New
New
Year 6

Explain the relationship between the mean and sharing equally

I can explain the relationship between the mean and sharing equally.

New
New
Year 6

Explain the relationship between the mean and sharing equally

I can explain the relationship between the mean and sharing equally.

Lesson details

Key learning points

  1. The mean is the size of each part when a quantity is shared equally.
  2. The mean value of a set of data is the total of the numbers divided by how many numbers there are.

Keywords

  • 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 misconception

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.

Be clear about what the mean average value represents and how it might be useful in the contexts presented.

The lesson starts with data that can be added and divided mentally so that pupils can focus on what is happening to the data. Encourage them to notice and describe that the total number in the set stays the same but they are re-distributed. The mean average can be a fraction or decimal.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
5 + 3 + 5 + 7 =
Correct Answer: 20
Q2.
Question: 8 + 8 + 6 + 2 =
Correct Answer: 24
Q3.
= 6 + 6 + 6
Correct Answer: 18
Q4.
24 ÷ 4 =
Correct Answer: 6
Q5.
= 35÷ 5
Correct Answer: 7
Q6.
36 ÷ 6 =
Correct Answer: 6

6 Questions

Q1.
Look at the amount of cards. Who now has fewer cards after they have been re-shared?
An image in a quiz
Laura
Lucas
Correct answer: Jacob
Sam
Q2.
Look at the table. How many cards will the children have each if they share them equally? Lucas has started to work this out for you. 12 + 8 + 8 + 4 = 32
An image in a quiz
6
Correct answer: 8
10
Q3.
Laura wants to reshare the cards so that the children all have an equal amount. Calculate the equal share.
An image in a quiz
Correct answer: 6
8
10
Q4.
The is calculated by finding the total of the set of data and dividing by how many values there are.
Correct Answer: mean average, mean
Q5.
Look at the table. Match the shape that represent the parts of the data.
An image in a quiz
Correct Answer:The set of data , rectangle

rectangle

Correct Answer:The number of values,triangle

triangle

Correct Answer:The mean average , circle

circle

Q6.
Look at the table. What is the mean average of the spelling test scores for Pine class?
An image in a quiz
Correct Answer: 7