Free Grade 3 Working with Averages from Tables Essentials Lesson Plans
Free Grade 3 lesson plans 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
35 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 1, 2, 18, 20, 20, find the mean, median, mode and range.[1]
- 2.For the data 6, 11, 12, 16, 19, find the mean, median, mode and range.[1]
- 3.For the data 3, 4, 5, 6, 7, find the mean, median, mode and range.[1]
- 4.For the data 5, 6, 8, 11, 17, find the mean, median, mode and range.[1]
- 5.For the data 7, 8, 20, 21, 22, 31, 39, find the mean, median, mode and range.[2]
- 6.For the data 6, 18, 24, 28, 31, 36, 39, find the mean, median, mode and range.[2]
- 7.For the data 5, 15, 15, 22, 25, 28, 39, find the mean, median, mode and range.[2]
- 8.For the data 2, 9, 11, 12, 15, 19, 35, find the mean, median, mode and range.[2]
- 9.For the data 17, 31, 31, 38, 46, 47, 48, 52, 56, find the mean, median, mode and range.[3]
- 10.For the data 1, 3, 12, 17, 24, 33, 39, 54, 56, find the mean, median, mode and range.[3]
- 11.For the data 1, 4, 21, 34, 39, 51, 54, 55, 56, find the mean, median, mode and range.[3]
- 12.For the data 5, 9, 20, 22, 36, 37, 51, 55, 55, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.2, median 18, mode 20, range 19
Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 18. Mode = most common = 20. Range = 20 − 1 = 19.
2. Mean 12.8, median 12, mode none, range 13
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 19 − 6 = 13.
3. Mean 5, median 5, mode none, range 4
Mean = 25 ÷ 5 = 5. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 7 − 3 = 4.
4. Mean 9.4, median 8, mode none, range 12
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 17 − 5 = 12.
5. Mean 21.14, median 21, mode none, range 32
Mean = 148 ÷ 7 = 21.14. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 39 − 7 = 32.
6. Mean 26, median 28, mode none, range 33
Mean = 182 ÷ 7 = 26. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 39 − 6 = 33.
7. Mean 21.29, median 22, mode 15, range 34
Mean = 149 ÷ 7 = 21.29. Median = middle value in order = 22. Mode = most common = 15. Range = 39 − 5 = 34.
8. Mean 14.71, median 12, mode none, range 33
Mean = 103 ÷ 7 = 14.71. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 35 − 2 = 33.
9. Mean 40.67, median 46, mode 31, range 39
Mean = 366 ÷ 9 = 40.67. Median = middle value in order = 46. Mode = most common = 31. Range = 56 − 17 = 39.
10. Mean 26.56, median 24, mode none, range 55
Mean = 239 ÷ 9 = 26.56. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 56 − 1 = 55.
11. Mean 35, median 39, mode none, range 55
Mean = 315 ÷ 9 = 35. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 56 − 1 = 55.
12. Mean 32.22, median 36, mode 55, range 50
Mean = 290 ÷ 9 = 32.22. Median = middle value in order = 36. Mode = most common = 55. Range = 55 − 5 = 50.
Worked examples
For the data 3, 9, 10, 11, 16, find the mean, median, mode and range.
- Mean = 49 ÷ 5 = 9.8.
- Median = middle value in order = 10.
- Mode = most common = no repeated value.
- Range = 16 − 3 = 13.
- Answer: Mean 9.8, median 10, mode none, range 13
For the data 1, 10, 12, 14, 16, 30, 35, find the mean, median, mode and range.
- Mean = 118 ÷ 7 = 16.86.
- Median = middle value in order = 14.
- Mode = most common = no repeated value.
- Range = 35 − 1 = 34.
- Answer: Mean 16.86, median 14, mode none, range 34
For the data 24, 34, 35, 36, 43, 44, 49, 60, 60, find the mean, median, mode and range.
- Mean = 385 ÷ 9 = 42.78.
- Median = middle value in order = 43.
- Mode = most common = 60.
- Range = 60 − 24 = 36.
- Answer: Mean 42.78, median 43, mode 60, range 36
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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- Start with Introducing Averages from Tables. Each one has its own free lesson, worksheet and quiz.
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- 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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