Free Grade 3 Introducing Mode Essentials Lessons
Free Grade 3 lessons for Introducing Mode 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing mode essentials
Identify introducing mode essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing mode essentials
Explain introducing mode essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing mode essentials
Calculate introducing mode essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing mode essentials
Compare introducing mode 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 Introducing Mode 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 7, 8, 10, 19, 20, find the mean, median, mode and range.[1]
- 2.For the data 4, 4, 10, 18, 20, find the mean, median, mode and range.[1]
- 3.For the data 2, 7, 8, 15, 17, find the mean, median, mode and range.[1]
- 4.For the data 2, 6, 9, 16, 20, find the mean, median, mode and range.[1]
- 5.For the data 4, 4, 6, 20, 20, 20, 23, find the mean, median, mode and range.[2]
- 6.For the data 18, 22, 28, 35, 36, 38, 40, find the mean, median, mode and range.[2]
- 7.For the data 2, 2, 8, 8, 9, 11, 13, find the mean, median, mode and range.[2]
- 8.For the data 2, 3, 6, 9, 16, 22, 34, find the mean, median, mode and range.[2]
- 9.For the data 4, 4, 20, 34, 36, 41, 42, 47, 55, find the mean, median, mode and range.[3]
- 10.For the data 1, 3, 28, 29, 36, 38, 42, 59, 60, find the mean, median, mode and range.[3]
- 11.For the data 4, 10, 14, 40, 42, 43, 48, 52, 53, find the mean, median, mode and range.[3]
- 12.For the data 6, 8, 13, 16, 17, 17, 44, 48, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.8, median 10, mode none, range 13
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 20 − 7 = 13.
2. Mean 11.2, median 10, mode 4, range 16
Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 10. Mode = most common = 4. Range = 20 − 4 = 16.
3. Mean 9.8, median 8, mode none, range 15
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 17 − 2 = 15.
4. Mean 10.6, median 9, mode none, range 18
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 2 = 18.
5. Mean 13.86, median 20, mode 20, range 19
Mean = 97 ÷ 7 = 13.86. Median = middle value in order = 20. Mode = most common = 20. Range = 23 − 4 = 19.
6. Mean 31, median 35, mode none, range 22
Mean = 217 ÷ 7 = 31. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 40 − 18 = 22.
7. Mean 7.57, median 8, mode 2 and 8, range 11
Mean = 53 ÷ 7 = 7.57. Median = middle value in order = 8. Mode = most common = 2 and 8. Range = 13 − 2 = 11.
8. Mean 13.14, median 9, mode none, range 32
Mean = 92 ÷ 7 = 13.14. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 34 − 2 = 32.
9. Mean 31.44, median 36, mode 4, range 51
Mean = 283 ÷ 9 = 31.44. Median = middle value in order = 36. Mode = most common = 4. Range = 55 − 4 = 51.
10. Mean 32.89, median 36, mode none, range 59
Mean = 296 ÷ 9 = 32.89. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 60 − 1 = 59.
11. Mean 34, median 42, mode none, range 49
Mean = 306 ÷ 9 = 34. Median = middle value in order = 42. Mode = most common = no repeated value. Range = 53 − 4 = 49.
12. Mean 25.33, median 17, mode 17, range 53
Mean = 228 ÷ 9 = 25.33. Median = middle value in order = 17. Mode = most common = 17. Range = 59 − 6 = 53.
Worked examples
For the data 4, 8, 17, 17, 17, find the mean, median, mode and range.
- Mean = 63 ÷ 5 = 12.6.
- Median = middle value in order = 17.
- Mode = most common = 17.
- Range = 17 − 4 = 13.
- Answer: Mean 12.6, median 17, mode 17, range 13
For the data 5, 17, 21, 24, 29, 32, 39, find the mean, median, mode and range.
- Mean = 167 ÷ 7 = 23.86.
- Median = middle value in order = 24.
- Mode = most common = no repeated value.
- Range = 39 − 5 = 34.
- Answer: Mean 23.86, median 24, mode none, range 34
For the data 3, 8, 14, 16, 36, 38, 39, 54, 59, find the mean, median, mode and range.
- Mean = 267 ÷ 9 = 29.67.
- Median = middle value in order = 36.
- Mode = most common = no repeated value.
- Range = 59 − 3 = 56.
- Answer: Mean 29.67, median 36, mode none, range 56
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 Essentials 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 Median. 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 Introducing Mode Essentials?
- Move on to Introducing Mode Techniques, Introducing Mode Word Problems, Introducing Mode Common Errors, Working with Mode, which build directly on this idea.
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