Year 6 - Maths
Explain the relationship between the mean and sharing equally
Mean average
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will learn how to calculate the mean of a set of data and use the mean to make comparisons between two sets of information where appropriate.
Lesson Summary
You will learn to explain the relationship between the mean and sharing equally.
Key Notes
- The mean is the size of each part when a quantity is shared equally.
- The mean value of a set of data is the total of the numbers divided by how many numbers there are.
Vocabulary To Learn
- Mean average: The mean average is a single number expressing the typical value in a set of data. It is calculated by finding the total of the set of data and dividing by how many values there are.
- Set of data: A set of data is collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.
Common Mistakes To Avoid
- Understanding that the mean average is a way of creating one value to represent a set of data. It is calculated by sharing equally but doesn't always mean that a set is being shared.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The mean is the size of each part when a quantity is shared equally. The mean value of a set of data is the total of the numbers divided by how many numbers there are.
2. Use this key word in a maths sentence and explain it clearly. 'Mean average'
The mean average is a single number expressing the typical value in a set of data. It is calculated by finding the total of the set of data and dividing by how many values there are. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Understanding that the mean average is a way of creating one value to represent a set of data. It is calculated by sharing equally but doesn't always mean that a set is being shared. Correction: Be clear about what the mean average value represents and how it might be useful in the contexts presented.
More Lessons In This Unit
- Explain how the mean changes when the total quantity or number of values changes Study Guide
- Explain how to calcluate the mean of a set of data including a value of zero Study Guide
- Explain how to use the mean to make comparisons between two sets of data Study Guide
- Explain why the mean is useful and when it is not appropriate Study Guide
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