Free Grade 3 Working with Averages from Tables Essentials Lessons
Free Grade 3 lessons 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
30 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, 2, 10, 14, find the mean, median, mode and range.[1]
- 2.For the data 1, 11, 12, 13, 17, find the mean, median, mode and range.[1]
- 3.For the data 1, 9, 9, 13, 16, find the mean, median, mode and range.[1]
- 4.For the data 3, 4, 15, 20, 20, find the mean, median, mode and range.[1]
- 5.For the data 2, 2, 8, 16, 29, 30, 33, find the mean, median, mode and range.[2]
- 6.For the data 12, 12, 15, 22, 27, 27, 37, find the mean, median, mode and range.[2]
- 7.For the data 4, 14, 25, 26, 28, 31, 34, find the mean, median, mode and range.[2]
- 8.For the data 5, 5, 13, 28, 37, 38, 38, find the mean, median, mode and range.[2]
- 9.For the data 19, 20, 24, 24, 32, 37, 38, 40, 53, find the mean, median, mode and range.[3]
- 10.For the data 9, 22, 27, 28, 32, 35, 38, 58, 60, find the mean, median, mode and range.[3]
- 11.For the data 23, 24, 33, 39, 40, 41, 42, 45, 46, find the mean, median, mode and range.[3]
- 12.For the data 11, 17, 30, 35, 35, 36, 38, 44, 46, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 5.8, median 2, mode 2, range 13
Mean = 29 ÷ 5 = 5.8. Median = middle value in order = 2. Mode = most common = 2. Range = 14 − 1 = 13.
2. Mean 10.8, median 12, mode none, range 16
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 17 − 1 = 16.
3. Mean 9.6, median 9, mode 9, range 15
Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 9. Mode = most common = 9. Range = 16 − 1 = 15.
4. Mean 12.4, median 15, mode 20, range 17
Mean = 62 ÷ 5 = 12.4. Median = middle value in order = 15. Mode = most common = 20. Range = 20 − 3 = 17.
5. Mean 17.14, median 16, mode 2, range 31
Mean = 120 ÷ 7 = 17.14. Median = middle value in order = 16. Mode = most common = 2. Range = 33 − 2 = 31.
6. Mean 21.71, median 22, mode 12 and 27, range 25
Mean = 152 ÷ 7 = 21.71. Median = middle value in order = 22. Mode = most common = 12 and 27. Range = 37 − 12 = 25.
7. Mean 23.14, median 26, mode none, range 30
Mean = 162 ÷ 7 = 23.14. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 34 − 4 = 30.
8. Mean 23.43, median 28, mode 5 and 38, range 33
Mean = 164 ÷ 7 = 23.43. Median = middle value in order = 28. Mode = most common = 5 and 38. Range = 38 − 5 = 33.
9. Mean 31.89, median 32, mode 24, range 34
Mean = 287 ÷ 9 = 31.89. Median = middle value in order = 32. Mode = most common = 24. Range = 53 − 19 = 34.
10. Mean 34.33, median 32, mode none, range 51
Mean = 309 ÷ 9 = 34.33. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 60 − 9 = 51.
11. Mean 37, median 40, mode none, range 23
Mean = 333 ÷ 9 = 37. Median = middle value in order = 40. Mode = most common = no repeated value. Range = 46 − 23 = 23.
12. Mean 32.44, median 35, mode 35, range 35
Mean = 292 ÷ 9 = 32.44. Median = middle value in order = 35. Mode = most common = 35. Range = 46 − 11 = 35.
Worked examples
For the data 5, 9, 17, 19, 20, find the mean, median, mode and range.
- Mean = 70 ÷ 5 = 14.
- Median = middle value in order = 17.
- Mode = most common = no repeated value.
- Range = 20 − 5 = 15.
- Answer: Mean 14, median 17, mode none, range 15
For the data 1, 3, 3, 22, 24, 26, 31, find the mean, median, mode and range.
- Mean = 110 ÷ 7 = 15.71.
- Median = middle value in order = 22.
- Mode = most common = 3.
- Range = 31 − 1 = 30.
- Answer: Mean 15.71, median 22, mode 3, range 30
For the data 2, 5, 24, 32, 34, 42, 45, 50, 56, find the mean, median, mode and range.
- Mean = 290 ÷ 9 = 32.22.
- Median = middle value in order = 34.
- Mode = most common = no repeated value.
- Range = 56 − 2 = 54.
- Answer: Mean 32.22, median 34, mode none, range 54
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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- 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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- 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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