### GCSE Maths Revision: Mean, Median, Mode & Range

#### 4th April 2017

GCSE Maths Revision

Mean, Median, Mode & Range - the key facts for the new syllabus!

Revising for GCSE Maths can see overwhelming at times. For this reason, we have broken down the key information you need to know into digestible chunks so that revising is no longer a chore. So let’s take a look at the following terms, and figure out exactly what they mean.

The mean - this is the average of a set of numbers. In order to find the average/mean, you have to add together all the numbers in the set, and then divide that number by the total number of numbers in the set. Let’s give it a try.

Find the mean of:

2, 8, 25, 2, 2, 14, 28, 19 and 5.

We add together all the numbers which adds up to 105.

We then divide 101 by 9 - because there are 9 numbers in the set. This gives us: 11.6.

Therefore, the mean of this set of numbers is 11.6.

The mode - this is the easiest of them all. Firstly, put the numbers in chronological order. So let’s use the same set of numbers as above. This gives us:

2, 2, 2, 5, 8, 14,19, 25 and 28.

To identify the mode, you look to see which number occurs most often - so the mode is 2.

The median - this is the middle number in a set. So firstly you have to put them in chronological order:

2, 2, 2, 5, 8, 14,19, 25, 28.

There are 9 numbers altogether so the middle number will be the 5th.

This means that the median is number 8.

The range - this is the difference between the lowest and highest values in the set. You calculate the difference by taking the lowest number away from the highest. In this case that leaves us with the sum: 28-2.

The range is therefore  26.

To check you’ve understood everything, have a listen to our GCSE Maths song all to do with the mode, median, mean and range. You can’t go wrong!

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