45, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.8, median 16, mode 16, range 18
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 16. Mode = most common = 16. Range = 19 − 1 = 18.
2. Mean 10.6, median 10, mode none, range 17
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 19 − 2 = 17.
3. Mean 10.6, median 11, mode none, range 17
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 19 − 2 = 17.
4. Mean 8.2, median 9, mode none, range 6
Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 11 − 5 = 6.
5. Mean 14.57, median 14, mode 18, range 18
Mean = 102 ÷ 7 = 14.57. Median = middle value in order = 14. Mode = most common = 18. Range = 25 − 7 = 18.
6. Mean 26.86, median 27, mode 40, range 34
Mean = 188 ÷ 7 = 26.86. Median = middle value in order = 27. Mode = most common = 40. Range = 40 − 6 = 34.
7. Mean 19.14, median 18, mode none, range 32
Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 35 − 3 = 32.
8. Mean 21.14, median 21, mode none, range 31
Mean = 148 ÷ 7 = 21.14. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 36 − 5 = 31.
9. Mean 35.22, median 40, mode 40, range 53
Mean = 317 ÷ 9 = 35.22. Median = middle value in order = 40. Mode = most common = 40. Range = 58 − 5 = 53.
10. Mean 29.67, median 28, mode none, range 48
Mean = 267 ÷ 9 = 29.67. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 53 − 5 = 48.
11. Mean 29.89, median 33, mode 16, range 53
Mean = 269 ÷ 9 = 29.89. Median = middle value in order = 33. Mode = most common = 16. Range = 54 − 1 = 53.
12. Mean 34.89, median 34, mode 45, range 42
Mean = 314 ÷ 9 = 34.89. Median = middle value in order = 34. Mode = most common = 45. Range = 57 − 15 = 42.
Worked examples
For the data 1, 3, 10, 14, 17, find the mean, median, mode and range.
- Mean = 45 ÷ 5 = 9.
- Median = middle value in order = 10.
- Mode = most common = no repeated value.
- Range = 17 − 1 = 16.
- Answer: Mean 9, median 10, mode none, range 16
For the data 3, 16, 17, 22, 26, 29, 39, find the mean, median, mode and range.
- Mean = 152 ÷ 7 = 21.71.
- Median = middle value in order = 22.
- Mode = most common = no repeated value.
- Range = 39 − 3 = 36.
- Answer: Mean 21.71, median 22, mode none, range 36
For the data 26, 29, 35, 44, 51, 53, 54, 57, 59, find the mean, median, mode and range.
- Mean = 408 ÷ 9 = 45.33.
- Median = middle value in order = 51.
- Mode = most common = no repeated value.
- Range = 59 − 26 = 33.
- Answer: Mean 45.33, median 51, mode none, range 33
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
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- What should a learner already know before this?
- Start with Rules and Methods in Range in Context Common Errors, Key Vocabulary of Range in Context Common Errors, Range in Context Word Problems. 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 in Context Common Errors?
- Move on to Range in Context Common Errors in Examinations, Range in Context Essentials, Range in Context Techniques, Range in Context Word Problems, which build directly on this idea.
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