# Mean, Median & Mode

## Mean/Median/Mode

Mean, median and mode are different types of averages that we can calculate from a set of numbers. Some of these averages may be more
appropriate in certain cases than others.
### Mean

Mean is probably the average we tend to use most as it takes into account all the numbers in the set of data. It can be calculated quite easily but
depending on how many numbers you have, you may require a calculator. Look at the example to learn how to calculate the mean of a set of
numbers.

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Example
Calculate the mean of the following number sequence:
1,3,7,8,8,9,12,17,21
To find the mean, we have to divide the sum of all numbers by the number of numbers.
1+3+7+8+8+9+12+17+21=86
86÷9=9.56 (3sf)
The mean value of any set of numbers can be found by using this method.

### Median

The median is another type of average. It finds the middle values of a set of numbers but does not completely consider all the numbers.
We often use the median to create box and whiskers and for general use instead of mean. However, usually we tend to use the mean as
it gives us a better average. The mean is calculated as follows.
Example
Calculate the median of the following number sequence:
1,3,7,8,8,9,12,17,21
To find the median, we have to always cross out the two outer numbers until we get to the middle number.
1 , 3 , 7 , 8 , 8 , 9 , 12 , 17 , 21
We found out that 8 is the median. If there are two number in the middle, you have to find the number
between these two numbers (for example, if 8 and 10 are remaining, the median is 9).

### Mode

Mode is completely different to median and mean and we do not tend to use it often as it is only appropriate in few situations. It involves
finding the most common number in a number sequence. This is how it works.
Example
Calculate the mode of the following number sequence:
1,3,7,8,8,9,12,17,21
To find the mode we have to simplify find the most common number in the number sequence.
1,3,7,8,8,9,12,17,21
Since 8 appears twice it is the mode. Sometimes, there may not be a mode as no number appears more than once.

Organising Data
Next you should try working with stem & leaf plots. If you would rather select another topics, visit our library. Please share this page if you
like it or found it helpful!

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Presentation

Chapter 23.1: Learning Outcomes
Students will learn how to find the mean from a set of data!
Students will learn how to find the median from a set of data!
Students will learn how to find the mode from a set of data!

## VIDEO LESSON:

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