New
New
Year 6

Explain how to calcluate the mean of a set of data including a value of zero

I can explain how to calculate the mean of a set of data including a value of zero

New
New
Year 6

Explain how to calcluate the mean of a set of data including a value of zero

I can explain how to calculate the mean of a set of data including a value of zero

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Lesson details

Key learning points

  1. The mean value of a set of data is the total of the numbers divided by how many numbers there are.
  2. If a value in the set is zero it is still included in the calculation of the mean.

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 a collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.

Common misconception

Some pupils may think that zero values do not need to be included when dividing by how many values there are in the set of data.

Show that even if a value is zero, it is still a value in the set of data. It doesn't affect the total of the set but does need to be included in the total number of values in the set.

The context of number of pages read each night could be changed if not appropriate for the context. The numbers chosen may need a mix of mental and written calculation but are designed not to distract from the learning about mean average.
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.
48 ÷ 6 =
Correct Answer: 8
Q2.
360 ÷ 10 =
Correct Answer: 36
Q3.
432 ÷ 10 =
Correct Answer: 43.2
Q4.
45 + 34 + 24 + 19 + 29 + 67 =
Correct Answer: 218
Q5.
The mean average is calculated by finding the total of the set of data and by how many values there are.
Correct Answer: dividing
Q6.
Here are the scores from Pine class’ spelling test: 10 9 3 10 What is the mean average score?
7
Correct answer: 8
9

6 Questions

Q1.
Use the table to calculate Jacob’s mean average number of pages read. The mean average is
An image in a quiz
Correct Answer: 12
Q2.
Laura says: ‘Complete the table by working out how many pages I read on Friday.’ What is the missing value?
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10
19
Correct answer: 20
21
Q3.
Calculate the mean average of the number of pages Jacob reads over four days. The mean average is
An image in a quiz
Correct Answer: 45
Q4.
Calculate the mean average of the number of pages Sofia reads over ten days. The mean average is
An image in a quiz
Correct Answer: 44
Q5.
Look at the table. How many pages does Alex read on average?
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Between 20 and 21 pages
Correct answer: Between 21 and 22 pages
Q6.
Lucas and Laura are looking at the amount read by Sam. Lucas says Sam had read a mean average of 10 pages per day. Laura says Sam has read a mean average of 13.3 pages per day. Who is correct?
An image in a quiz
Correct answer: Lucas
Laura