Free Grade 3 Working with Averages from Tables Essentials Worksheets
Free Grade 3 worksheets 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
Foundation
15 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 3, 5, 10, 12, 14, find the mean, median, mode and range.[1]
- 2.For the data 5, 5, 6, 7, 12, find the mean, median, mode and range.[1]
- 3.For the data 3, 4, 5, 5, 16, find the mean, median, mode and range.[1]
- 4.For the data 8, 11, 13, 15, 15, find the mean, median, mode and range.[1]
- 5.For the data 4, 18, 19, 26, 27, 31, 39, find the mean, median, mode and range.[2]
- 6.For the data 3, 5, 10, 24, 27, 32, 32, find the mean, median, mode and range.[2]
- 7.For the data 8, 13, 14, 17, 23, 26, 27, find the mean, median, mode and range.[2]
- 8.For the data 1, 3, 9, 27, 29, 31, 37, find the mean, median, mode and range.[2]
- 9.For the data 5, 19, 24, 32, 38, 39, 40, 49, 60, find the mean, median, mode and range.[3]
- 10.For the data 11, 19, 32, 34, 47, 47, 50, 51, 53, find the mean, median, mode and range.[3]
- 11.For the data 1, 13, 14, 14, 38, 45, 49, 56, 58, find the mean, median, mode and range.[3]
- 12.For the data 3, 5, 7, 8, 13, 21, 34, 35, 53, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.8, median 10, mode none, range 11
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 14 − 3 = 11.
2. Mean 7, median 6, mode 5, range 7
Mean = 35 ÷ 5 = 7. Median = middle value in order = 6. Mode = most common = 5. Range = 12 − 5 = 7.
3. Mean 6.6, median 5, mode 5, range 13
Mean = 33 ÷ 5 = 6.6. Median = middle value in order = 5. Mode = most common = 5. Range = 16 − 3 = 13.
4. Mean 12.4, median 13, mode 15, range 7
Mean = 62 ÷ 5 = 12.4. Median = middle value in order = 13. Mode = most common = 15. Range = 15 − 8 = 7.
5. Mean 23.43, median 26, mode none, range 35
Mean = 164 ÷ 7 = 23.43. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 39 − 4 = 35.
6. Mean 19, median 24, mode 32, range 29
Mean = 133 ÷ 7 = 19. Median = middle value in order = 24. Mode = most common = 32. Range = 32 − 3 = 29.
7. Mean 18.29, median 17, mode none, range 19
Mean = 128 ÷ 7 = 18.29. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 27 − 8 = 19.
8. Mean 19.57, median 27, mode none, range 36
Mean = 137 ÷ 7 = 19.57. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 37 − 1 = 36.
9. Mean 34, median 38, mode none, range 55
Mean = 306 ÷ 9 = 34. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 60 − 5 = 55.
10. Mean 38.22, median 47, mode 47, range 42
Mean = 344 ÷ 9 = 38.22. Median = middle value in order = 47. Mode = most common = 47. Range = 53 − 11 = 42.
11. Mean 32, median 38, mode 14, range 57
Mean = 288 ÷ 9 = 32. Median = middle value in order = 38. Mode = most common = 14. Range = 58 − 1 = 57.
12. Mean 19.89, median 13, mode none, range 50
Mean = 179 ÷ 9 = 19.89. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 53 − 3 = 50.
Worked examples
For the data 1, 2, 8, 11, 16, find the mean, median, mode and range.
- Mean = 38 ÷ 5 = 7.6.
- Median = middle value in order = 8.
- Mode = most common = no repeated value.
- Range = 16 − 1 = 15.
- Answer: Mean 7.6, median 8, mode none, range 15
For the data 8, 12, 20, 21, 24, 28, 31, find the mean, median, mode and range.
- Mean = 144 ÷ 7 = 20.57.
- Median = middle value in order = 21.
- Mode = most common = no repeated value.
- Range = 31 − 8 = 23.
- Answer: Mean 20.57, median 21, mode none, range 23
For the data 7, 14, 30, 32, 34, 49, 50, 51, 52, find the mean, median, mode and range.
- Mean = 319 ÷ 9 = 35.44.
- Median = middle value in order = 34.
- Mode = most common = no repeated value.
- Range = 52 − 7 = 45.
- Answer: Mean 35.44, median 34, mode none, range 45
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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- Yes. Every worksheets 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 Averages from Tables. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 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.
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