Free Grade 3 Introducing Mode Word Problems Lessons
Free Grade 3 lessons 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
15 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 1, 7, 10, 11, 15, find the mean, median, mode and range.[1]
- 2.For the data 1, 5, 6, 14, 18, find the mean, median, mode and range.[1]
- 3.For the data 6, 6, 10, 10, 11, find the mean, median, mode and range.[1]
- 4.For the data 3, 7, 8, 10, 20, find the mean, median, mode and range.[1]
- 5.For the data 8, 11, 20, 22, 29, 29, 35, find the mean, median, mode and range.[2]
- 6.For the data 5, 10, 19, 22, 23, 25, 29, find the mean, median, mode and range.[2]
- 7.For the data 2, 5, 15, 31, 33, 37, 39, find the mean, median, mode and range.[2]
- 8.For the data 1, 9, 11, 16, 27, 32, 39, find the mean, median, mode and range.[2]
- 9.For the data 12, 24, 32, 48, 50, 52, 56, 57, 59, find the mean, median, mode and range.[3]
- 10.For the data 4, 5, 23, 35, 36, 41, 45, 47, 50, find the mean, median, mode and range.[3]
- 11.For the data 12, 12, 15, 15, 24, 29, 42, 45, 46, find the mean, median, mode and range.[3]
- 12.For the data 2, 20, 22, 33, 34, 43, 43, 48, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.8, median 10, mode none, range 14
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 15 − 1 = 14.
2. Mean 8.8, median 6, mode none, range 17
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 18 − 1 = 17.
3. Mean 8.6, median 10, mode 6 and 10, range 5
Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 10. Mode = most common = 6 and 10. Range = 11 − 6 = 5.
4. Mean 9.6, median 8, mode none, range 17
Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 20 − 3 = 17.
5. Mean 22, median 22, mode 29, range 27
Mean = 154 ÷ 7 = 22. Median = middle value in order = 22. Mode = most common = 29. Range = 35 − 8 = 27.
6. Mean 19, median 22, mode none, range 24
Mean = 133 ÷ 7 = 19. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 29 − 5 = 24.
7. Mean 23.14, median 31, mode none, range 37
Mean = 162 ÷ 7 = 23.14. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 39 − 2 = 37.
8. Mean 19.29, median 16, mode none, range 38
Mean = 135 ÷ 7 = 19.29. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 39 − 1 = 38.
9. Mean 43.33, median 50, mode none, range 47
Mean = 390 ÷ 9 = 43.33. Median = middle value in order = 50. Mode = most common = no repeated value. Range = 59 − 12 = 47.
10. Mean 31.78, median 36, mode none, range 46
Mean = 286 ÷ 9 = 31.78. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 50 − 4 = 46.
11. Mean 26.67, median 24, mode 12 and 15, range 34
Mean = 240 ÷ 9 = 26.67. Median = middle value in order = 24. Mode = most common = 12 and 15. Range = 46 − 12 = 34.
12. Mean 33.56, median 34, mode 43, range 55
Mean = 302 ÷ 9 = 33.56. Median = middle value in order = 34. Mode = most common = 43. Range = 57 − 2 = 55.
Worked examples
For the data 3, 6, 11, 12, 18, find the mean, median, mode and range.
- Mean = 50 ÷ 5 = 10.
- Median = middle value in order = 11.
- Mode = most common = no repeated value.
- Range = 18 − 3 = 15.
- Answer: Mean 10, median 11, mode none, range 15
For the data 4, 8, 16, 16, 34, 40, 40, find the mean, median, mode and range.
- Mean = 158 ÷ 7 = 22.57.
- Median = middle value in order = 16.
- Mode = most common = 16 and 40.
- Range = 40 − 4 = 36.
- Answer: Mean 22.57, median 16, mode 16 and 40, range 36
For the data 12, 14, 24, 29, 30, 43, 45, 48, 54, find the mean, median, mode and range.
- Mean = 299 ÷ 9 = 33.22.
- Median = middle value in order = 30.
- Mode = most common = no repeated value.
- Range = 54 − 12 = 42.
- Answer: Mean 33.22, median 30, mode none, range 42
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 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 Mode Techniques, Introducing Mode Essentials, Median. 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 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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