Free Grade 3 Range Flashcards
Free Grade 3 flashcards for Range: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify range
Identify range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain range
Explain range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate range
Calculate range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare range
Compare range 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 Range 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 2, 4, 5, 5, 17, find the mean, median, mode and range.[1]
- 2.For the data 4, 8, 9, 9, 14, find the mean, median, mode and range.[1]
- 3.For the data 3, 3, 6, 8, 10, find the mean, median, mode and range.[1]
- 4.For the data 8, 11, 15, 19, 19, find the mean, median, mode and range.[1]
- 5.For the data 10, 14, 18, 19, 19, 29, 31, find the mean, median, mode and range.[2]
- 6.For the data 5, 11, 23, 23, 35, 37, 38, find the mean, median, mode and range.[2]
- 7.For the data 1, 6, 7, 22, 26, 37, 39, find the mean, median, mode and range.[2]
- 8.For the data 3, 9, 25, 27, 28, 37, 38, find the mean, median, mode and range.[2]
- 9.For the data 7, 13, 17, 32, 39, 45, 47, 51, 56, find the mean, median, mode and range.[3]
- 10.For the data 18, 21, 29, 38, 44, 53, 53, 57, 60, find the mean, median, mode and range.[3]
- 11.For the data 1, 10, 16, 18, 21, 38, 40, 51, 57, find the mean, median, mode and range.[3]
- 12.For the data 17, 28, 30, 37, 37, 44, 46, 48, 51, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 6.6, median 5, mode 5, range 15
Mean = 33 ÷ 5 = 6.6. Median = middle value in order = 5. Mode = most common = 5. Range = 17 − 2 = 15.
2. Mean 8.8, median 9, mode 9, range 10
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 9. Mode = most common = 9. Range = 14 − 4 = 10.
3. Mean 6, median 6, mode 3, range 7
Mean = 30 ÷ 5 = 6. Median = middle value in order = 6. Mode = most common = 3. Range = 10 − 3 = 7.
4. Mean 14.4, median 15, mode 19, range 11
Mean = 72 ÷ 5 = 14.4. Median = middle value in order = 15. Mode = most common = 19. Range = 19 − 8 = 11.
5. Mean 20, median 19, mode 19, range 21
Mean = 140 ÷ 7 = 20. Median = middle value in order = 19. Mode = most common = 19. Range = 31 − 10 = 21.
6. Mean 24.57, median 23, mode 23, range 33
Mean = 172 ÷ 7 = 24.57. Median = middle value in order = 23. Mode = most common = 23. Range = 38 − 5 = 33.
7. Mean 19.71, median 22, mode none, range 38
Mean = 138 ÷ 7 = 19.71. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 39 − 1 = 38.
8. Mean 23.86, median 27, mode none, range 35
Mean = 167 ÷ 7 = 23.86. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 38 − 3 = 35.
9. Mean 34.11, median 39, mode none, range 49
Mean = 307 ÷ 9 = 34.11. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 56 − 7 = 49.
10. Mean 41.44, median 44, mode 53, range 42
Mean = 373 ÷ 9 = 41.44. Median = middle value in order = 44. Mode = most common = 53. Range = 60 − 18 = 42.
11. Mean 28, median 21, mode none, range 56
Mean = 252 ÷ 9 = 28. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 57 − 1 = 56.
12. Mean 37.56, median 37, mode 37, range 34
Mean = 338 ÷ 9 = 37.56. Median = middle value in order = 37. Mode = most common = 37. Range = 51 − 17 = 34.
Worked examples
For the data 9, 10, 12, 14, 20, find the mean, median, mode and range.
- Mean = 65 ÷ 5 = 13.
- Median = middle value in order = 12.
- Mode = most common = no repeated value.
- Range = 20 − 9 = 11.
- Answer: Mean 13, median 12, mode none, range 11
For the data 1, 8, 9, 11, 12, 17, 23, find the mean, median, mode and range.
- Mean = 81 ÷ 7 = 11.57.
- Median = middle value in order = 11.
- Mode = most common = no repeated value.
- Range = 23 − 1 = 22.
- Answer: Mean 11.57, median 11, mode none, range 22
For the data 2, 8, 10, 17, 21, 44, 49, 53, 57, find the mean, median, mode and range.
- Mean = 261 ÷ 9 = 29.
- Median = middle value in order = 21.
- Mode = most common = no repeated value.
- Range = 57 − 2 = 55.
- Answer: Mean 29, median 21, mode none, range 55
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.
Every free resource for Range
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
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Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Range flashcards really free?
- Yes. Every flashcards 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 Mode, Median, Measurement. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Range?
- Move on to Averages from Tables, Data Presentation, Data Collection, which build directly on this idea.
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