Free Grade 3 Introducing Range Essentials Quizzes
Free Grade 3 quizzes for Introducing 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing range essentials
Identify introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing range essentials
Explain introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing range essentials
Calculate introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing range essentials
Compare introducing 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 Introducing 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 7, 11, 12, 12, 20, find the mean, median, mode and range.[1]
- 2.For the data 4, 4, 5, 6, 20, find the mean, median, mode and range.[1]
- 3.For the data 9, 13, 17, 18, 18, find the mean, median, mode and range.[1]
- 4.For the data 1, 3, 10, 10, 12, find the mean, median, mode and range.[1]
- 5.For the data 17, 23, 31, 33, 36, 37, 38, find the mean, median, mode and range.[2]
- 6.For the data 5, 9, 9, 17, 20, 32, 39, find the mean, median, mode and range.[2]
- 7.For the data 13, 14, 16, 18, 29, 36, 36, find the mean, median, mode and range.[2]
- 8.For the data 4, 5, 10, 11, 27, 31, 40, find the mean, median, mode and range.[2]
- 9.For the data 6, 7, 14, 20, 24, 31, 42, 44, 50, find the mean, median, mode and range.[3]
- 10.For the data 5, 12, 14, 18, 20, 31, 41, 57, 57, find the mean, median, mode and range.[3]
- 11.For the data 7, 27, 42, 46, 49, 50, 55, 57, 58, find the mean, median, mode and range.[3]
- 12.For the data 6, 7, 8, 10, 13, 15, 26, 41, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.4, median 12, mode 12, range 13
Mean = 62 ÷ 5 = 12.4. Median = middle value in order = 12. Mode = most common = 12. Range = 20 − 7 = 13.
2. Mean 7.8, median 5, mode 4, range 16
Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 5. Mode = most common = 4. Range = 20 − 4 = 16.
3. Mean 15, median 17, mode 18, range 9
Mean = 75 ÷ 5 = 15. Median = middle value in order = 17. Mode = most common = 18. Range = 18 − 9 = 9.
4. Mean 7.2, median 10, mode 10, range 11
Mean = 36 ÷ 5 = 7.2. Median = middle value in order = 10. Mode = most common = 10. Range = 12 − 1 = 11.
5. Mean 30.71, median 33, mode none, range 21
Mean = 215 ÷ 7 = 30.71. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 38 − 17 = 21.
6. Mean 18.71, median 17, mode 9, range 34
Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 17. Mode = most common = 9. Range = 39 − 5 = 34.
7. Mean 23.14, median 18, mode 36, range 23
Mean = 162 ÷ 7 = 23.14. Median = middle value in order = 18. Mode = most common = 36. Range = 36 − 13 = 23.
8. Mean 18.29, median 11, mode none, range 36
Mean = 128 ÷ 7 = 18.29. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 40 − 4 = 36.
9. Mean 26.44, median 24, mode none, range 44
Mean = 238 ÷ 9 = 26.44. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 50 − 6 = 44.
10. Mean 28.33, median 20, mode 57, range 52
Mean = 255 ÷ 9 = 28.33. Median = middle value in order = 20. Mode = most common = 57. Range = 57 − 5 = 52.
11. Mean 43.44, median 49, mode none, range 51
Mean = 391 ÷ 9 = 43.44. Median = middle value in order = 49. Mode = most common = no repeated value. Range = 58 − 7 = 51.
12. Mean 20.33, median 13, mode none, range 51
Mean = 183 ÷ 9 = 20.33. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 57 − 6 = 51.
Worked examples
For the data 3, 16, 18, 19, 19, find the mean, median, mode and range.
- Mean = 75 ÷ 5 = 15.
- Median = middle value in order = 18.
- Mode = most common = 19.
- Range = 19 − 3 = 16.
- Answer: Mean 15, median 18, mode 19, range 16
For the data 9, 11, 15, 21, 29, 31, 38, find the mean, median, mode and range.
- Mean = 154 ÷ 7 = 22.
- Median = middle value in order = 21.
- Mode = most common = no repeated value.
- Range = 38 − 9 = 29.
- Answer: Mean 22, median 21, mode none, range 29
For the data 13, 14, 17, 20, 25, 26, 29, 30, 44, find the mean, median, mode and range.
- Mean = 218 ÷ 9 = 24.22.
- Median = middle value in order = 25.
- Mode = most common = no repeated value.
- Range = 44 − 13 = 31.
- Answer: Mean 24.22, median 25, mode none, range 31
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 Introducing 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 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 Introducing Range Essentials?
- Move on to Introducing Range Techniques, Introducing Range Word Problems, Introducing Range Common Errors, Working with Range, which build directly on this idea.
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