Free Grade 3 Averages from Tables in Context Common Errors Worksheets
Free Grade 3 worksheets for Averages from Tables in Context Common Errors: 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 averages from tables in context common errors
Identify averages from tables in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain averages from tables in context common errors
Explain averages from tables in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate averages from tables in context common errors
Calculate averages from tables in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare averages from tables in context common errors
Compare averages from tables in context common errors 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 Averages from Tables in Context Common Errors 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, 4, 9, 12, 13, find the mean, median, mode and range.[1]
- 2.For the data 3, 13, 13, 17, 18, find the mean, median, mode and range.[1]
- 3.For the data 4, 5, 8, 14, 20, find the mean, median, mode and range.[1]
- 4.For the data 2, 5, 14, 19, 20, find the mean, median, mode and range.[1]
- 5.For the data 14, 22, 22, 25, 27, 29, 38, find the mean, median, mode and range.[2]
- 6.For the data 1, 2, 3, 23, 33, 35, 35, find the mean, median, mode and range.[2]
- 7.For the data 5, 5, 16, 18, 19, 24, 36, find the mean, median, mode and range.[2]
- 8.For the data 1, 8, 9, 12, 25, 27, 37, find the mean, median, mode and range.[2]
- 9.For the data 4, 7, 17, 21, 25, 32, 37, 54, 56, find the mean, median, mode and range.[3]
- 10.For the data 6, 19, 19, 21, 30, 49, 55, 56, 57, find the mean, median, mode and range.[3]
- 11.For the data 2, 2, 5, 5, 22, 30, 31, 32, 53, find the mean, median, mode and range.[3]
- 12.For the data 10, 30, 36, 40, 40, 40, 45, 48, 51, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 7.8, median 9, mode none, range 12
Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 13 − 1 = 12.
2. Mean 12.8, median 13, mode 13, range 15
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 13. Mode = most common = 13. Range = 18 − 3 = 15.
3. Mean 10.2, median 8, mode none, range 16
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 20 − 4 = 16.
4. Mean 12, median 14, mode none, range 18
Mean = 60 ÷ 5 = 12. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 2 = 18.
5. Mean 25.29, median 25, mode 22, range 24
Mean = 177 ÷ 7 = 25.29. Median = middle value in order = 25. Mode = most common = 22. Range = 38 − 14 = 24.
6. Mean 18.86, median 23, mode 35, range 34
Mean = 132 ÷ 7 = 18.86. Median = middle value in order = 23. Mode = most common = 35. Range = 35 − 1 = 34.
7. Mean 17.57, median 18, mode 5, range 31
Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 18. Mode = most common = 5. Range = 36 − 5 = 31.
8. Mean 17, median 12, mode none, range 36
Mean = 119 ÷ 7 = 17. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 37 − 1 = 36.
9. Mean 28.11, median 25, mode none, range 52
Mean = 253 ÷ 9 = 28.11. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 56 − 4 = 52.
10. Mean 34.67, median 30, mode 19, range 51
Mean = 312 ÷ 9 = 34.67. Median = middle value in order = 30. Mode = most common = 19. Range = 57 − 6 = 51.
11. Mean 20.22, median 22, mode 2 and 5, range 51
Mean = 182 ÷ 9 = 20.22. Median = middle value in order = 22. Mode = most common = 2 and 5. Range = 53 − 2 = 51.
12. Mean 37.78, median 40, mode 40, range 41
Mean = 340 ÷ 9 = 37.78. Median = middle value in order = 40. Mode = most common = 40. Range = 51 − 10 = 41.
Worked examples
For the data 4, 5, 14, 16, 20, find the mean, median, mode and range.
- Mean = 59 ÷ 5 = 11.8.
- Median = middle value in order = 14.
- Mode = most common = no repeated value.
- Range = 20 − 4 = 16.
- Answer: Mean 11.8, median 14, mode none, range 16
For the data 13, 16, 21, 24, 26, 29, 36, find the mean, median, mode and range.
- Mean = 165 ÷ 7 = 23.57.
- Median = middle value in order = 24.
- Mode = most common = no repeated value.
- Range = 36 − 13 = 23.
- Answer: Mean 23.57, median 24, mode none, range 23
For the data 1, 9, 17, 20, 31, 34, 39, 52, 58, find the mean, median, mode and range.
- Mean = 261 ÷ 9 = 29.
- Median = middle value in order = 31.
- Mode = most common = no repeated value.
- Range = 58 − 1 = 57.
- Answer: Mean 29, median 31, mode none, range 57
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 Averages from Tables in Context Word Problems, Averages from Tables in Context Techniques, Working with Averages from Tables. Each one has its own free lesson, worksheet and quiz.
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- Move on to Introducing Averages from Tables, Working with Averages from Tables, which build directly on this idea.
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