Free Grade 3 Working with Introducing Range Essentials Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Range Essentials: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing range essentials
Identify working with introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range essentials
Explain working with introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range essentials
Calculate working with introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range essentials
Compare working with introducing range essentials 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 Working with Introducing Range Essentials 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, 4, 14, 20, 20, find the mean, median, mode and range.[1]
- 2.For the data 2, 3, 17, 17, 18, find the mean, median, mode and range.[1]
- 3.For the data 2, 5, 10, 14, 14, find the mean, median, mode and range.[1]
- 4.For the data 10, 15, 16, 18, 20, find the mean, median, mode and range.[1]
- 5.For the data 1, 1, 3, 32, 36, 37, 38, find the mean, median, mode and range.[2]
- 6.For the data 1, 2, 19, 23, 39, 39, 40, find the mean, median, mode and range.[2]
- 7.For the data 7, 13, 21, 25, 30, 33, 39, find the mean, median, mode and range.[2]
- 8.For the data 7, 11, 17, 17, 25, 27, 30, find the mean, median, mode and range.[2]
- 9.For the data 14, 18, 24, 34, 38, 42, 43, 45, 58, find the mean, median, mode and range.[3]
- 10.For the data 15, 16, 23, 31, 37, 41, 47, 55, 59, find the mean, median, mode and range.[3]
- 11.For the data 4, 7, 15, 15, 20, 34, 51, 52, 56, find the mean, median, mode and range.[3]
- 12.For the data 6, 18, 28, 36, 40, 42, 44, 46, 51, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.4, median 14, mode 4 and 20, range 16
Mean = 62 ÷ 5 = 12.4. Median = middle value in order = 14. Mode = most common = 4 and 20. Range = 20 − 4 = 16.
2. Mean 11.4, median 17, mode 17, range 16
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 17. Mode = most common = 17. Range = 18 − 2 = 16.
3. Mean 9, median 10, mode 14, range 12
Mean = 45 ÷ 5 = 9. Median = middle value in order = 10. Mode = most common = 14. Range = 14 − 2 = 12.
4. Mean 15.8, median 16, mode none, range 10
Mean = 79 ÷ 5 = 15.8. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 20 − 10 = 10.
5. Mean 21.14, median 32, mode 1, range 37
Mean = 148 ÷ 7 = 21.14. Median = middle value in order = 32. Mode = most common = 1. Range = 38 − 1 = 37.
6. Mean 23.29, median 23, mode 39, range 39
Mean = 163 ÷ 7 = 23.29. Median = middle value in order = 23. Mode = most common = 39. Range = 40 − 1 = 39.
7. Mean 24, median 25, mode none, range 32
Mean = 168 ÷ 7 = 24. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 39 − 7 = 32.
8. Mean 19.14, median 17, mode 17, range 23
Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 17. Mode = most common = 17. Range = 30 − 7 = 23.
9. Mean 35.11, median 38, mode none, range 44
Mean = 316 ÷ 9 = 35.11. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 58 − 14 = 44.
10. Mean 36, median 37, mode none, range 44
Mean = 324 ÷ 9 = 36. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 59 − 15 = 44.
11. Mean 28.22, median 20, mode 15, range 52
Mean = 254 ÷ 9 = 28.22. Median = middle value in order = 20. Mode = most common = 15. Range = 56 − 4 = 52.
12. Mean 34.56, median 40, mode none, range 45
Mean = 311 ÷ 9 = 34.56. Median = middle value in order = 40. Mode = most common = no repeated value. Range = 51 − 6 = 45.
Worked examples
For the data 4, 4, 7, 14, 18, find the mean, median, mode and range.
- Mean = 47 ÷ 5 = 9.4.
- Median = middle value in order = 7.
- Mode = most common = 4.
- Range = 18 − 4 = 14.
- Answer: Mean 9.4, median 7, mode 4, range 14
For the data 2, 8, 10, 12, 22, 24, 35, find the mean, median, mode and range.
- Mean = 113 ÷ 7 = 16.14.
- Median = middle value in order = 12.
- Mode = most common = no repeated value.
- Range = 35 − 2 = 33.
- Answer: Mean 16.14, median 12, mode none, range 33
For the data 9, 10, 18, 20, 20, 35, 37, 42, 54, find the mean, median, mode and range.
- Mean = 245 ÷ 9 = 27.22.
- Median = middle value in order = 20.
- Mode = most common = 20.
- Range = 54 − 9 = 45.
- Answer: Mean 27.22, median 20, mode 20, 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
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Frequently asked
- Is this Grade 3 Working with Introducing Range Essentials lesson plan really free?
- Yes. Every lesson plans 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 Rules and Methods in Introducing Range Essentials, Key Vocabulary of Introducing Range Essentials, Mode. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Working with Introducing Range Essentials?
- Move on to Introducing Range Essentials in Examinations, Introducing Range Techniques, Introducing Range Word Problems, Introducing Range Common Errors, which build directly on this idea.
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