Free Grade 3 Introducing Mode Word Problems Worksheets
Free Grade 3 worksheets for Introducing Mode 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing mode word problems
Identify introducing mode word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing mode word problems
Explain introducing mode word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing mode word problems
Calculate introducing mode word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing mode word problems
Compare introducing mode 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 Mode 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 5, 10, 11, 19, 19, find the mean, median, mode and range.[1]
- 2.For the data 8, 13, 16, 16, 17, find the mean, median, mode and range.[1]
- 3.For the data 2, 5, 7, 18, 20, find the mean, median, mode and range.[1]
- 4.For the data 2, 4, 4, 7, 16, find the mean, median, mode and range.[1]
- 5.For the data 1, 1, 11, 13, 15, 20, 35, find the mean, median, mode and range.[2]
- 6.For the data 4, 4, 4, 9, 21, 26, 34, find the mean, median, mode and range.[2]
- 7.For the data 7, 13, 25, 29, 34, 38, 38, find the mean, median, mode and range.[2]
- 8.For the data 2, 4, 11, 15, 24, 24, 29, find the mean, median, mode and range.[2]
- 9.For the data 6, 11, 22, 37, 42, 44, 49, 50, 54, find the mean, median, mode and range.[3]
- 10.For the data 8, 10, 23, 29, 31, 32, 43, 51, 51, find the mean, median, mode and range.[3]
- 11.For the data 6, 11, 13, 32, 39, 42, 53, 56, 60, find the mean, median, mode and range.[3]
- 12.For the data 3, 3, 34, 35, 38, 39, 43, 50, 54, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.8, median 11, mode 19, range 14
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 11. Mode = most common = 19. Range = 19 − 5 = 14.
2. Mean 14, median 16, mode 16, range 9
Mean = 70 ÷ 5 = 14. Median = middle value in order = 16. Mode = most common = 16. Range = 17 − 8 = 9.
3. Mean 10.4, median 7, mode none, range 18
Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 20 − 2 = 18.
4. Mean 6.6, median 4, mode 4, range 14
Mean = 33 ÷ 5 = 6.6. Median = middle value in order = 4. Mode = most common = 4. Range = 16 − 2 = 14.
5. Mean 13.71, median 13, mode 1, range 34
Mean = 96 ÷ 7 = 13.71. Median = middle value in order = 13. Mode = most common = 1. Range = 35 − 1 = 34.
6. Mean 14.57, median 9, mode 4, range 30
Mean = 102 ÷ 7 = 14.57. Median = middle value in order = 9. Mode = most common = 4. Range = 34 − 4 = 30.
7. Mean 26.29, median 29, mode 38, range 31
Mean = 184 ÷ 7 = 26.29. Median = middle value in order = 29. Mode = most common = 38. Range = 38 − 7 = 31.
8. Mean 15.57, median 15, mode 24, range 27
Mean = 109 ÷ 7 = 15.57. Median = middle value in order = 15. Mode = most common = 24. Range = 29 − 2 = 27.
9. Mean 35, median 42, mode none, range 48
Mean = 315 ÷ 9 = 35. Median = middle value in order = 42. Mode = most common = no repeated value. Range = 54 − 6 = 48.
10. Mean 30.89, median 31, mode 51, range 43
Mean = 278 ÷ 9 = 30.89. Median = middle value in order = 31. Mode = most common = 51. Range = 51 − 8 = 43.
11. Mean 34.67, median 39, mode none, range 54
Mean = 312 ÷ 9 = 34.67. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 60 − 6 = 54.
12. Mean 33.22, median 38, mode 3, range 51
Mean = 299 ÷ 9 = 33.22. Median = middle value in order = 38. Mode = most common = 3. Range = 54 − 3 = 51.
Worked examples
For the data 1, 1, 11, 12, 17, find the mean, median, mode and range.
- Mean = 42 ÷ 5 = 8.4.
- Median = middle value in order = 11.
- Mode = most common = 1.
- Range = 17 − 1 = 16.
- Answer: Mean 8.4, median 11, mode 1, range 16
For the data 4, 9, 10, 13, 27, 28, 30, find the mean, median, mode and range.
- Mean = 121 ÷ 7 = 17.29.
- Median = middle value in order = 13.
- Mode = most common = no repeated value.
- Range = 30 − 4 = 26.
- Answer: Mean 17.29, median 13, mode none, range 26
For the data 4, 10, 11, 12, 35, 37, 53, 58, 58, find the mean, median, mode and range.
- Mean = 278 ÷ 9 = 30.89.
- Median = middle value in order = 35.
- Mode = most common = 58.
- Range = 58 − 4 = 54.
- Answer: Mean 30.89, median 35, mode 58, 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.
Assessment objectives
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Frequently asked
- Is this Grade 3 Introducing Mode 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 Mode Techniques, Introducing Mode Essentials, Median. 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 Mode Word Problems?
- Move on to Introducing Mode Common Errors, Working with Mode, Mode in Context, which build directly on this idea.
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