Free Grade 3 Working with Range Essentials Quizzes
Free Grade 3 quizzes for Working with Range Essentials: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with range essentials
Identify working with range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with range essentials
Explain working with range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range essentials
Calculate working with range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range essentials
Compare working with range essentials 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 Essentials 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, 4, 5, 7, 13, find the mean, median, mode and range.[1]
- 2.For the data 3, 6, 9, 13, 13, find the mean, median, mode and range.[1]
- 3.For the data 7, 9, 14, 15, 16, find the mean, median, mode and range.[1]
- 4.For the data 4, 5, 6, 12, 15, find the mean, median, mode and range.[1]
- 5.For the data 3, 10, 23, 31, 36, 37, 38, find the mean, median, mode and range.[2]
- 6.For the data 2, 15, 18, 25, 29, 34, 36, find the mean, median, mode and range.[2]
- 7.For the data 3, 11, 15, 19, 20, 31, 35, find the mean, median, mode and range.[2]
- 8.For the data 13, 15, 20, 20, 22, 26, 37, find the mean, median, mode and range.[2]
- 9.For the data 20, 25, 27, 29, 33, 35, 47, 53, 59, find the mean, median, mode and range.[3]
- 10.For the data 13, 14, 21, 40, 42, 50, 54, 55, 58, find the mean, median, mode and range.[3]
- 11.For the data 20, 27, 28, 30, 33, 41, 45, 46, 57, find the mean, median, mode and range.[3]
- 12.For the data 2, 5, 8, 12, 14, 24, 24, 29, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 6.4, median 5, mode none, range 10
Mean = 32 ÷ 5 = 6.4. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 13 − 3 = 10.
2. Mean 8.8, median 9, mode 13, range 10
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 9. Mode = most common = 13. Range = 13 − 3 = 10.
3. Mean 12.2, median 14, mode none, range 9
Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 16 − 7 = 9.
4. Mean 8.4, median 6, mode none, range 11
Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 15 − 4 = 11.
5. Mean 25.43, median 31, mode none, range 35
Mean = 178 ÷ 7 = 25.43. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 38 − 3 = 35.
6. Mean 22.71, median 25, mode none, range 34
Mean = 159 ÷ 7 = 22.71. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 36 − 2 = 34.
7. Mean 19.14, median 19, mode none, range 32
Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 35 − 3 = 32.
8. Mean 21.86, median 20, mode 20, range 24
Mean = 153 ÷ 7 = 21.86. Median = middle value in order = 20. Mode = most common = 20. Range = 37 − 13 = 24.
9. Mean 36.44, median 33, mode none, range 39
Mean = 328 ÷ 9 = 36.44. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 59 − 20 = 39.
10. Mean 38.56, median 42, mode none, range 45
Mean = 347 ÷ 9 = 38.56. Median = middle value in order = 42. Mode = most common = no repeated value. Range = 58 − 13 = 45.
11. Mean 36.33, median 33, mode none, range 37
Mean = 327 ÷ 9 = 36.33. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 57 − 20 = 37.
12. Mean 19.78, median 14, mode 24, range 58
Mean = 178 ÷ 9 = 19.78. Median = middle value in order = 14. Mode = most common = 24. Range = 60 − 2 = 58.
Worked examples
For the data 2, 3, 11, 13, 17, find the mean, median, mode and range.
- Mean = 46 ÷ 5 = 9.2.
- Median = middle value in order = 11.
- Mode = most common = no repeated value.
- Range = 17 − 2 = 15.
- Answer: Mean 9.2, median 11, mode none, range 15
For the data 6, 17, 18, 18, 27, 32, 37, find the mean, median, mode and range.
- Mean = 155 ÷ 7 = 22.14.
- Median = middle value in order = 18.
- Mode = most common = 18.
- Range = 37 − 6 = 31.
- Answer: Mean 22.14, median 18, mode 18, range 31
For the data 14, 19, 20, 30, 30, 43, 48, 51, 55, find the mean, median, mode and range.
- Mean = 310 ÷ 9 = 34.44.
- Median = middle value in order = 30.
- Mode = most common = 30.
- Range = 55 − 14 = 41.
- Answer: Mean 34.44, median 30, mode 30, range 41
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
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Working with Range Essentials 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 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 Essentials?
- Move on to Working with Range Techniques, Working with Range Word Problems, Working with Range Common Errors, Introducing Range, which build directly on this idea.
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