Free Grade 3 Averages from Tables in Context Common Errors Lesson Plans
Free Grade 3 lesson plans 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
25 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 6, 6, 12, 14, 20, find the mean, median, mode and range.[1]
- 2.For the data 4, 5, 7, 8, 20, find the mean, median, mode and range.[1]
- 3.For the data 1, 7, 12, 15, 15, find the mean, median, mode and range.[1]
- 4.For the data 4, 6, 11, 14, 17, find the mean, median, mode and range.[1]
- 5.For the data 5, 6, 8, 10, 17, 26, 36, find the mean, median, mode and range.[2]
- 6.For the data 4, 4, 7, 10, 21, 22, 40, find the mean, median, mode and range.[2]
- 7.For the data 1, 5, 20, 28, 28, 34, 36, find the mean, median, mode and range.[2]
- 8.For the data 1, 12, 18, 23, 26, 30, 40, find the mean, median, mode and range.[2]
- 9.For the data 10, 15, 15, 16, 17, 19, 32, 36, 48, find the mean, median, mode and range.[3]
- 10.For the data 1, 4, 17, 21, 25, 35, 44, 48, 51, find the mean, median, mode and range.[3]
- 11.For the data 10, 18, 20, 24, 30, 34, 40, 47, 54, find the mean, median, mode and range.[3]
- 12.For the data 6, 9, 12, 25, 32, 35, 41, 42, 49, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.6, median 12, mode 6, range 14
Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 12. Mode = most common = 6. Range = 20 − 6 = 14.
2. Mean 8.8, median 7, mode none, range 16
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 20 − 4 = 16.
3. Mean 10, median 12, mode 15, range 14
Mean = 50 ÷ 5 = 10. Median = middle value in order = 12. Mode = most common = 15. Range = 15 − 1 = 14.
4. Mean 10.4, median 11, mode none, range 13
Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 17 − 4 = 13.
5. Mean 15.43, median 10, mode none, range 31
Mean = 108 ÷ 7 = 15.43. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 36 − 5 = 31.
6. Mean 15.43, median 10, mode 4, range 36
Mean = 108 ÷ 7 = 15.43. Median = middle value in order = 10. Mode = most common = 4. Range = 40 − 4 = 36.
7. Mean 21.71, median 28, mode 28, range 35
Mean = 152 ÷ 7 = 21.71. Median = middle value in order = 28. Mode = most common = 28. Range = 36 − 1 = 35.
8. Mean 21.43, median 23, mode none, range 39
Mean = 150 ÷ 7 = 21.43. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 40 − 1 = 39.
9. Mean 23.11, median 17, mode 15, range 38
Mean = 208 ÷ 9 = 23.11. Median = middle value in order = 17. Mode = most common = 15. Range = 48 − 10 = 38.
10. Mean 27.33, median 25, mode none, range 50
Mean = 246 ÷ 9 = 27.33. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 51 − 1 = 50.
11. Mean 30.78, median 30, mode none, range 44
Mean = 277 ÷ 9 = 30.78. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 54 − 10 = 44.
12. Mean 27.89, median 32, mode none, range 43
Mean = 251 ÷ 9 = 27.89. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 49 − 6 = 43.
Worked examples
For the data 8, 10, 16, 17, 19, find the mean, median, mode and range.
- Mean = 70 ÷ 5 = 14.
- Median = middle value in order = 16.
- Mode = most common = no repeated value.
- Range = 19 − 8 = 11.
- Answer: Mean 14, median 16, mode none, range 11
For the data 4, 9, 22, 22, 25, 34, 39, find the mean, median, mode and range.
- Mean = 155 ÷ 7 = 22.14.
- Median = middle value in order = 22.
- Mode = most common = 22.
- Range = 39 − 4 = 35.
- Answer: Mean 22.14, median 22, mode 22, range 35
For the data 17, 24, 27, 37, 41, 48, 54, 58, 58, find the mean, median, mode and range.
- Mean = 364 ÷ 9 = 40.44.
- Median = middle value in order = 41.
- Mode = most common = 58.
- Range = 58 − 17 = 41.
- Answer: Mean 40.44, median 41, mode 58, range 41
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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