Free Grade 3 Working with Mode Common Errors Lesson Plans
Free Grade 3 lesson plans for Working with Mode 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 working with mode common errors
Identify working with mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with mode common errors
Explain working with mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with mode common errors
Calculate working with mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with mode common errors
Compare working with mode 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 Working with Mode 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 7, 13, 17, 18, 20, find the mean, median, mode and range.[1]
- 2.For the data 2, 4, 14, 15, 20, find the mean, median, mode and range.[1]
- 3.For the data 2, 10, 10, 13, 16, find the mean, median, mode and range.[1]
- 4.For the data 8, 12, 12, 17, 17, find the mean, median, mode and range.[1]
- 5.For the data 2, 5, 9, 11, 29, 33, 40, find the mean, median, mode and range.[2]
- 6.For the data 1, 3, 10, 11, 18, 19, 29, find the mean, median, mode and range.[2]
- 7.For the data 5, 6, 15, 19, 24, 30, 40, find the mean, median, mode and range.[2]
- 8.For the data 3, 4, 6, 13, 29, 32, 40, find the mean, median, mode and range.[2]
- 9.For the data 10, 13, 16, 19, 24, 27, 47, 49, 51, find the mean, median, mode and range.[3]
- 10.For the data 1, 10, 12, 14, 21, 22, 25, 29, 55, find the mean, median, mode and range.[3]
- 11.For the data 1, 6, 8, 12, 28, 33, 43, 51, 59, find the mean, median, mode and range.[3]
- 12.For the data 7, 8, 20, 22, 34, 34, 35, 36, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 15, median 17, mode none, range 13
Mean = 75 ÷ 5 = 15. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 20 − 7 = 13.
2. Mean 11, median 14, mode none, range 18
Mean = 55 ÷ 5 = 11. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 2 = 18.
3. Mean 10.2, median 10, mode 10, range 14
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 10. Mode = most common = 10. Range = 16 − 2 = 14.
4. Mean 13.2, median 12, mode 12 and 17, range 9
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 12. Mode = most common = 12 and 17. Range = 17 − 8 = 9.
5. Mean 18.43, median 11, mode none, range 38
Mean = 129 ÷ 7 = 18.43. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 40 − 2 = 38.
6. Mean 13, median 11, mode none, range 28
Mean = 91 ÷ 7 = 13. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 29 − 1 = 28.
7. Mean 19.86, median 19, mode none, range 35
Mean = 139 ÷ 7 = 19.86. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 40 − 5 = 35.
8. Mean 18.14, median 13, mode none, range 37
Mean = 127 ÷ 7 = 18.14. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 40 − 3 = 37.
9. Mean 28.44, median 24, mode none, range 41
Mean = 256 ÷ 9 = 28.44. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 51 − 10 = 41.
10. Mean 21, median 21, mode none, range 54
Mean = 189 ÷ 9 = 21. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 55 − 1 = 54.
11. Mean 26.78, median 28, mode none, range 58
Mean = 241 ÷ 9 = 26.78. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 59 − 1 = 58.
12. Mean 28, median 34, mode 34, range 49
Mean = 252 ÷ 9 = 28. Median = middle value in order = 34. Mode = most common = 34. Range = 56 − 7 = 49.
Worked examples
For the data 14, 15, 17, 18, 18, find the mean, median, mode and range.
- Mean = 82 ÷ 5 = 16.4.
- Median = middle value in order = 17.
- Mode = most common = 18.
- Range = 18 − 14 = 4.
- Answer: Mean 16.4, median 17, mode 18, range 4
For the data 3, 9, 11, 12, 19, 27, 39, find the mean, median, mode and range.
- Mean = 120 ÷ 7 = 17.14.
- Median = middle value in order = 12.
- Mode = most common = no repeated value.
- Range = 39 − 3 = 36.
- Answer: Mean 17.14, median 12, mode none, range 36
For the data 2, 9, 11, 14, 15, 20, 20, 21, 48, find the mean, median, mode and range.
- Mean = 160 ÷ 9 = 17.78.
- Median = middle value in order = 15.
- Mode = most common = 20.
- Range = 48 − 2 = 46.
- Answer: Mean 17.78, median 15, mode 20, range 46
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 Working with Mode Common Errors lesson plan really free?
- Yes. Every lesson plans 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 Working with Mode Word Problems, Working with Mode Techniques, Introducing Mode. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Working with Mode Common Errors?
- Move on to Introducing Mode, Mode in Context, which build directly on this idea.
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