Free Grade 3 Range in Context Common Errors Lessons
Free Grade 3 lessons for Range in Context Common Errors: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify range in context common errors
Identify range in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain range in context common errors
Explain range in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate range in context common errors
Calculate range in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare range in context common errors
Compare range in context common errors 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 in Context Common Errors 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, 8, 8, 13, 16, find the mean, median, mode and range.[1]
- 2.For the data 5, 7, 7, 10, 13, find the mean, median, mode and range.[1]
- 3.For the data 8, 9, 11, 12, 15, find the mean, median, mode and range.[1]
- 4.For the data 8, 9, 16, 16, 17, find the mean, median, mode and range.[1]
- 5.For the data 14, 18, 23, 24, 29, 30, 38, find the mean, median, mode and range.[2]
- 6.For the data 6, 9, 14, 25, 28, 29, 36, find the mean, median, mode and range.[2]
- 7.For the data 2, 20, 20, 21, 21, 21, 40, find the mean, median, mode and range.[2]
- 8.For the data 6, 8, 29, 32, 35, 36, 37, find the mean, median, mode and range.[2]
- 9.For the data 5, 6, 8, 24, 27, 31, 34, 41, 51, find the mean, median, mode and range.[3]
- 10.For the data 1, 2, 2, 30, 34, 37, 41, 44, 60, find the mean, median, mode and range.[3]
- 11.For the data 30, 34, 37, 38, 40, 40, 43, 49, 49, find the mean, median, mode and range.[3]
- 12.For the data 4, 6, 10, 15, 25, 39, 46, 50, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.2, median 8, mode 8, range 10
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 8. Mode = most common = 8. Range = 16 − 6 = 10.
2. Mean 8.4, median 7, mode 7, range 8
Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 7. Mode = most common = 7. Range = 13 − 5 = 8.
3. Mean 11, median 11, mode none, range 7
Mean = 55 ÷ 5 = 11. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 15 − 8 = 7.
4. Mean 13.2, median 16, mode 16, range 9
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 16. Mode = most common = 16. Range = 17 − 8 = 9.
5. Mean 25.14, median 24, mode none, range 24
Mean = 176 ÷ 7 = 25.14. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 38 − 14 = 24.
6. Mean 21, median 25, mode none, range 30
Mean = 147 ÷ 7 = 21. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 36 − 6 = 30.
7. Mean 20.71, median 21, mode 21, range 38
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 21. Mode = most common = 21. Range = 40 − 2 = 38.
8. Mean 26.14, median 32, mode none, range 31
Mean = 183 ÷ 7 = 26.14. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 37 − 6 = 31.
9. Mean 25.22, median 27, mode none, range 46
Mean = 227 ÷ 9 = 25.22. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 51 − 5 = 46.
10. Mean 27.89, median 34, mode 2, range 59
Mean = 251 ÷ 9 = 27.89. Median = middle value in order = 34. Mode = most common = 2. Range = 60 − 1 = 59.
11. Mean 40, median 40, mode 40 and 49, range 19
Mean = 360 ÷ 9 = 40. Median = middle value in order = 40. Mode = most common = 40 and 49. Range = 49 − 30 = 19.
12. Mean 27.89, median 25, mode none, range 52
Mean = 251 ÷ 9 = 27.89. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 56 − 4 = 52.
Worked examples
For the data 8, 9, 14, 17, 17, find the mean, median, mode and range.
- Mean = 65 ÷ 5 = 13.
- Median = middle value in order = 14.
- Mode = most common = 17.
- Range = 17 − 8 = 9.
- Answer: Mean 13, median 14, mode 17, range 9
For the data 4, 13, 16, 29, 29, 36, 38, find the mean, median, mode and range.
- Mean = 165 ÷ 7 = 23.57.
- Median = middle value in order = 29.
- Mode = most common = 29.
- Range = 38 − 4 = 34.
- Answer: Mean 23.57, median 29, mode 29, range 34
For the data 11, 14, 19, 37, 47, 49, 50, 54, 56, find the mean, median, mode and range.
- Mean = 337 ÷ 9 = 37.44.
- Median = middle value in order = 47.
- Mode = most common = no repeated value.
- Range = 56 − 11 = 45.
- Answer: Mean 37.44, median 47, mode none, range 45
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 in Context Common Errors
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
All free formats for this concept
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 in Context Common Errors 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 Range in Context Word Problems, Range in Context Techniques, Working with Range. 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 Range in Context Common Errors?
- Move on to Introducing Range, Working with Range, which build directly on this idea.
Related resources
Stuck on Range in Context Common Errors? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor