Free Grade 3 Mean Lesson Plans
Free Grade 3 lesson plans for Mean: 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 mean
Identify mean accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain mean
Explain mean accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate mean
Calculate mean accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare mean
Compare mean 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 Mean 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, 15, 15, find the mean, median, mode and range.[1]
- 2.For the data 2, 3, 8, 17, 20, find the mean, median, mode and range.[1]
- 3.For the data 1, 4, 14, 14, 19, find the mean, median, mode and range.[1]
- 4.For the data 1, 15, 16, 19, 20, find the mean, median, mode and range.[1]
- 5.For the data 11, 11, 17, 24, 29, 29, 34, find the mean, median, mode and range.[2]
- 6.For the data 5, 8, 18, 25, 25, 35, 36, find the mean, median, mode and range.[2]
- 7.For the data 4, 6, 6, 7, 10, 13, 27, find the mean, median, mode and range.[2]
- 8.For the data 9, 10, 10, 19, 25, 25, 38, find the mean, median, mode and range.[2]
- 9.For the data 1, 4, 7, 21, 31, 38, 38, 52, 53, find the mean, median, mode and range.[3]
- 10.For the data 2, 6, 14, 14, 18, 32, 35, 39, 58, find the mean, median, mode and range.[3]
- 11.For the data 14, 15, 18, 21, 22, 27, 42, 44, 46, find the mean, median, mode and range.[3]
- 12.For the data 15, 18, 29, 34, 48, 50, 52, 59, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11, median 12, mode 15, range 12
Mean = 55 ÷ 5 = 11. Median = middle value in order = 12. Mode = most common = 15. Range = 15 − 3 = 12.
2. Mean 10, median 8, mode none, range 18
Mean = 50 ÷ 5 = 10. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 20 − 2 = 18.
3. Mean 10.4, median 14, mode 14, range 18
Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 14. Mode = most common = 14. Range = 19 − 1 = 18.
4. Mean 14.2, median 16, mode none, range 19
Mean = 71 ÷ 5 = 14.2. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 20 − 1 = 19.
5. Mean 22.14, median 24, mode 11 and 29, range 23
Mean = 155 ÷ 7 = 22.14. Median = middle value in order = 24. Mode = most common = 11 and 29. Range = 34 − 11 = 23.
6. Mean 21.71, median 25, mode 25, range 31
Mean = 152 ÷ 7 = 21.71. Median = middle value in order = 25. Mode = most common = 25. Range = 36 − 5 = 31.
7. Mean 10.43, median 7, mode 6, range 23
Mean = 73 ÷ 7 = 10.43. Median = middle value in order = 7. Mode = most common = 6. Range = 27 − 4 = 23.
8. Mean 19.43, median 19, mode 10 and 25, range 29
Mean = 136 ÷ 7 = 19.43. Median = middle value in order = 19. Mode = most common = 10 and 25. Range = 38 − 9 = 29.
9. Mean 27.22, median 31, mode 38, range 52
Mean = 245 ÷ 9 = 27.22. Median = middle value in order = 31. Mode = most common = 38. Range = 53 − 1 = 52.
10. Mean 24.22, median 18, mode 14, range 56
Mean = 218 ÷ 9 = 24.22. Median = middle value in order = 18. Mode = most common = 14. Range = 58 − 2 = 56.
11. Mean 27.67, median 22, mode none, range 32
Mean = 249 ÷ 9 = 27.67. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 46 − 14 = 32.
12. Mean 40.44, median 48, mode 59, range 44
Mean = 364 ÷ 9 = 40.44. Median = middle value in order = 48. Mode = most common = 59. Range = 59 − 15 = 44.
Worked examples
For the data 2, 3, 6, 9, 14, find the mean, median, mode and range.
- Mean = 34 ÷ 5 = 6.8.
- Median = middle value in order = 6.
- Mode = most common = no repeated value.
- Range = 14 − 2 = 12.
- Answer: Mean 6.8, median 6, mode none, range 12
For the data 5, 5, 7, 8, 21, 25, 34, find the mean, median, mode and range.
- Mean = 105 ÷ 7 = 15.
- Median = middle value in order = 8.
- Mode = most common = 5.
- Range = 34 − 5 = 29.
- Answer: Mean 15, median 8, mode 5, range 29
For the data 5, 5, 15, 16, 35, 36, 47, 51, 56, find the mean, median, mode and range.
- Mean = 266 ÷ 9 = 29.56.
- Median = middle value in order = 35.
- Mode = most common = 5.
- Range = 56 − 5 = 51.
- Answer: Mean 29.56, median 35, mode 5, range 51
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 Mean 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 Measurement. 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 Mean?
- Move on to Median, Mode, Range, Averages from Tables, which build directly on this idea.
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