Free Grade 3 Averages from Tables in Context Common Errors Lessons
Free Grade 3 lessons 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
20 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 3, 9, 14, 17, 17, find the mean, median, mode and range.[1]
- 2.For the data 1, 5, 5, 13, 20, find the mean, median, mode and range.[1]
- 3.For the data 1, 5, 8, 10, 19, find the mean, median, mode and range.[1]
- 4.For the data 3, 4, 7, 15, 17, find the mean, median, mode and range.[1]
- 5.For the data 13, 20, 23, 23, 24, 30, 34, find the mean, median, mode and range.[2]
- 6.For the data 5, 7, 11, 11, 18, 26, 27, find the mean, median, mode and range.[2]
- 7.For the data 18, 20, 22, 23, 26, 33, 40, find the mean, median, mode and range.[2]
- 8.For the data 2, 9, 21, 23, 31, 35, 37, find the mean, median, mode and range.[2]
- 9.For the data 12, 24, 27, 31, 36, 44, 45, 47, 58, find the mean, median, mode and range.[3]
- 10.For the data 10, 11, 29, 31, 33, 34, 54, 57, 57, find the mean, median, mode and range.[3]
- 11.For the data 7, 8, 10, 18, 19, 28, 40, 51, 57, find the mean, median, mode and range.[3]
- 12.For the data 6, 29, 37, 38, 43, 45, 46, 59, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12, median 14, mode 17, range 14
Mean = 60 ÷ 5 = 12. Median = middle value in order = 14. Mode = most common = 17. Range = 17 − 3 = 14.
2. Mean 8.8, median 5, mode 5, range 19
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 5. Mode = most common = 5. Range = 20 − 1 = 19.
3. Mean 8.6, median 8, mode none, range 18
Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 19 − 1 = 18.
4. Mean 9.2, median 7, mode none, range 14
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 17 − 3 = 14.
5. Mean 23.86, median 23, mode 23, range 21
Mean = 167 ÷ 7 = 23.86. Median = middle value in order = 23. Mode = most common = 23. Range = 34 − 13 = 21.
6. Mean 15, median 11, mode 11, range 22
Mean = 105 ÷ 7 = 15. Median = middle value in order = 11. Mode = most common = 11. Range = 27 − 5 = 22.
7. Mean 26, median 23, mode none, range 22
Mean = 182 ÷ 7 = 26. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 40 − 18 = 22.
8. Mean 22.57, median 23, mode none, range 35
Mean = 158 ÷ 7 = 22.57. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 37 − 2 = 35.
9. Mean 36, median 36, mode none, range 46
Mean = 324 ÷ 9 = 36. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 58 − 12 = 46.
10. Mean 35.11, median 33, mode 57, range 47
Mean = 316 ÷ 9 = 35.11. Median = middle value in order = 33. Mode = most common = 57. Range = 57 − 10 = 47.
11. Mean 26.44, median 19, mode none, range 50
Mean = 238 ÷ 9 = 26.44. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 57 − 7 = 50.
12. Mean 40.22, median 43, mode 59, range 53
Mean = 362 ÷ 9 = 40.22. Median = middle value in order = 43. Mode = most common = 59. Range = 59 − 6 = 53.
Worked examples
For the data 1, 8, 16, 18, 20, find the mean, median, mode and range.
- Mean = 63 ÷ 5 = 12.6.
- Median = middle value in order = 16.
- Mode = most common = no repeated value.
- Range = 20 − 1 = 19.
- Answer: Mean 12.6, median 16, mode none, range 19
For the data 8, 12, 16, 26, 27, 40, 40, find the mean, median, mode and range.
- Mean = 169 ÷ 7 = 24.14.
- Median = middle value in order = 26.
- Mode = most common = 40.
- Range = 40 − 8 = 32.
- Answer: Mean 24.14, median 26, mode 40, range 32
For the data 8, 15, 26, 29, 33, 49, 51, 56, 57, find the mean, median, mode and range.
- Mean = 324 ÷ 9 = 36.
- Median = middle value in order = 33.
- Mode = most common = no repeated value.
- Range = 57 − 8 = 49.
- Answer: Mean 36, median 33, mode none, range 49
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 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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