Free Grade 3 Working with Averages from Tables Lesson Plans
Free Grade 3 lesson plans for Working with 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with averages from tables
Explain working with averages from tables accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with averages from tables
Calculate working with averages from tables accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with averages from tables
Compare working with averages from tables accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with averages from tables
Justify working with 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 Working with 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 2, 5, 17, 18, 19, find the mean, median, mode and range.[1]
- 2.For the data 2, 2, 2, 3, 5, find the mean, median, mode and range.[1]
- 3.For the data 8, 9, 10, 12, 18, find the mean, median, mode and range.[1]
- 4.For the data 2, 4, 6, 8, 11, find the mean, median, mode and range.[1]
- 5.For the data 1, 8, 10, 17, 24, 26, 30, find the mean, median, mode and range.[2]
- 6.For the data 4, 7, 9, 10, 19, 30, 33, find the mean, median, mode and range.[2]
- 7.For the data 4, 9, 11, 11, 21, 34, 36, find the mean, median, mode and range.[2]
- 8.For the data 1, 5, 11, 18, 22, 26, 30, find the mean, median, mode and range.[2]
- 9.For the data 3, 11, 24, 30, 37, 42, 46, 51, 52, find the mean, median, mode and range.[3]
- 10.For the data 6, 7, 11, 15, 34, 42, 43, 57, 58, find the mean, median, mode and range.[3]
- 11.For the data 2, 4, 13, 18, 35, 35, 48, 50, 53, find the mean, median, mode and range.[3]
- 12.For the data 6, 22, 23, 30, 33, 46, 47, 58, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.2, median 17, mode none, range 17
Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 19 − 2 = 17.
2. Mean 2.8, median 2, mode 2, range 3
Mean = 14 ÷ 5 = 2.8. Median = middle value in order = 2. Mode = most common = 2. Range = 5 − 2 = 3.
3. Mean 11.4, median 10, mode none, range 10
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 18 − 8 = 10.
4. Mean 6.2, median 6, mode none, range 9
Mean = 31 ÷ 5 = 6.2. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 11 − 2 = 9.
5. Mean 16.57, median 17, mode none, range 29
Mean = 116 ÷ 7 = 16.57. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 30 − 1 = 29.
6. Mean 16, median 10, mode none, range 29
Mean = 112 ÷ 7 = 16. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 33 − 4 = 29.
7. Mean 18, median 11, mode 11, range 32
Mean = 126 ÷ 7 = 18. Median = middle value in order = 11. Mode = most common = 11. Range = 36 − 4 = 32.
8. Mean 16.14, median 18, mode none, range 29
Mean = 113 ÷ 7 = 16.14. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 30 − 1 = 29.
9. Mean 32.89, median 37, mode none, range 49
Mean = 296 ÷ 9 = 32.89. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 52 − 3 = 49.
10. Mean 30.33, median 34, mode none, range 52
Mean = 273 ÷ 9 = 30.33. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 58 − 6 = 52.
11. Mean 28.67, median 35, mode 35, range 51
Mean = 258 ÷ 9 = 28.67. Median = middle value in order = 35. Mode = most common = 35. Range = 53 − 2 = 51.
12. Mean 36, median 33, mode none, range 53
Mean = 324 ÷ 9 = 36. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 59 − 6 = 53.
Worked examples
For the data 1, 5, 5, 19, 20, find the mean, median, mode and range.
- Mean = 50 ÷ 5 = 10.
- Median = middle value in order = 5.
- Mode = most common = 5.
- Range = 20 − 1 = 19.
- Answer: Mean 10, median 5, mode 5, range 19
For the data 2, 3, 4, 5, 15, 16, 20, find the mean, median, mode and range.
- Mean = 65 ÷ 7 = 9.29.
- Median = middle value in order = 5.
- Mode = most common = no repeated value.
- Range = 20 − 2 = 18.
- Answer: Mean 9.29, median 5, mode none, range 18
For the data 1, 13, 16, 19, 33, 33, 46, 52, 55, find the mean, median, mode and range.
- Mean = 268 ÷ 9 = 29.78.
- Median = middle value in order = 33.
- Mode = most common = 33.
- Range = 55 − 1 = 54.
- Answer: Mean 29.78, median 33, mode 33, range 54
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 Working with 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 Introducing Averages from Tables, 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 Working with Averages from Tables?
- Move on to Averages from Tables in Context, Mean, Median, Mode, which build directly on this idea.
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