Free Grade 3 Introducing Mean Essentials Lessons
Free Grade 3 lessons for Introducing Mean Essentials: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing mean essentials
Identify introducing mean essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing mean essentials
Explain introducing mean essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing mean essentials
Calculate introducing mean essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing mean essentials
Compare introducing mean essentials 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 Mean Essentials 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, 7, 7, 18, find the mean, median, mode and range.[1]
- 2.For the data 12, 14, 18, 18, 20, find the mean, median, mode and range.[1]
- 3.For the data 4, 10, 10, 15, 18, find the mean, median, mode and range.[1]
- 4.For the data 4, 12, 14, 15, 19, find the mean, median, mode and range.[1]
- 5.For the data 2, 4, 11, 17, 25, 37, 38, find the mean, median, mode and range.[2]
- 6.For the data 5, 6, 12, 28, 36, 38, 39, find the mean, median, mode and range.[2]
- 7.For the data 17, 18, 19, 20, 21, 33, 35, find the mean, median, mode and range.[2]
- 8.For the data 13, 20, 22, 24, 37, 39, 39, find the mean, median, mode and range.[2]
- 9.For the data 7, 10, 23, 29, 32, 34, 35, 39, 47, find the mean, median, mode and range.[3]
- 10.For the data 3, 5, 16, 22, 36, 42, 48, 51, 55, find the mean, median, mode and range.[3]
- 11.For the data 20, 22, 36, 38, 41, 50, 53, 53, 59, find the mean, median, mode and range.[3]
- 12.For the data 15, 16, 17, 21, 35, 38, 48, 53, 54, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 7.4, median 7, mode 7, range 17
Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 7. Mode = most common = 7. Range = 18 − 1 = 17.
2. Mean 16.4, median 18, mode 18, range 8
Mean = 82 ÷ 5 = 16.4. Median = middle value in order = 18. Mode = most common = 18. Range = 20 − 12 = 8.
3. Mean 11.4, median 10, mode 10, range 14
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 10. Mode = most common = 10. Range = 18 − 4 = 14.
4. Mean 12.8, median 14, mode none, range 15
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 19 − 4 = 15.
5. Mean 19.14, median 17, mode none, range 36
Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 38 − 2 = 36.
6. Mean 23.43, median 28, mode none, range 34
Mean = 164 ÷ 7 = 23.43. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 39 − 5 = 34.
7. Mean 23.29, median 20, mode none, range 18
Mean = 163 ÷ 7 = 23.29. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 35 − 17 = 18.
8. Mean 27.71, median 24, mode 39, range 26
Mean = 194 ÷ 7 = 27.71. Median = middle value in order = 24. Mode = most common = 39. Range = 39 − 13 = 26.
9. Mean 28.44, median 32, mode none, range 40
Mean = 256 ÷ 9 = 28.44. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 47 − 7 = 40.
10. Mean 30.89, median 36, mode none, range 52
Mean = 278 ÷ 9 = 30.89. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 55 − 3 = 52.
11. Mean 41.33, median 41, mode 53, range 39
Mean = 372 ÷ 9 = 41.33. Median = middle value in order = 41. Mode = most common = 53. Range = 59 − 20 = 39.
12. Mean 33, median 35, mode none, range 39
Mean = 297 ÷ 9 = 33. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 54 − 15 = 39.
Worked examples
For the data 2, 11, 13, 17, 19, find the mean, median, mode and range.
- Mean = 62 ÷ 5 = 12.4.
- Median = middle value in order = 13.
- Mode = most common = no repeated value.
- Range = 19 − 2 = 17.
- Answer: Mean 12.4, median 13, mode none, range 17
For the data 2, 17, 20, 22, 26, 26, 34, find the mean, median, mode and range.
- Mean = 147 ÷ 7 = 21.
- Median = middle value in order = 22.
- Mode = most common = 26.
- Range = 34 − 2 = 32.
- Answer: Mean 21, median 22, mode 26, range 32
For the data 2, 22, 27, 32, 36, 37, 38, 49, 53, find the mean, median, mode and range.
- Mean = 296 ÷ 9 = 32.89.
- Median = middle value in order = 36.
- Mode = most common = no repeated value.
- Range = 53 − 2 = 51.
- Answer: Mean 32.89, median 36, mode none, 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
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Frequently asked
- Is this Grade 3 Introducing Mean Essentials lesson really free?
- Yes. Every lessons 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 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 Mean Essentials?
- Move on to Introducing Mean Techniques, Introducing Mean Word Problems, Introducing Mean Common Errors, Working with Mean, which build directly on this idea.
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