Free Grade 3 Working with Introducing Mode Common Errors Lessons
Free Grade 3 lessons 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 3, 10, 12, 13, 18, find the mean, median, mode and range.[1]
- 2.For the data 3, 4, 12, 15, 19, find the mean, median, mode and range.[1]
- 3.For the data 7, 9, 9, 10, 20, find the mean, median, mode and range.[1]
- 4.For the data 6, 7, 18, 18, 19, find the mean, median, mode and range.[1]
- 5.For the data 1, 20, 23, 23, 33, 34, 39, find the mean, median, mode and range.[2]
- 6.For the data 7, 12, 14, 14, 16, 18, 18, find the mean, median, mode and range.[2]
- 7.For the data 14, 23, 27, 30, 32, 37, 37, find the mean, median, mode and range.[2]
- 8.For the data 3, 7, 12, 16, 20, 27, 30, find the mean, median, mode and range.[2]
- 9.For the data 8, 17, 35, 41, 45, 47, 51, 52, 59, find the mean, median, mode and range.[3]
- 10.For the data 11, 11, 12, 33, 37, 38, 41, 41, 49, find the mean, median, mode and range.[3]
- 11.For the data 1, 3, 5, 8, 20, 23, 34, 40, 50, find the mean, median, mode and range.[3]
- 12.For the data 2, 11, 13, 17, 18, 26, 26, 36, 52, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.2, median 12, mode none, range 15
Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 18 − 3 = 15.
2. Mean 10.6, median 12, mode none, range 16
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 19 − 3 = 16.
3. Mean 11, median 9, mode 9, range 13
Mean = 55 ÷ 5 = 11. Median = middle value in order = 9. Mode = most common = 9. Range = 20 − 7 = 13.
4. Mean 13.6, median 18, mode 18, range 13
Mean = 68 ÷ 5 = 13.6. Median = middle value in order = 18. Mode = most common = 18. Range = 19 − 6 = 13.
5. Mean 24.71, median 23, mode 23, range 38
Mean = 173 ÷ 7 = 24.71. Median = middle value in order = 23. Mode = most common = 23. Range = 39 − 1 = 38.
6. Mean 14.14, median 14, mode 14 and 18, range 11
Mean = 99 ÷ 7 = 14.14. Median = middle value in order = 14. Mode = most common = 14 and 18. Range = 18 − 7 = 11.
7. Mean 28.57, median 30, mode 37, range 23
Mean = 200 ÷ 7 = 28.57. Median = middle value in order = 30. Mode = most common = 37. Range = 37 − 14 = 23.
8. Mean 16.43, median 16, mode none, range 27
Mean = 115 ÷ 7 = 16.43. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 30 − 3 = 27.
9. Mean 39.44, median 45, mode none, range 51
Mean = 355 ÷ 9 = 39.44. Median = middle value in order = 45. Mode = most common = no repeated value. Range = 59 − 8 = 51.
10. Mean 30.33, median 37, mode 11 and 41, range 38
Mean = 273 ÷ 9 = 30.33. Median = middle value in order = 37. Mode = most common = 11 and 41. Range = 49 − 11 = 38.
11. Mean 20.44, median 20, mode none, range 49
Mean = 184 ÷ 9 = 20.44. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 50 − 1 = 49.
12. Mean 22.33, median 18, mode 26, range 50
Mean = 201 ÷ 9 = 22.33. Median = middle value in order = 18. Mode = most common = 26. Range = 52 − 2 = 50.
Worked examples
For the data 2, 3, 7, 13, 19, find the mean, median, mode and range.
- Mean = 44 ÷ 5 = 8.8.
- Median = middle value in order = 7.
- Mode = most common = no repeated value.
- Range = 19 − 2 = 17.
- Answer: Mean 8.8, median 7, mode none, range 17
For the data 7, 21, 23, 26, 30, 32, 33, find the mean, median, mode and range.
- Mean = 172 ÷ 7 = 24.57.
- Median = middle value in order = 26.
- Mode = most common = no repeated value.
- Range = 33 − 7 = 26.
- Answer: Mean 24.57, median 26, mode none, range 26
For the data 10, 14, 15, 18, 20, 27, 28, 31, 47, find the mean, median, mode and range.
- Mean = 210 ÷ 9 = 23.33.
- Median = middle value in order = 20.
- Mode = most common = no repeated value.
- Range = 47 − 10 = 37.
- Answer: Mean 23.33, median 20, mode none, range 37
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 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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- 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 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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