Free Grade 3 Introducing Range Word Problems Lessons
Free Grade 3 lessons for 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing range word problems
Identify introducing range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing range word problems
Explain introducing range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing range word problems
Calculate introducing range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing range word problems
Compare 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 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, 6, 10, 17, 17, find the mean, median, mode and range.[1]
- 2.For the data 5, 10, 17, 18, 19, find the mean, median, mode and range.[1]
- 3.For the data 3, 4, 12, 15, 17, find the mean, median, mode and range.[1]
- 4.For the data 6, 8, 10, 16, 20, find the mean, median, mode and range.[1]
- 5.For the data 5, 8, 10, 17, 20, 38, 40, find the mean, median, mode and range.[2]
- 6.For the data 3, 6, 9, 14, 20, 26, 31, find the mean, median, mode and range.[2]
- 7.For the data 9, 11, 12, 17, 23, 24, 25, find the mean, median, mode and range.[2]
- 8.For the data 2, 11, 15, 17, 22, 32, 35, find the mean, median, mode and range.[2]
- 9.For the data 3, 15, 16, 30, 36, 39, 43, 44, 46, find the mean, median, mode and range.[3]
- 10.For the data 1, 2, 11, 20, 31, 37, 55, 55, 56, find the mean, median, mode and range.[3]
- 11.For the data 4, 14, 16, 25, 30, 35, 36, 38, 49, find the mean, median, mode and range.[3]
- 12.For the data 2, 8, 16, 25, 28, 40, 53, 56, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.8, median 10, mode 17, range 13
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 10. Mode = most common = 17. Range = 17 − 4 = 13.
2. Mean 13.8, median 17, mode none, range 14
Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 19 − 5 = 14.
3. Mean 10.2, median 12, mode none, range 14
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 17 − 3 = 14.
4. Mean 12, median 10, mode none, range 14
Mean = 60 ÷ 5 = 12. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 20 − 6 = 14.
5. Mean 19.71, median 17, mode none, range 35
Mean = 138 ÷ 7 = 19.71. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 40 − 5 = 35.
6. Mean 15.57, median 14, mode none, range 28
Mean = 109 ÷ 7 = 15.57. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 31 − 3 = 28.
7. Mean 17.29, median 17, mode none, range 16
Mean = 121 ÷ 7 = 17.29. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 25 − 9 = 16.
8. Mean 19.14, median 17, mode none, range 33
Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 35 − 2 = 33.
9. Mean 30.22, median 36, mode none, range 43
Mean = 272 ÷ 9 = 30.22. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 46 − 3 = 43.
10. Mean 29.78, median 31, mode 55, range 55
Mean = 268 ÷ 9 = 29.78. Median = middle value in order = 31. Mode = most common = 55. Range = 56 − 1 = 55.
11. Mean 27.44, median 30, mode none, range 45
Mean = 247 ÷ 9 = 27.44. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 49 − 4 = 45.
12. Mean 32, median 28, mode none, range 58
Mean = 288 ÷ 9 = 32. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 60 − 2 = 58.
Worked examples
For the data 1, 1, 3, 12, 18, find the mean, median, mode and range.
- Mean = 35 ÷ 5 = 7.
- Median = middle value in order = 3.
- Mode = most common = 1.
- Range = 18 − 1 = 17.
- Answer: Mean 7, median 3, mode 1, range 17
For the data 5, 11, 12, 26, 32, 34, 34, find the mean, median, mode and range.
- Mean = 154 ÷ 7 = 22.
- Median = middle value in order = 26.
- Mode = most common = 34.
- Range = 34 − 5 = 29.
- Answer: Mean 22, median 26, mode 34, range 29
For the data 2, 6, 8, 15, 23, 24, 31, 36, 54, find the mean, median, mode and range.
- Mean = 199 ÷ 9 = 22.11.
- Median = middle value in order = 23.
- Mode = most common = no repeated value.
- Range = 54 − 2 = 52.
- Answer: Mean 22.11, median 23, mode none, range 52
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 Range Word Problems 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 Techniques, Introducing Range Essentials, Mode. 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 Introducing Range Word Problems?
- Move on to Introducing Range Common Errors, Working with Range, Range in Context, which build directly on this idea.
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