Free Grade 3 What is Working with Introducing Range Common Errors Lesson Plans
Free Grade 3 lesson plans for What is Working with Introducing Range 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify what is working with introducing range common errors
Identify what is working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain what is working with introducing range common errors
Explain what is working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate what is working with introducing range common errors
Calculate what is working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare what is working with introducing range common errors
Compare what is working with introducing range 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 What is Working with Introducing Range 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 4, 4, 9, 9, 14, find the mean, median, mode and range.[1]
- 2.For the data 1, 8, 10, 13, 17, find the mean, median, mode and range.[1]
- 3.For the data 1, 7, 11, 17, 18, find the mean, median, mode and range.[1]
- 4.For the data 1, 5, 8, 13, 15, find the mean, median, mode and range.[1]
- 5.For the data 2, 18, 27, 28, 30, 33, 35, find the mean, median, mode and range.[2]
- 6.For the data 9, 15, 16, 18, 23, 28, 40, find the mean, median, mode and range.[2]
- 7.For the data 4, 9, 11, 20, 24, 28, 35, find the mean, median, mode and range.[2]
- 8.For the data 3, 7, 9, 14, 15, 18, 38, find the mean, median, mode and range.[2]
- 9.For the data 2, 2, 8, 10, 11, 28, 44, 48, 49, find the mean, median, mode and range.[3]
- 10.For the data 13, 22, 38, 38, 41, 44, 46, 47, 51, find the mean, median, mode and range.[3]
- 11.For the data 7, 12, 15, 27, 35, 40, 41, 50, 59, find the mean, median, mode and range.[3]
- 12.For the data 8, 11, 23, 32, 34, 48, 56, 59, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8, median 9, mode 4 and 9, range 10
Mean = 40 ÷ 5 = 8. Median = middle value in order = 9. Mode = most common = 4 and 9. Range = 14 − 4 = 10.
2. Mean 9.8, median 10, mode none, range 16
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 17 − 1 = 16.
3. Mean 10.8, median 11, mode none, range 17
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 18 − 1 = 17.
4. Mean 8.4, median 8, mode none, range 14
Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 15 − 1 = 14.
5. Mean 24.71, median 28, mode none, range 33
Mean = 173 ÷ 7 = 24.71. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 35 − 2 = 33.
6. Mean 21.29, median 18, mode none, range 31
Mean = 149 ÷ 7 = 21.29. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 40 − 9 = 31.
7. Mean 18.71, median 20, mode none, range 31
Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 35 − 4 = 31.
8. Mean 14.86, median 14, mode none, range 35
Mean = 104 ÷ 7 = 14.86. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 38 − 3 = 35.
9. Mean 22.44, median 11, mode 2, range 47
Mean = 202 ÷ 9 = 22.44. Median = middle value in order = 11. Mode = most common = 2. Range = 49 − 2 = 47.
10. Mean 37.78, median 41, mode 38, range 38
Mean = 340 ÷ 9 = 37.78. Median = middle value in order = 41. Mode = most common = 38. Range = 51 − 13 = 38.
11. Mean 31.78, median 35, mode none, range 52
Mean = 286 ÷ 9 = 31.78. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 59 − 7 = 52.
12. Mean 36.78, median 34, mode none, range 52
Mean = 331 ÷ 9 = 36.78. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 60 − 8 = 52.
Worked examples
For the data 9, 12, 13, 15, 16, find the mean, median, mode and range.
- Mean = 65 ÷ 5 = 13.
- Median = middle value in order = 13.
- Mode = most common = no repeated value.
- Range = 16 − 9 = 7.
- Answer: Mean 13, median 13, mode none, range 7
For the data 9, 11, 27, 31, 31, 34, 36, find the mean, median, mode and range.
- Mean = 179 ÷ 7 = 25.57.
- Median = middle value in order = 31.
- Mode = most common = 31.
- Range = 36 − 9 = 27.
- Answer: Mean 25.57, median 31, mode 31, range 27
For the data 20, 25, 30, 31, 35, 36, 44, 45, 52, find the mean, median, mode and range.
- Mean = 318 ÷ 9 = 35.33.
- Median = middle value in order = 35.
- Mode = most common = no repeated value.
- Range = 52 − 20 = 32.
- Answer: Mean 35.33, median 35, mode none, range 32
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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- Start with Rules and Methods in Introducing Range Common Errors. Each one has its own free lesson, worksheet and quiz.
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