Free Grade 3 Working with Introducing Range Essentials Worksheets
Free Grade 3 worksheets for Working with Introducing Range 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing range essentials
Identify working with introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range essentials
Explain working with introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range essentials
Calculate working with introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range essentials
Compare working with introducing range 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 Working with Introducing Range 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, 9, 13, 13, 20, find the mean, median, mode and range.[1]
- 2.For the data 4, 6, 8, 17, 19, find the mean, median, mode and range.[1]
- 3.For the data 6, 6, 9, 11, 18, find the mean, median, mode and range.[1]
- 4.For the data 1, 8, 11, 11, 17, find the mean, median, mode and range.[1]
- 5.For the data 7, 11, 14, 28, 31, 36, 40, find the mean, median, mode and range.[2]
- 6.For the data 10, 14, 15, 15, 25, 39, 40, find the mean, median, mode and range.[2]
- 7.For the data 1, 3, 5, 8, 17, 31, 37, find the mean, median, mode and range.[2]
- 8.For the data 5, 8, 9, 12, 26, 34, 34, find the mean, median, mode and range.[2]
- 9.For the data 4, 6, 17, 24, 30, 31, 33, 55, 56, find the mean, median, mode and range.[3]
- 10.For the data 2, 4, 14, 22, 35, 35, 46, 49, 58, find the mean, median, mode and range.[3]
- 11.For the data 1, 10, 12, 14, 31, 34, 39, 47, 57, find the mean, median, mode and range.[3]
- 12.For the data 5, 9, 22, 26, 27, 38, 47, 49, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.4, median 13, mode 13, range 18
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 13. Mode = most common = 13. Range = 20 − 2 = 18.
2. Mean 10.8, median 8, mode none, range 15
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 19 − 4 = 15.
3. Mean 10, median 9, mode 6, range 12
Mean = 50 ÷ 5 = 10. Median = middle value in order = 9. Mode = most common = 6. Range = 18 − 6 = 12.
4. Mean 9.6, median 11, mode 11, range 16
Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 11. Mode = most common = 11. Range = 17 − 1 = 16.
5. Mean 23.86, median 28, mode none, range 33
Mean = 167 ÷ 7 = 23.86. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 40 − 7 = 33.
6. Mean 22.57, median 15, mode 15, range 30
Mean = 158 ÷ 7 = 22.57. Median = middle value in order = 15. Mode = most common = 15. Range = 40 − 10 = 30.
7. Mean 14.57, median 8, mode none, range 36
Mean = 102 ÷ 7 = 14.57. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 37 − 1 = 36.
8. Mean 18.29, median 12, mode 34, range 29
Mean = 128 ÷ 7 = 18.29. Median = middle value in order = 12. Mode = most common = 34. Range = 34 − 5 = 29.
9. Mean 28.44, median 30, mode none, range 52
Mean = 256 ÷ 9 = 28.44. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 56 − 4 = 52.
10. Mean 29.44, median 35, mode 35, range 56
Mean = 265 ÷ 9 = 29.44. Median = middle value in order = 35. Mode = most common = 35. Range = 58 − 2 = 56.
11. Mean 27.22, median 31, mode none, range 56
Mean = 245 ÷ 9 = 27.22. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 57 − 1 = 56.
12. Mean 31, median 27, mode none, range 51
Mean = 279 ÷ 9 = 31. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 56 − 5 = 51.
Worked examples
For the data 6, 6, 8, 12, 13, find the mean, median, mode and range.
- Mean = 45 ÷ 5 = 9.
- Median = middle value in order = 8.
- Mode = most common = 6.
- Range = 13 − 6 = 7.
- Answer: Mean 9, median 8, mode 6, range 7
For the data 2, 9, 20, 33, 36, 37, 40, find the mean, median, mode and range.
- Mean = 177 ÷ 7 = 25.29.
- Median = middle value in order = 33.
- Mode = most common = no repeated value.
- Range = 40 − 2 = 38.
- Answer: Mean 25.29, median 33, mode none, range 38
For the data 2, 3, 23, 25, 39, 51, 51, 57, 58, find the mean, median, mode and range.
- Mean = 309 ÷ 9 = 34.33.
- Median = middle value in order = 39.
- Mode = most common = 51.
- Range = 58 − 2 = 56.
- Answer: Mean 34.33, median 39, mode 51, 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.
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Frequently asked
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- 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 Rules and Methods in Introducing Range Essentials, Key Vocabulary of Introducing Range Essentials, Mode. 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 Working with Introducing Range Essentials?
- Move on to Introducing Range Essentials in Examinations, Introducing Range Techniques, Introducing Range Word Problems, Introducing Range Common Errors, which build directly on this idea.
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