Free Grade 3 Working with Range Essentials Lessons
Free Grade 3 lessons for Working with 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with range essentials
Identify working with range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with range essentials
Explain working with range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range essentials
Calculate working with range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range essentials
Compare working with 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 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 7, 9, 9, 13, 19, find the mean, median, mode and range.[1]
- 2.For the data 9, 9, 13, 19, 20, find the mean, median, mode and range.[1]
- 3.For the data 5, 6, 11, 12, 15, find the mean, median, mode and range.[1]
- 4.For the data 1, 9, 15, 16, 20, find the mean, median, mode and range.[1]
- 5.For the data 6, 8, 14, 14, 29, 32, 32, find the mean, median, mode and range.[2]
- 6.For the data 1, 1, 5, 5, 7, 27, 28, find the mean, median, mode and range.[2]
- 7.For the data 4, 14, 21, 28, 31, 39, 40, find the mean, median, mode and range.[2]
- 8.For the data 3, 9, 19, 32, 33, 33, 36, find the mean, median, mode and range.[2]
- 9.For the data 2, 26, 26, 35, 35, 40, 40, 52, 54, find the mean, median, mode and range.[3]
- 10.For the data 5, 6, 12, 13, 18, 34, 46, 54, 57, find the mean, median, mode and range.[3]
- 11.For the data 17, 17, 28, 30, 33, 39, 40, 49, 60, find the mean, median, mode and range.[3]
- 12.For the data 2, 4, 6, 9, 32, 35, 40, 47, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.4, median 9, mode 9, range 12
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 9. Mode = most common = 9. Range = 19 − 7 = 12.
2. Mean 14, median 13, mode 9, range 11
Mean = 70 ÷ 5 = 14. Median = middle value in order = 13. Mode = most common = 9. Range = 20 − 9 = 11.
3. Mean 9.8, median 11, mode none, range 10
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 15 − 5 = 10.
4. Mean 12.2, median 15, mode none, range 19
Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 20 − 1 = 19.
5. Mean 19.29, median 14, mode 14 and 32, range 26
Mean = 135 ÷ 7 = 19.29. Median = middle value in order = 14. Mode = most common = 14 and 32. Range = 32 − 6 = 26.
6. Mean 10.57, median 5, mode 1 and 5, range 27
Mean = 74 ÷ 7 = 10.57. Median = middle value in order = 5. Mode = most common = 1 and 5. Range = 28 − 1 = 27.
7. Mean 25.29, median 28, mode none, range 36
Mean = 177 ÷ 7 = 25.29. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 40 − 4 = 36.
8. Mean 23.57, median 32, mode 33, range 33
Mean = 165 ÷ 7 = 23.57. Median = middle value in order = 32. Mode = most common = 33. Range = 36 − 3 = 33.
9. Mean 34.44, median 35, mode 26 and 35 and 40, range 52
Mean = 310 ÷ 9 = 34.44. Median = middle value in order = 35. Mode = most common = 26 and 35 and 40. Range = 54 − 2 = 52.
10. Mean 27.22, median 18, mode none, range 52
Mean = 245 ÷ 9 = 27.22. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 57 − 5 = 52.
11. Mean 34.78, median 33, mode 17, range 43
Mean = 313 ÷ 9 = 34.78. Median = middle value in order = 33. Mode = most common = 17. Range = 60 − 17 = 43.
12. Mean 25.78, median 32, mode none, range 55
Mean = 232 ÷ 9 = 25.78. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 57 − 2 = 55.
Worked examples
For the data 1, 10, 12, 14, 19, find the mean, median, mode and range.
- Mean = 56 ÷ 5 = 11.2.
- Median = middle value in order = 12.
- Mode = most common = no repeated value.
- Range = 19 − 1 = 18.
- Answer: Mean 11.2, median 12, mode none, range 18
For the data 1, 12, 16, 28, 32, 36, 36, find the mean, median, mode and range.
- Mean = 161 ÷ 7 = 23.
- Median = middle value in order = 28.
- Mode = most common = 36.
- Range = 36 − 1 = 35.
- Answer: Mean 23, median 28, mode 36, range 35
For the data 3, 4, 10, 14, 15, 22, 23, 51, 54, find the mean, median, mode and range.
- Mean = 196 ÷ 9 = 21.78.
- Median = middle value in order = 15.
- Mode = most common = no repeated value.
- Range = 54 − 3 = 51.
- Answer: Mean 21.78, median 15, 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
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Working with Range Essentials 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 Introducing 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 Working with Range Essentials?
- Move on to Working with Range Techniques, Working with Range Word Problems, Working with Range Common Errors, Introducing Range, which build directly on this idea.
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