Free Grade 3 Working with Introducing Range Essentials Lessons
Free Grade 3 lessons 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
20 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 1, 2, 3, 8, 16, find the mean, median, mode and range.[1]
- 2.For the data 1, 1, 5, 7, 13, find the mean, median, mode and range.[1]
- 3.For the data 4, 9, 10, 10, 18, find the mean, median, mode and range.[1]
- 4.For the data 1, 8, 11, 13, 20, find the mean, median, mode and range.[1]
- 5.For the data 1, 4, 7, 18, 20, 27, 35, find the mean, median, mode and range.[2]
- 6.For the data 8, 11, 12, 20, 26, 33, 33, find the mean, median, mode and range.[2]
- 7.For the data 11, 18, 18, 25, 29, 36, 36, find the mean, median, mode and range.[2]
- 8.For the data 3, 5, 8, 10, 16, 31, 32, find the mean, median, mode and range.[2]
- 9.For the data 7, 16, 23, 29, 32, 45, 54, 55, 59, find the mean, median, mode and range.[3]
- 10.For the data 15, 18, 18, 20, 32, 43, 45, 51, 56, find the mean, median, mode and range.[3]
- 11.For the data 20, 22, 28, 29, 36, 39, 39, 40, 43, find the mean, median, mode and range.[3]
- 12.For the data 3, 13, 15, 16, 20, 37, 38, 45, 54, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 6, median 3, mode none, range 15
Mean = 30 ÷ 5 = 6. Median = middle value in order = 3. Mode = most common = no repeated value. Range = 16 − 1 = 15.
2. Mean 5.4, median 5, mode 1, range 12
Mean = 27 ÷ 5 = 5.4. Median = middle value in order = 5. Mode = most common = 1. Range = 13 − 1 = 12.
3. Mean 10.2, median 10, mode 10, range 14
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 10. Mode = most common = 10. Range = 18 − 4 = 14.
4. Mean 10.6, median 11, mode none, range 19
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 20 − 1 = 19.
5. Mean 16, median 18, mode none, range 34
Mean = 112 ÷ 7 = 16. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 35 − 1 = 34.
6. Mean 20.43, median 20, mode 33, range 25
Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 20. Mode = most common = 33. Range = 33 − 8 = 25.
7. Mean 24.71, median 25, mode 18 and 36, range 25
Mean = 173 ÷ 7 = 24.71. Median = middle value in order = 25. Mode = most common = 18 and 36. Range = 36 − 11 = 25.
8. Mean 15, median 10, mode none, range 29
Mean = 105 ÷ 7 = 15. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 32 − 3 = 29.
9. Mean 35.56, median 32, mode none, range 52
Mean = 320 ÷ 9 = 35.56. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 59 − 7 = 52.
10. Mean 33.11, median 32, mode 18, range 41
Mean = 298 ÷ 9 = 33.11. Median = middle value in order = 32. Mode = most common = 18. Range = 56 − 15 = 41.
11. Mean 32.89, median 36, mode 39, range 23
Mean = 296 ÷ 9 = 32.89. Median = middle value in order = 36. Mode = most common = 39. Range = 43 − 20 = 23.
12. Mean 26.78, median 20, mode none, range 51
Mean = 241 ÷ 9 = 26.78. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 54 − 3 = 51.
Worked examples
For the data 1, 4, 6, 12, 13, find the mean, median, mode and range.
- Mean = 36 ÷ 5 = 7.2.
- Median = middle value in order = 6.
- Mode = most common = no repeated value.
- Range = 13 − 1 = 12.
- Answer: Mean 7.2, median 6, mode none, range 12
For the data 8, 18, 25, 35, 37, 38, 38, find the mean, median, mode and range.
- Mean = 199 ÷ 7 = 28.43.
- Median = middle value in order = 35.
- Mode = most common = 38.
- Range = 38 − 8 = 30.
- Answer: Mean 28.43, median 35, mode 38, range 30
For the data 4, 6, 13, 18, 21, 30, 54, 54, 59, find the mean, median, mode and range.
- Mean = 259 ÷ 9 = 28.78.
- Median = middle value in order = 21.
- Mode = most common = 54.
- Range = 59 − 4 = 55.
- Answer: Mean 28.78, median 21, mode 54, 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
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- 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 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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