Free Grade 3 Introducing Range Word Problems Worksheets
Free Grade 3 worksheets 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 6, 15, 17, 17, 18, find the mean, median, mode and range.[1]
- 2.For the data 1, 3, 4, 9, 11, find the mean, median, mode and range.[1]
- 3.For the data 2, 4, 5, 7, 12, find the mean, median, mode and range.[1]
- 4.For the data 2, 7, 11, 15, 20, find the mean, median, mode and range.[1]
- 5.For the data 5, 15, 19, 22, 31, 32, 40, find the mean, median, mode and range.[2]
- 6.For the data 5, 7, 11, 13, 27, 32, 36, find the mean, median, mode and range.[2]
- 7.For the data 1, 6, 6, 8, 10, 26, 31, find the mean, median, mode and range.[2]
- 8.For the data 17, 20, 24, 27, 29, 32, 40, find the mean, median, mode and range.[2]
- 9.For the data 5, 15, 23, 25, 35, 36, 37, 48, 52, find the mean, median, mode and range.[3]
- 10.For the data 11, 19, 19, 27, 40, 44, 49, 52, 59, find the mean, median, mode and range.[3]
- 11.For the data 5, 10, 15, 35, 42, 54, 54, 55, 57, find the mean, median, mode and range.[3]
- 12.For the data 2, 19, 31, 46, 48, 49, 53, 57, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 14.6, median 17, mode 17, range 12
Mean = 73 ÷ 5 = 14.6. Median = middle value in order = 17. Mode = most common = 17. Range = 18 − 6 = 12.
2. Mean 5.6, median 4, mode none, range 10
Mean = 28 ÷ 5 = 5.6. Median = middle value in order = 4. Mode = most common = no repeated value. Range = 11 − 1 = 10.
3. Mean 6, median 5, mode none, range 10
Mean = 30 ÷ 5 = 6. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 12 − 2 = 10.
4. Mean 11, median 11, mode none, range 18
Mean = 55 ÷ 5 = 11. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 20 − 2 = 18.
5. Mean 23.43, median 22, mode none, range 35
Mean = 164 ÷ 7 = 23.43. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 40 − 5 = 35.
6. Mean 18.71, median 13, mode none, range 31
Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 36 − 5 = 31.
7. Mean 12.57, median 8, mode 6, range 30
Mean = 88 ÷ 7 = 12.57. Median = middle value in order = 8. Mode = most common = 6. Range = 31 − 1 = 30.
8. Mean 27, median 27, mode none, range 23
Mean = 189 ÷ 7 = 27. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 40 − 17 = 23.
9. Mean 30.67, median 35, mode none, range 47
Mean = 276 ÷ 9 = 30.67. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 52 − 5 = 47.
10. Mean 35.56, median 40, mode 19, range 48
Mean = 320 ÷ 9 = 35.56. Median = middle value in order = 40. Mode = most common = 19. Range = 59 − 11 = 48.
11. Mean 36.33, median 42, mode 54, range 52
Mean = 327 ÷ 9 = 36.33. Median = middle value in order = 42. Mode = most common = 54. Range = 57 − 5 = 52.
12. Mean 40.56, median 48, mode none, range 58
Mean = 365 ÷ 9 = 40.56. Median = middle value in order = 48. Mode = most common = no repeated value. Range = 60 − 2 = 58.
Worked examples
For the data 3, 6, 7, 13, 16, find the mean, median, mode and range.
- Mean = 45 ÷ 5 = 9.
- Median = middle value in order = 7.
- Mode = most common = no repeated value.
- Range = 16 − 3 = 13.
- Answer: Mean 9, median 7, mode none, range 13
For the data 9, 11, 11, 16, 18, 20, 32, find the mean, median, mode and range.
- Mean = 117 ÷ 7 = 16.71.
- Median = middle value in order = 16.
- Mode = most common = 11.
- Range = 32 − 9 = 23.
- Answer: Mean 16.71, median 16, mode 11, range 23
For the data 4, 11, 19, 20, 20, 20, 24, 48, 55, find the mean, median, mode and range.
- Mean = 221 ÷ 9 = 24.56.
- Median = middle value in order = 20.
- Mode = most common = 20.
- Range = 55 − 4 = 51.
- Answer: Mean 24.56, median 20, mode 20, 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
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Frequently asked
- Is this Grade 3 Introducing Range Word Problems 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 Introducing Range Techniques, 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 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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