Free Grade 3 Introducing Averages from Tables Lessons
Free Grade 3 lessons 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
Core
30 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 5, 10, 12, 14, 17, find the mean, median, mode and range.[1]
- 2.For the data 6, 9, 12, 12, 19, find the mean, median, mode and range.[1]
- 3.For the data 2, 2, 3, 12, 16, find the mean, median, mode and range.[1]
- 4.For the data 4, 8, 8, 18, 18, find the mean, median, mode and range.[1]
- 5.For the data 2, 23, 24, 32, 33, 33, 38, find the mean, median, mode and range.[2]
- 6.For the data 4, 10, 14, 22, 33, 40, 40, find the mean, median, mode and range.[2]
- 7.For the data 2, 14, 15, 17, 17, 24, 28, find the mean, median, mode and range.[2]
- 8.For the data 1, 3, 17, 20, 23, 26, 33, find the mean, median, mode and range.[2]
- 9.For the data 4, 6, 9, 11, 28, 30, 34, 46, 47, find the mean, median, mode and range.[3]
- 10.For the data 5, 6, 10, 11, 19, 32, 35, 45, 47, find the mean, median, mode and range.[3]
- 11.For the data 5, 10, 21, 28, 36, 42, 43, 47, 51, find the mean, median, mode and range.[3]
- 12.For the data 2, 9, 10, 19, 35, 35, 40, 40, 42, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.6, median 12, mode none, range 12
Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 17 − 5 = 12.
2. Mean 11.6, median 12, mode 12, range 13
Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 12. Mode = most common = 12. Range = 19 − 6 = 13.
3. Mean 7, median 3, mode 2, range 14
Mean = 35 ÷ 5 = 7. Median = middle value in order = 3. Mode = most common = 2. Range = 16 − 2 = 14.
4. Mean 11.2, median 8, mode 8 and 18, range 14
Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 8. Mode = most common = 8 and 18. Range = 18 − 4 = 14.
5. Mean 26.43, median 32, mode 33, range 36
Mean = 185 ÷ 7 = 26.43. Median = middle value in order = 32. Mode = most common = 33. Range = 38 − 2 = 36.
6. Mean 23.29, median 22, mode 40, range 36
Mean = 163 ÷ 7 = 23.29. Median = middle value in order = 22. Mode = most common = 40. Range = 40 − 4 = 36.
7. Mean 16.71, median 17, mode 17, range 26
Mean = 117 ÷ 7 = 16.71. Median = middle value in order = 17. Mode = most common = 17. Range = 28 − 2 = 26.
8. Mean 17.57, median 20, mode none, range 32
Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 33 − 1 = 32.
9. Mean 23.89, median 28, mode none, range 43
Mean = 215 ÷ 9 = 23.89. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 47 − 4 = 43.
10. Mean 23.33, median 19, mode none, range 42
Mean = 210 ÷ 9 = 23.33. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 47 − 5 = 42.
11. Mean 31.44, median 36, mode none, range 46
Mean = 283 ÷ 9 = 31.44. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 51 − 5 = 46.
12. Mean 25.78, median 35, mode 35 and 40, range 40
Mean = 232 ÷ 9 = 25.78. Median = middle value in order = 35. Mode = most common = 35 and 40. Range = 42 − 2 = 40.
Worked examples
For the data 1, 6, 8, 11, 15, find the mean, median, mode and range.
- Mean = 41 ÷ 5 = 8.2.
- Median = middle value in order = 8.
- Mode = most common = no repeated value.
- Range = 15 − 1 = 14.
- Answer: Mean 8.2, median 8, mode none, range 14
For the data 14, 14, 21, 22, 23, 30, 30, find the mean, median, mode and range.
- Mean = 154 ÷ 7 = 22.
- Median = middle value in order = 22.
- Mode = most common = 14 and 30.
- Range = 30 − 14 = 16.
- Answer: Mean 22, median 22, mode 14 and 30, range 16
For the data 6, 16, 18, 27, 38, 41, 51, 52, 59, find the mean, median, mode and range.
- Mean = 308 ÷ 9 = 34.22.
- Median = middle value in order = 38.
- Mode = most common = no repeated value.
- Range = 59 − 6 = 53.
- Answer: Mean 34.22, median 38, mode none, range 53
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 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 Range. 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 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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