Free Grade 3 Introducing Mode Techniques Lesson Plans
Free Grade 3 lesson plans for Introducing Mode Techniques: 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 introducing mode techniques
Identify introducing mode techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing mode techniques
Explain introducing mode techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing mode techniques
Calculate introducing mode techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing mode techniques
Compare introducing mode techniques 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 Introducing Mode Techniques 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, 4, 6, 10, 16, find the mean, median, mode and range.[1]
- 2.For the data 1, 2, 5, 10, 13, find the mean, median, mode and range.[1]
- 3.For the data 1, 1, 7, 9, 16, find the mean, median, mode and range.[1]
- 4.For the data 2, 11, 11, 12, 16, find the mean, median, mode and range.[1]
- 5.For the data 1, 3, 4, 10, 16, 23, 32, find the mean, median, mode and range.[2]
- 6.For the data 7, 16, 20, 24, 26, 36, 40, find the mean, median, mode and range.[2]
- 7.For the data 6, 15, 21, 25, 26, 30, 35, find the mean, median, mode and range.[2]
- 8.For the data 1, 4, 8, 21, 24, 31, 39, find the mean, median, mode and range.[2]
- 9.For the data 13, 21, 29, 31, 36, 47, 51, 51, 60, find the mean, median, mode and range.[3]
- 10.For the data 1, 6, 15, 27, 28, 28, 29, 36, 55, find the mean, median, mode and range.[3]
- 11.For the data 1, 6, 19, 22, 34, 40, 50, 52, 56, find the mean, median, mode and range.[3]
- 12.For the data 15, 15, 20, 28, 33, 35, 37, 57, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 7.4, median 6, mode none, range 15
Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 16 − 1 = 15.
2. Mean 6.2, median 5, mode none, range 12
Mean = 31 ÷ 5 = 6.2. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 13 − 1 = 12.
3. Mean 6.8, median 7, mode 1, range 15
Mean = 34 ÷ 5 = 6.8. Median = middle value in order = 7. Mode = most common = 1. Range = 16 − 1 = 15.
4. Mean 10.4, median 11, mode 11, range 14
Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 11. Mode = most common = 11. Range = 16 − 2 = 14.
5. Mean 12.71, median 10, mode none, range 31
Mean = 89 ÷ 7 = 12.71. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 32 − 1 = 31.
6. Mean 24.14, median 24, mode none, range 33
Mean = 169 ÷ 7 = 24.14. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 40 − 7 = 33.
7. Mean 22.57, median 25, mode none, range 29
Mean = 158 ÷ 7 = 22.57. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 35 − 6 = 29.
8. Mean 18.29, median 21, mode none, range 38
Mean = 128 ÷ 7 = 18.29. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 39 − 1 = 38.
9. Mean 37.67, median 36, mode 51, range 47
Mean = 339 ÷ 9 = 37.67. Median = middle value in order = 36. Mode = most common = 51. Range = 60 − 13 = 47.
10. Mean 25, median 28, mode 28, range 54
Mean = 225 ÷ 9 = 25. Median = middle value in order = 28. Mode = most common = 28. Range = 55 − 1 = 54.
11. Mean 31.11, median 34, mode none, range 55
Mean = 280 ÷ 9 = 31.11. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 56 − 1 = 55.
12. Mean 33.22, median 33, mode 15, range 44
Mean = 299 ÷ 9 = 33.22. Median = middle value in order = 33. Mode = most common = 15. Range = 59 − 15 = 44.
Worked examples
For the data 2, 4, 5, 18, 18, find the mean, median, mode and range.
- Mean = 47 ÷ 5 = 9.4.
- Median = middle value in order = 5.
- Mode = most common = 18.
- Range = 18 − 2 = 16.
- Answer: Mean 9.4, median 5, mode 18, range 16
For the data 1, 5, 12, 19, 35, 36, 38, find the mean, median, mode and range.
- Mean = 146 ÷ 7 = 20.86.
- Median = middle value in order = 19.
- Mode = most common = no repeated value.
- Range = 38 − 1 = 37.
- Answer: Mean 20.86, median 19, mode none, range 37
For the data 12, 20, 20, 24, 31, 31, 36, 39, 54, find the mean, median, mode and range.
- Mean = 267 ÷ 9 = 29.67.
- Median = middle value in order = 31.
- Mode = most common = 20 and 31.
- Range = 54 − 12 = 42.
- Answer: Mean 29.67, median 31, mode 20 and 31, range 42
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
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Mode Techniques 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 Introducing Mode Essentials, Median. 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 Introducing Mode Techniques?
- Move on to Introducing Mode Word Problems, Introducing Mode Common Errors, Working with Mode, Mode in Context, which build directly on this idea.
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