Free Grade 3 Introducing Averages from Tables Worksheets
Free Grade 3 worksheets 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
15 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 13, 15, 16, 17, 18, find the mean, median, mode and range.[1]
- 2.For the data 2, 5, 6, 17, 18, find the mean, median, mode and range.[1]
- 3.For the data 9, 10, 12, 16, 17, find the mean, median, mode and range.[1]
- 4.For the data 4, 5, 9, 11, 20, find the mean, median, mode and range.[1]
- 5.For the data 11, 12, 15, 17, 18, 35, 36, find the mean, median, mode and range.[2]
- 6.For the data 6, 11, 16, 19, 30, 32, 39, find the mean, median, mode and range.[2]
- 7.For the data 9, 23, 25, 31, 33, 34, 39, find the mean, median, mode and range.[2]
- 8.For the data 2, 6, 17, 18, 30, 39, 40, find the mean, median, mode and range.[2]
- 9.For the data 8, 12, 18, 27, 30, 40, 45, 47, 49, find the mean, median, mode and range.[3]
- 10.For the data 1, 2, 11, 12, 18, 46, 48, 53, 54, find the mean, median, mode and range.[3]
- 11.For the data 1, 3, 15, 16, 21, 34, 49, 53, 57, find the mean, median, mode and range.[3]
- 12.For the data 14, 19, 21, 28, 31, 43, 49, 51, 53, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 15.8, median 16, mode none, range 5
Mean = 79 ÷ 5 = 15.8. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 18 − 13 = 5.
2. Mean 9.6, median 6, mode none, range 16
Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 18 − 2 = 16.
3. Mean 12.8, median 12, mode none, range 8
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 17 − 9 = 8.
4. Mean 9.8, median 9, mode none, range 16
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 4 = 16.
5. Mean 20.57, median 17, mode none, range 25
Mean = 144 ÷ 7 = 20.57. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 36 − 11 = 25.
6. Mean 21.86, median 19, mode none, range 33
Mean = 153 ÷ 7 = 21.86. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 39 − 6 = 33.
7. Mean 27.71, median 31, mode none, range 30
Mean = 194 ÷ 7 = 27.71. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 39 − 9 = 30.
8. Mean 21.71, median 18, mode none, range 38
Mean = 152 ÷ 7 = 21.71. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 40 − 2 = 38.
9. Mean 30.67, median 30, mode none, range 41
Mean = 276 ÷ 9 = 30.67. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 49 − 8 = 41.
10. Mean 27.22, median 18, mode none, range 53
Mean = 245 ÷ 9 = 27.22. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 54 − 1 = 53.
11. Mean 27.67, median 21, mode none, range 56
Mean = 249 ÷ 9 = 27.67. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 57 − 1 = 56.
12. Mean 34.33, median 31, mode none, range 39
Mean = 309 ÷ 9 = 34.33. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 53 − 14 = 39.
Worked examples
For the data 1, 2, 9, 10, 20, find the mean, median, mode and range.
- Mean = 42 ÷ 5 = 8.4.
- Median = middle value in order = 9.
- Mode = most common = no repeated value.
- Range = 20 − 1 = 19.
- Answer: Mean 8.4, median 9, mode none, range 19
For the data 6, 14, 15, 15, 20, 39, 40, find the mean, median, mode and range.
- Mean = 149 ÷ 7 = 21.29.
- Median = middle value in order = 15.
- Mode = most common = 15.
- Range = 40 − 6 = 34.
- Answer: Mean 21.29, median 15, mode 15, range 34
For the data 1, 22, 25, 30, 34, 37, 39, 48, 52, find the mean, median, mode and range.
- Mean = 288 ÷ 9 = 32.
- Median = middle value in order = 34.
- Mode = most common = no repeated value.
- Range = 52 − 1 = 51.
- Answer: Mean 32, median 34, 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 Averages from Tables worksheet really free?
- Yes. Every worksheets 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 worksheet 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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