variance in 60 seconds: Measures of Dispersion

when we have numbers in a dataset, except if all the numbers are the same, these numbers are usually spread out from each other and from their center.
The variance is a statistical measure that tells us how far all the numbers in the dataset are spread out from the mean value of that dataset.
It is obtained by finding the average of the squared deviations of all data points from the mean of the data.
But what does this even mean?
Well, remember our dataset right?
Let’s use it to understand this simple definition of variance
There are 4 keywords to build on this definition
First is the mean, then the deviations from the mean, and then the squared deviations from the mean, and finally, the average of the squared deviations from the mean
So let's first find the mean of this dataset
To find the mean, we simply add all the data points together and divide by their number which is 5
This will give us a mean of 6.4
Awesome!
Now that we know what the mean is, let us understand the deviations from the mean
So because the data points are different they will be scattered around the mean
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