Free Grade 3 Working with Averages from Tables Essentials Quizzes
Free Grade 3 quizzes for Working with Averages from Tables 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 working with averages from tables essentials
Identify working with averages from tables essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with averages from tables essentials
Explain working with averages from tables essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with averages from tables essentials
Calculate working with averages from tables essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with averages from tables essentials
Compare working with averages from tables 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 Averages from Tables 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 4, 9, 11, 15, 20, find the mean, median, mode and range.[1]
- 2.For the data 1, 4, 13, 15, 16, find the mean, median, mode and range.[1]
- 3.For the data 4, 14, 15, 18, 19, find the mean, median, mode and range.[1]
- 4.For the data 6, 9, 9, 17, 19, find the mean, median, mode and range.[1]
- 5.For the data 13, 16, 18, 20, 22, 27, 35, find the mean, median, mode and range.[2]
- 6.For the data 17, 21, 23, 27, 32, 36, 37, find the mean, median, mode and range.[2]
- 7.For the data 9, 14, 15, 16, 34, 36, 36, find the mean, median, mode and range.[2]
- 8.For the data 14, 15, 20, 21, 29, 34, 36, find the mean, median, mode and range.[2]
- 9.For the data 3, 5, 16, 16, 20, 20, 37, 43, 47, find the mean, median, mode and range.[3]
- 10.For the data 14, 19, 20, 22, 34, 39, 46, 47, 54, find the mean, median, mode and range.[3]
- 11.For the data 8, 16, 16, 29, 34, 41, 51, 52, 52, find the mean, median, mode and range.[3]
- 12.For the data 9, 27, 33, 43, 48, 48, 55, 57, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.8, median 11, mode none, range 16
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 20 − 4 = 16.
2. Mean 9.8, median 13, mode none, range 15
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 16 − 1 = 15.
3. Mean 14, median 15, mode none, range 15
Mean = 70 ÷ 5 = 14. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 19 − 4 = 15.
4. Mean 12, median 9, mode 9, range 13
Mean = 60 ÷ 5 = 12. Median = middle value in order = 9. Mode = most common = 9. Range = 19 − 6 = 13.
5. Mean 21.57, median 20, mode none, range 22
Mean = 151 ÷ 7 = 21.57. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 35 − 13 = 22.
6. Mean 27.57, median 27, mode none, range 20
Mean = 193 ÷ 7 = 27.57. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 37 − 17 = 20.
7. Mean 22.86, median 16, mode 36, range 27
Mean = 160 ÷ 7 = 22.86. Median = middle value in order = 16. Mode = most common = 36. Range = 36 − 9 = 27.
8. Mean 24.14, median 21, mode none, range 22
Mean = 169 ÷ 7 = 24.14. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 36 − 14 = 22.
9. Mean 23, median 20, mode 16 and 20, range 44
Mean = 207 ÷ 9 = 23. Median = middle value in order = 20. Mode = most common = 16 and 20. Range = 47 − 3 = 44.
10. Mean 32.78, median 34, mode none, range 40
Mean = 295 ÷ 9 = 32.78. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 54 − 14 = 40.
11. Mean 33.22, median 34, mode 16 and 52, range 44
Mean = 299 ÷ 9 = 33.22. Median = middle value in order = 34. Mode = most common = 16 and 52. Range = 52 − 8 = 44.
12. Mean 41.89, median 48, mode 48 and 57, range 48
Mean = 377 ÷ 9 = 41.89. Median = middle value in order = 48. Mode = most common = 48 and 57. Range = 57 − 9 = 48.
Worked examples
For the data 1, 8, 11, 11, 17, find the mean, median, mode and range.
- Mean = 48 ÷ 5 = 9.6.
- Median = middle value in order = 11.
- Mode = most common = 11.
- Range = 17 − 1 = 16.
- Answer: Mean 9.6, median 11, mode 11, range 16
For the data 8, 20, 21, 27, 28, 31, 38, find the mean, median, mode and range.
- Mean = 173 ÷ 7 = 24.71.
- Median = middle value in order = 27.
- Mode = most common = no repeated value.
- Range = 38 − 8 = 30.
- Answer: Mean 24.71, median 27, mode none, range 30
For the data 6, 9, 15, 15, 18, 21, 38, 45, 56, find the mean, median, mode and range.
- Mean = 223 ÷ 9 = 24.78.
- Median = middle value in order = 18.
- Mode = most common = 15.
- Range = 56 − 6 = 50.
- Answer: Mean 24.78, median 18, mode 15, range 50
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 Introducing Averages from Tables. Each one has its own free lesson, worksheet and quiz.
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- 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 Averages from Tables Essentials?
- Move on to Working with Averages from Tables Techniques, Working with Averages from Tables Word Problems, Working with Averages from Tables Common Errors, Introducing Averages from Tables, which build directly on this idea.
Related resources
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