Free Grade 3 Working with Introducing Range Word Problems Lessons
Free Grade 3 lessons for Working with Introducing Range Word Problems: 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 introducing range word problems
Identify working with introducing range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range word problems
Explain working with introducing range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range word problems
Calculate working with introducing range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range word problems
Compare working with introducing range word problems 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 Word Problems 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 4, 8, 9, 14, 14, find the mean, median, mode and range.[1]
- 2.For the data 3, 4, 9, 12, 13, find the mean, median, mode and range.[1]
- 3.For the data 1, 1, 19, 20, 20, find the mean, median, mode and range.[1]
- 4.For the data 3, 5, 12, 14, 20, find the mean, median, mode and range.[1]
- 5.For the data 11, 11, 16, 17, 27, 31, 40, find the mean, median, mode and range.[2]
- 6.For the data 9, 10, 19, 19, 23, 33, 40, find the mean, median, mode and range.[2]
- 7.For the data 5, 12, 20, 21, 28, 31, 38, find the mean, median, mode and range.[2]
- 8.For the data 9, 19, 21, 31, 35, 37, 40, find the mean, median, mode and range.[2]
- 9.For the data 5, 8, 14, 16, 27, 29, 38, 46, 56, find the mean, median, mode and range.[3]
- 10.For the data 7, 12, 13, 14, 26, 27, 36, 52, 58, find the mean, median, mode and range.[3]
- 11.For the data 1, 4, 13, 22, 22, 22, 31, 43, 49, find the mean, median, mode and range.[3]
- 12.For the data 7, 34, 36, 38, 38, 49, 54, 56, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.8, median 9, mode 14, range 10
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 9. Mode = most common = 14. Range = 14 − 4 = 10.
2. Mean 8.2, median 9, mode none, range 10
Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 13 − 3 = 10.
3. Mean 12.2, median 19, mode 1 and 20, range 19
Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 19. Mode = most common = 1 and 20. Range = 20 − 1 = 19.
4. Mean 10.8, median 12, mode none, range 17
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 20 − 3 = 17.
5. Mean 21.86, median 17, mode 11, range 29
Mean = 153 ÷ 7 = 21.86. Median = middle value in order = 17. Mode = most common = 11. Range = 40 − 11 = 29.
6. Mean 21.86, median 19, mode 19, range 31
Mean = 153 ÷ 7 = 21.86. Median = middle value in order = 19. Mode = most common = 19. Range = 40 − 9 = 31.
7. Mean 22.14, median 21, mode none, range 33
Mean = 155 ÷ 7 = 22.14. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 38 − 5 = 33.
8. Mean 27.43, median 31, mode none, range 31
Mean = 192 ÷ 7 = 27.43. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 40 − 9 = 31.
9. Mean 26.56, median 27, mode none, range 51
Mean = 239 ÷ 9 = 26.56. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 56 − 5 = 51.
10. Mean 27.22, median 26, mode none, range 51
Mean = 245 ÷ 9 = 27.22. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 58 − 7 = 51.
11. Mean 23, median 22, mode 22, range 48
Mean = 207 ÷ 9 = 23. Median = middle value in order = 22. Mode = most common = 22. Range = 49 − 1 = 48.
12. Mean 41.22, median 38, mode 38, range 52
Mean = 371 ÷ 9 = 41.22. Median = middle value in order = 38. Mode = most common = 38. Range = 59 − 7 = 52.
Worked examples
For the data 4, 6, 14, 16, 20, find the mean, median, mode and range.
- Mean = 60 ÷ 5 = 12.
- Median = middle value in order = 14.
- Mode = most common = no repeated value.
- Range = 20 − 4 = 16.
- Answer: Mean 12, median 14, mode none, range 16
For the data 1, 6, 6, 16, 18, 19, 40, find the mean, median, mode and range.
- Mean = 106 ÷ 7 = 15.14.
- Median = middle value in order = 16.
- Mode = most common = 6.
- Range = 40 − 1 = 39.
- Answer: Mean 15.14, median 16, mode 6, range 39
For the data 1, 25, 28, 46, 48, 50, 52, 54, 55, find the mean, median, mode and range.
- Mean = 359 ÷ 9 = 39.89.
- Median = middle value in order = 48.
- Mode = most common = no repeated value.
- Range = 55 − 1 = 54.
- Answer: Mean 39.89, median 48, mode none, 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.
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Frequently asked
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- What should a learner already know before this?
- Start with Rules and Methods in Introducing Range Word Problems, Key Vocabulary of Introducing Range Word Problems, Introducing Range Techniques. 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 Introducing Range Word Problems?
- Move on to Introducing Range Word Problems in Examinations, Introducing Range Essentials, Introducing Range Techniques, Introducing Range Common Errors, which build directly on this idea.
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