Free Grade 3 Introducing Averages from Tables Lesson Plans
Free Grade 3 lesson plans for Introducing Averages from Tables: 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
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing averages from tables
Explain introducing averages from tables accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing averages from tables
Calculate introducing averages from tables accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing averages from tables
Compare introducing averages from tables accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing averages from tables
Justify introducing averages from tables 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 Averages from Tables 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, 3, 6, 13, 15, find the mean, median, mode and range.[1]
- 2.For the data 9, 12, 14, 19, 20, find the mean, median, mode and range.[1]
- 3.For the data 7, 8, 14, 18, 19, find the mean, median, mode and range.[1]
- 4.For the data 2, 2, 3, 20, 20, find the mean, median, mode and range.[1]
- 5.For the data 1, 3, 5, 9, 31, 33, 38, find the mean, median, mode and range.[2]
- 6.For the data 4, 7, 8, 20, 27, 33, 34, find the mean, median, mode and range.[2]
- 7.For the data 1, 3, 10, 14, 14, 14, 18, find the mean, median, mode and range.[2]
- 8.For the data 12, 13, 14, 15, 17, 24, 33, find the mean, median, mode and range.[2]
- 9.For the data 4, 8, 13, 19, 33, 33, 39, 40, 41, find the mean, median, mode and range.[3]
- 10.For the data 24, 24, 27, 28, 29, 36, 43, 45, 56, find the mean, median, mode and range.[3]
- 11.For the data 12, 34, 43, 46, 49, 58, 59, 59, 60, find the mean, median, mode and range.[3]
- 12.For the data 2, 9, 14, 19, 21, 25, 29, 47, 54, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 7.6, median 6, mode none, range 14
Mean = 38 ÷ 5 = 7.6. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 15 − 1 = 14.
2. Mean 14.8, median 14, mode none, range 11
Mean = 74 ÷ 5 = 14.8. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 9 = 11.
3. Mean 13.2, median 14, mode none, range 12
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 19 − 7 = 12.
4. Mean 9.4, median 3, mode 2 and 20, range 18
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 3. Mode = most common = 2 and 20. Range = 20 − 2 = 18.
5. Mean 17.14, median 9, mode none, range 37
Mean = 120 ÷ 7 = 17.14. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 38 − 1 = 37.
6. Mean 19, median 20, mode none, range 30
Mean = 133 ÷ 7 = 19. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 34 − 4 = 30.
7. Mean 10.57, median 14, mode 14, range 17
Mean = 74 ÷ 7 = 10.57. Median = middle value in order = 14. Mode = most common = 14. Range = 18 − 1 = 17.
8. Mean 18.29, median 15, mode none, range 21
Mean = 128 ÷ 7 = 18.29. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 33 − 12 = 21.
9. Mean 25.56, median 33, mode 33, range 37
Mean = 230 ÷ 9 = 25.56. Median = middle value in order = 33. Mode = most common = 33. Range = 41 − 4 = 37.
10. Mean 34.67, median 29, mode 24, range 32
Mean = 312 ÷ 9 = 34.67. Median = middle value in order = 29. Mode = most common = 24. Range = 56 − 24 = 32.
11. Mean 46.67, median 49, mode 59, range 48
Mean = 420 ÷ 9 = 46.67. Median = middle value in order = 49. Mode = most common = 59. Range = 60 − 12 = 48.
12. Mean 24.44, median 21, mode none, range 52
Mean = 220 ÷ 9 = 24.44. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 54 − 2 = 52.
Worked examples
For the data 1, 2, 2, 3, 9, find the mean, median, mode and range.
- Mean = 17 ÷ 5 = 3.4.
- Median = middle value in order = 2.
- Mode = most common = 2.
- Range = 9 − 1 = 8.
- Answer: Mean 3.4, median 2, mode 2, range 8
For the data 4, 8, 18, 21, 22, 29, 32, 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 = 32 − 4 = 28.
- Answer: Mean 19.14, median 21, mode none, range 28
For the data 2, 10, 16, 18, 20, 21, 38, 47, 58, find the mean, median, mode and range.
- Mean = 230 ÷ 9 = 25.56.
- Median = middle value in order = 20.
- Mode = most common = no repeated value.
- Range = 58 − 2 = 56.
- Answer: Mean 25.56, median 20, mode none, range 56
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 Averages from Tables 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 Range. 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 Averages from Tables?
- Move on to Working with Averages from Tables, Averages from Tables in Context, Mean, Median, which build directly on this idea.
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