Free Grade 3 Working with Averages from Tables Lessons
Free Grade 3 lessons for Working with Averages from Tables: 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
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with averages from tables
Explain working with averages from tables accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with averages from tables
Calculate working with averages from tables accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with averages from tables
Compare working with averages from tables accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with averages from tables
Justify working with averages from tables 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 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, 6, 7, 13, 20, find the mean, median, mode and range.[1]
- 2.For the data 3, 7, 11, 17, 18, find the mean, median, mode and range.[1]
- 3.For the data 6, 8, 13, 19, 20, find the mean, median, mode and range.[1]
- 4.For the data 3, 5, 5, 7, 20, find the mean, median, mode and range.[1]
- 5.For the data 3, 4, 4, 4, 28, 36, 38, find the mean, median, mode and range.[2]
- 6.For the data 8, 12, 29, 29, 31, 37, 39, find the mean, median, mode and range.[2]
- 7.For the data 15, 17, 20, 24, 26, 36, 38, find the mean, median, mode and range.[2]
- 8.For the data 2, 9, 17, 23, 28, 29, 37, find the mean, median, mode and range.[2]
- 9.For the data 3, 15, 22, 26, 28, 45, 49, 55, 60, find the mean, median, mode and range.[3]
- 10.For the data 10, 14, 16, 30, 35, 37, 42, 57, 57, find the mean, median, mode and range.[3]
- 11.For the data 1, 1, 13, 26, 34, 42, 53, 55, 57, find the mean, median, mode and range.[3]
- 12.For the data 13, 14, 31, 35, 43, 47, 50, 52, 58, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.8, median 7, mode none, range 17
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 20 − 3 = 17.
2. Mean 11.2, median 11, mode none, range 15
Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 18 − 3 = 15.
3. Mean 13.2, median 13, mode none, range 14
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 20 − 6 = 14.
4. Mean 8, median 5, mode 5, range 17
Mean = 40 ÷ 5 = 8. Median = middle value in order = 5. Mode = most common = 5. Range = 20 − 3 = 17.
5. Mean 16.71, median 4, mode 4, range 35
Mean = 117 ÷ 7 = 16.71. Median = middle value in order = 4. Mode = most common = 4. Range = 38 − 3 = 35.
6. Mean 26.43, median 29, mode 29, range 31
Mean = 185 ÷ 7 = 26.43. Median = middle value in order = 29. Mode = most common = 29. Range = 39 − 8 = 31.
7. Mean 25.14, median 24, mode none, range 23
Mean = 176 ÷ 7 = 25.14. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 38 − 15 = 23.
8. Mean 20.71, median 23, mode none, range 35
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 37 − 2 = 35.
9. Mean 33.67, median 28, mode none, range 57
Mean = 303 ÷ 9 = 33.67. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 60 − 3 = 57.
10. Mean 33.11, median 35, mode 57, range 47
Mean = 298 ÷ 9 = 33.11. Median = middle value in order = 35. Mode = most common = 57. Range = 57 − 10 = 47.
11. Mean 31.33, median 34, mode 1, range 56
Mean = 282 ÷ 9 = 31.33. Median = middle value in order = 34. Mode = most common = 1. Range = 57 − 1 = 56.
12. Mean 38.11, median 43, mode none, range 45
Mean = 343 ÷ 9 = 38.11. Median = middle value in order = 43. Mode = most common = no repeated value. Range = 58 − 13 = 45.
Worked examples
For the data 1, 1, 1, 8, 10, find the mean, median, mode and range.
- Mean = 21 ÷ 5 = 4.2.
- Median = middle value in order = 1.
- Mode = most common = 1.
- Range = 10 − 1 = 9.
- Answer: Mean 4.2, median 1, mode 1, range 9
For the data 5, 7, 17, 20, 23, 24, 38, find the mean, median, mode and range.
- Mean = 134 ÷ 7 = 19.14.
- Median = middle value in order = 20.
- Mode = most common = no repeated value.
- Range = 38 − 5 = 33.
- Answer: Mean 19.14, median 20, mode none, range 33
For the data 6, 9, 9, 26, 32, 41, 50, 56, 58, find the mean, median, mode and range.
- Mean = 287 ÷ 9 = 31.89.
- Median = middle value in order = 32.
- Mode = most common = 9.
- Range = 58 − 6 = 52.
- Answer: Mean 31.89, median 32, mode 9, range 52
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
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Frequently asked
- Is this Grade 3 Working with Averages from Tables lesson really free?
- Yes. Every lessons 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, Range. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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?
- Move on to Averages from Tables in Context, Mean, Median, Mode, which build directly on this idea.
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