Free Grade 3 Introducing Mode Techniques Quizzes
Free Grade 3 quizzes for Introducing Mode Techniques: 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing mode techniques
Identify introducing mode techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing mode techniques
Explain introducing mode techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing mode techniques
Calculate introducing mode techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing mode techniques
Compare introducing mode techniques 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 Techniques 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, 5, 7, 9, 18, find the mean, median, mode and range.[1]
- 2.For the data 1, 8, 9, 18, 19, find the mean, median, mode and range.[1]
- 3.For the data 2, 11, 11, 16, 18, find the mean, median, mode and range.[1]
- 4.For the data 7, 10, 12, 15, 16, find the mean, median, mode and range.[1]
- 5.For the data 1, 8, 10, 16, 22, 29, 36, find the mean, median, mode and range.[2]
- 6.For the data 3, 9, 17, 20, 21, 22, 38, find the mean, median, mode and range.[2]
- 7.For the data 2, 13, 15, 17, 21, 28, 30, find the mean, median, mode and range.[2]
- 8.For the data 15, 17, 26, 34, 38, 39, 39, find the mean, median, mode and range.[2]
- 9.For the data 17, 23, 32, 32, 38, 38, 41, 52, 55, find the mean, median, mode and range.[3]
- 10.For the data 5, 7, 9, 14, 16, 17, 27, 43, 51, find the mean, median, mode and range.[3]
- 11.For the data 24, 25, 36, 39, 39, 46, 46, 48, 53, find the mean, median, mode and range.[3]
- 12.For the data 3, 8, 20, 21, 33, 34, 46, 58, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.6, median 7, mode none, range 14
Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 18 − 4 = 14.
2. Mean 11, median 9, mode none, range 18
Mean = 55 ÷ 5 = 11. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 19 − 1 = 18.
3. Mean 11.6, median 11, mode 11, range 16
Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 11. Mode = most common = 11. Range = 18 − 2 = 16.
4. Mean 12, median 12, mode none, range 9
Mean = 60 ÷ 5 = 12. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 16 − 7 = 9.
5. Mean 17.43, median 16, mode none, range 35
Mean = 122 ÷ 7 = 17.43. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 36 − 1 = 35.
6. Mean 18.57, median 20, mode none, range 35
Mean = 130 ÷ 7 = 18.57. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 38 − 3 = 35.
7. Mean 18, median 17, mode none, range 28
Mean = 126 ÷ 7 = 18. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 30 − 2 = 28.
8. Mean 29.71, median 34, mode 39, range 24
Mean = 208 ÷ 7 = 29.71. Median = middle value in order = 34. Mode = most common = 39. Range = 39 − 15 = 24.
9. Mean 36.44, median 38, mode 32 and 38, range 38
Mean = 328 ÷ 9 = 36.44. Median = middle value in order = 38. Mode = most common = 32 and 38. Range = 55 − 17 = 38.
10. Mean 21, median 16, mode none, range 46
Mean = 189 ÷ 9 = 21. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 51 − 5 = 46.
11. Mean 39.56, median 39, mode 39 and 46, range 29
Mean = 356 ÷ 9 = 39.56. Median = middle value in order = 39. Mode = most common = 39 and 46. Range = 53 − 24 = 29.
12. Mean 31.33, median 33, mode none, range 56
Mean = 282 ÷ 9 = 31.33. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 59 − 3 = 56.
Worked examples
For the data 5, 6, 7, 7, 10, find the mean, median, mode and range.
- Mean = 35 ÷ 5 = 7.
- Median = middle value in order = 7.
- Mode = most common = 7.
- Range = 10 − 5 = 5.
- Answer: Mean 7, median 7, mode 7, range 5
For the data 14, 14, 16, 18, 33, 35, 35, find the mean, median, mode and range.
- Mean = 165 ÷ 7 = 23.57.
- Median = middle value in order = 18.
- Mode = most common = 14 and 35.
- Range = 35 − 14 = 21.
- Answer: Mean 23.57, median 18, mode 14 and 35, range 21
For the data 11, 21, 25, 34, 35, 38, 40, 46, 48, find the mean, median, mode and range.
- Mean = 298 ÷ 9 = 33.11.
- Median = middle value in order = 35.
- Mode = most common = no repeated value.
- Range = 48 − 11 = 37.
- Answer: Mean 33.11, median 35, mode none, range 37
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
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Mode Techniques quiz really free?
- Yes. Every quizzes 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 Essentials, Median. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Techniques?
- Move on to Introducing Mode Word Problems, Introducing Mode Common Errors, Working with Mode, Mode in Context, which build directly on this idea.
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