Free Grade 3 Mode in Context Common Errors Lessons
Free Grade 3 lessons for Mode 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 mode in context common errors
Identify mode in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain mode in context common errors
Explain mode in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate mode in context common errors
Calculate mode in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare mode in context common errors
Compare mode 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 Mode 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, 11, 17, 20, 20, find the mean, median, mode and range.[1]
- 2.For the data 4, 7, 7, 11, 17, find the mean, median, mode and range.[1]
- 3.For the data 4, 5, 9, 17, 20, find the mean, median, mode and range.[1]
- 4.For the data 1, 4, 6, 12, 20, find the mean, median, mode and range.[1]
- 5.For the data 2, 5, 9, 22, 26, 34, 38, find the mean, median, mode and range.[2]
- 6.For the data 3, 4, 6, 23, 26, 30, 34, find the mean, median, mode and range.[2]
- 7.For the data 3, 15, 16, 25, 34, 38, 40, find the mean, median, mode and range.[2]
- 8.For the data 7, 12, 14, 17, 22, 27, 34, find the mean, median, mode and range.[2]
- 9.For the data 5, 5, 7, 10, 18, 22, 22, 42, 50, find the mean, median, mode and range.[3]
- 10.For the data 8, 14, 21, 23, 35, 41, 49, 52, 55, find the mean, median, mode and range.[3]
- 11.For the data 2, 9, 22, 33, 38, 45, 55, 56, 59, find the mean, median, mode and range.[3]
- 12.For the data 2, 3, 13, 15, 20, 21, 35, 55, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 13.8, median 17, mode 20, range 19
Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 17. Mode = most common = 20. Range = 20 − 1 = 19.
2. Mean 9.2, median 7, mode 7, range 13
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 7. Mode = most common = 7. Range = 17 − 4 = 13.
3. Mean 11, median 9, mode none, range 16
Mean = 55 ÷ 5 = 11. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 4 = 16.
4. Mean 8.6, median 6, mode none, range 19
Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 20 − 1 = 19.
5. Mean 19.43, median 22, mode none, range 36
Mean = 136 ÷ 7 = 19.43. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 38 − 2 = 36.
6. Mean 18, median 23, mode none, range 31
Mean = 126 ÷ 7 = 18. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 34 − 3 = 31.
7. Mean 24.43, median 25, mode none, range 37
Mean = 171 ÷ 7 = 24.43. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 40 − 3 = 37.
8. Mean 19, median 17, mode none, range 27
Mean = 133 ÷ 7 = 19. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 34 − 7 = 27.
9. Mean 20.11, median 18, mode 5 and 22, range 45
Mean = 181 ÷ 9 = 20.11. Median = middle value in order = 18. Mode = most common = 5 and 22. Range = 50 − 5 = 45.
10. Mean 33.11, median 35, mode none, range 47
Mean = 298 ÷ 9 = 33.11. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 55 − 8 = 47.
11. Mean 35.44, median 38, mode none, range 57
Mean = 319 ÷ 9 = 35.44. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 59 − 2 = 57.
12. Mean 24.78, median 20, mode none, range 57
Mean = 223 ÷ 9 = 24.78. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 59 − 2 = 57.
Worked examples
For the data 6, 9, 13, 15, 20, find the mean, median, mode and range.
- Mean = 63 ÷ 5 = 12.6.
- Median = middle value in order = 13.
- Mode = most common = no repeated value.
- Range = 20 − 6 = 14.
- Answer: Mean 12.6, median 13, mode none, range 14
For the data 6, 8, 12, 12, 20, 30, 39, find the mean, median, mode and range.
- Mean = 127 ÷ 7 = 18.14.
- Median = middle value in order = 12.
- Mode = most common = 12.
- Range = 39 − 6 = 33.
- Answer: Mean 18.14, median 12, mode 12, range 33
For the data 6, 13, 36, 36, 50, 52, 52, 54, 56, find the mean, median, mode and range.
- Mean = 355 ÷ 9 = 39.44.
- Median = middle value in order = 50.
- Mode = most common = 36 and 52.
- Range = 56 − 6 = 50.
- Answer: Mean 39.44, median 50, mode 36 and 52, range 50
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.
Assessment objectives
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Frequently asked
- Is this Grade 3 Mode in Context Common Errors lesson really free?
- Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Mode in Context Word Problems, Mode in Context Techniques, Working with Mode. Each one has its own free lesson, worksheet and quiz.
- How is the lesson sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Mode in Context Common Errors?
- Move on to Introducing Mode, Working with Mode, which build directly on this idea.
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