Steply

Work out the mean.

Step by step, with the reason for every step · GCSE Maths Foundation Paper 3 · GCSE Maths

Step by step

The question

Question: find the mean of 2, 0, 3, 1, 4, 2, 2 and 6.

Mean of 2, 0, 3, 1, 4, 2, 2, 6

The mean is the fair share.

We add them all, then share the total equally.

mean: add them all, then ÷ how many

1 Add them all

We add all the numbers, from left to right.

2 + 0 + 3 + 1 + 4 + 2 + 2 + 6

So the total is 20.

total = 20

2 Count them

Now we count the numbers.

There are 8.

how many = 8

3 Share equally

We share the total equally: 20 divided by 8.

mean = 208

20 divided by 8 is 2.5.

mean = 2.5

4 Check

Let's check: if every number were 2.5, 8 of them would make 2.5 times 8.

That is 20, the total.

So it is right!

2.5 × 8 = 20

Let's look back.

First: add them all.

Then: count them.

Then: share equally.

Last: check.

Answer
mean = 2.5

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