Free Grade 3 Introducing Mean Essentials Worksheets
Free Grade 3 worksheets 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
15 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 2, 4, 9, 10, 18, find the mean, median, mode and range.[1]
- 2.For the data 4, 9, 9, 11, 20, find the mean, median, mode and range.[1]
- 3.For the data 7, 12, 16, 16, 20, find the mean, median, mode and range.[1]
- 4.For the data 2, 6, 7, 10, 17, find the mean, median, mode and range.[1]
- 5.For the data 3, 13, 15, 17, 18, 31, 38, find the mean, median, mode and range.[2]
- 6.For the data 1, 2, 8, 12, 14, 18, 33, find the mean, median, mode and range.[2]
- 7.For the data 9, 12, 22, 25, 25, 31, 33, find the mean, median, mode and range.[2]
- 8.For the data 2, 3, 6, 13, 18, 25, 31, find the mean, median, mode and range.[2]
- 9.For the data 5, 20, 21, 29, 30, 35, 50, 54, 56, find the mean, median, mode and range.[3]
- 10.For the data 9, 19, 21, 31, 34, 36, 39, 41, 56, find the mean, median, mode and range.[3]
- 11.For the data 7, 11, 14, 15, 18, 27, 33, 49, 50, find the mean, median, mode and range.[3]
- 12.For the data 11, 12, 24, 33, 37, 44, 54, 56, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.6, median 9, mode none, range 16
Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 18 − 2 = 16.
2. Mean 10.6, median 9, mode 9, range 16
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 9. Mode = most common = 9. Range = 20 − 4 = 16.
3. Mean 14.2, median 16, mode 16, range 13
Mean = 71 ÷ 5 = 14.2. Median = middle value in order = 16. Mode = most common = 16. Range = 20 − 7 = 13.
4. Mean 8.4, median 7, mode none, range 15
Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 17 − 2 = 15.
5. Mean 19.29, median 17, mode none, range 35
Mean = 135 ÷ 7 = 19.29. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 38 − 3 = 35.
6. Mean 12.57, median 12, mode none, range 32
Mean = 88 ÷ 7 = 12.57. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 33 − 1 = 32.
7. Mean 22.43, median 25, mode 25, range 24
Mean = 157 ÷ 7 = 22.43. Median = middle value in order = 25. Mode = most common = 25. Range = 33 − 9 = 24.
8. Mean 14, median 13, mode none, range 29
Mean = 98 ÷ 7 = 14. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 31 − 2 = 29.
9. Mean 33.33, median 30, mode none, range 51
Mean = 300 ÷ 9 = 33.33. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 56 − 5 = 51.
10. Mean 31.78, median 34, mode none, range 47
Mean = 286 ÷ 9 = 31.78. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 56 − 9 = 47.
11. Mean 24.89, median 18, mode none, range 43
Mean = 224 ÷ 9 = 24.89. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 50 − 7 = 43.
12. Mean 36.33, median 37, mode 56, range 45
Mean = 327 ÷ 9 = 36.33. Median = middle value in order = 37. Mode = most common = 56. Range = 56 − 11 = 45.
Worked examples
For the data 2, 10, 11, 19, 20, find the mean, median, mode and range.
- Mean = 62 ÷ 5 = 12.4.
- Median = middle value in order = 11.
- Mode = most common = no repeated value.
- Range = 20 − 2 = 18.
- Answer: Mean 12.4, median 11, mode none, range 18
For the data 2, 6, 7, 18, 25, 38, 40, find the mean, median, mode and range.
- Mean = 136 ÷ 7 = 19.43.
- Median = middle value in order = 18.
- Mode = most common = no repeated value.
- Range = 40 − 2 = 38.
- Answer: Mean 19.43, median 18, mode none, range 38
For the data 6, 16, 16, 31, 35, 38, 39, 48, 48, find the mean, median, mode and range.
- Mean = 277 ÷ 9 = 30.78.
- Median = middle value in order = 35.
- Mode = most common = 16 and 48.
- Range = 48 − 6 = 42.
- Answer: Mean 30.78, median 35, mode 16 and 48, range 42
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 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 Measurement. 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 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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