Free Grade 3 Working with Introducing Mode Common Errors Lesson Plans
Free Grade 3 lesson plans for Working with Introducing 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 introducing mode common errors
Identify working with introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing mode common errors
Explain working with introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing mode common errors
Calculate working with introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing mode common errors
Compare working with introducing 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 Introducing 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 10, 14, 16, 18, 19, find the mean, median, mode and range.[1]
- 2.For the data 2, 4, 5, 9, 12, find the mean, median, mode and range.[1]
- 3.For the data 9, 10, 19, 19, 20, find the mean, median, mode and range.[1]
- 4.For the data 1, 3, 13, 13, 14, find the mean, median, mode and range.[1]
- 5.For the data 10, 13, 17, 22, 36, 36, 38, find the mean, median, mode and range.[2]
- 6.For the data 8, 12, 27, 34, 36, 37, 38, find the mean, median, mode and range.[2]
- 7.For the data 4, 4, 7, 11, 11, 22, 22, find the mean, median, mode and range.[2]
- 8.For the data 3, 8, 13, 17, 21, 27, 33, find the mean, median, mode and range.[2]
- 9.For the data 22, 30, 34, 37, 42, 50, 50, 52, 55, find the mean, median, mode and range.[3]
- 10.For the data 9, 27, 27, 29, 43, 45, 51, 57, 58, find the mean, median, mode and range.[3]
- 11.For the data 5, 6, 9, 12, 18, 26, 32, 45, 58, find the mean, median, mode and range.[3]
- 12.For the data 15, 17, 25, 26, 27, 28, 41, 43, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 15.4, median 16, mode none, range 9
Mean = 77 ÷ 5 = 15.4. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 19 − 10 = 9.
2. Mean 6.4, median 5, mode none, range 10
Mean = 32 ÷ 5 = 6.4. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 12 − 2 = 10.
3. Mean 15.4, median 19, mode 19, range 11
Mean = 77 ÷ 5 = 15.4. Median = middle value in order = 19. Mode = most common = 19. Range = 20 − 9 = 11.
4. Mean 8.8, median 13, mode 13, range 13
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 13. Mode = most common = 13. Range = 14 − 1 = 13.
5. Mean 24.57, median 22, mode 36, range 28
Mean = 172 ÷ 7 = 24.57. Median = middle value in order = 22. Mode = most common = 36. Range = 38 − 10 = 28.
6. Mean 27.43, median 34, mode none, range 30
Mean = 192 ÷ 7 = 27.43. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 38 − 8 = 30.
7. Mean 11.57, median 11, mode 4 and 11 and 22, range 18
Mean = 81 ÷ 7 = 11.57. Median = middle value in order = 11. Mode = most common = 4 and 11 and 22. Range = 22 − 4 = 18.
8. Mean 17.43, median 17, mode none, range 30
Mean = 122 ÷ 7 = 17.43. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 33 − 3 = 30.
9. Mean 41.33, median 42, mode 50, range 33
Mean = 372 ÷ 9 = 41.33. Median = middle value in order = 42. Mode = most common = 50. Range = 55 − 22 = 33.
10. Mean 38.44, median 43, mode 27, range 49
Mean = 346 ÷ 9 = 38.44. Median = middle value in order = 43. Mode = most common = 27. Range = 58 − 9 = 49.
11. Mean 23.44, median 18, mode none, range 53
Mean = 211 ÷ 9 = 23.44. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 58 − 5 = 53.
12. Mean 31.22, median 27, mode none, range 44
Mean = 281 ÷ 9 = 31.22. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 59 − 15 = 44.
Worked examples
For the data 5, 5, 7, 13, 16, find the mean, median, mode and range.
- Mean = 46 ÷ 5 = 9.2.
- Median = middle value in order = 7.
- Mode = most common = 5.
- Range = 16 − 5 = 11.
- Answer: Mean 9.2, median 7, mode 5, range 11
For the data 7, 8, 13, 21, 22, 26, 37, find the mean, median, mode and range.
- Mean = 134 ÷ 7 = 19.14.
- Median = middle value in order = 21.
- Mode = most common = no repeated value.
- Range = 37 − 7 = 30.
- Answer: Mean 19.14, median 21, mode none, range 30
For the data 7, 10, 11, 13, 20, 28, 43, 44, 57, find the mean, median, mode and range.
- Mean = 233 ÷ 9 = 25.89.
- Median = middle value in order = 20.
- Mode = most common = no repeated value.
- Range = 57 − 7 = 50.
- Answer: Mean 25.89, median 20, mode none, 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.
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Frequently asked
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- What should a learner already know before this?
- Start with Rules and Methods in Introducing Mode Common Errors, Key Vocabulary of Introducing Mode Common Errors, Introducing Mode Word Problems. Each one has its own free lesson, worksheet and quiz.
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- What comes next after Working with Introducing Mode Common Errors?
- Move on to Introducing Mode Common Errors in Examinations, Introducing Mode Essentials, Introducing Mode Techniques, Introducing Mode Word Problems, which build directly on this idea.
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