00:01
The governor of california wants to give all state employees a raise of $85 per month.
00:06
How will that affect the mean and standard deviation of their salaries? so let's start with the mean.
00:12
I'm going to plot out a graph here.
00:16
I'm just going to make it look like this, a little bit skewed.
00:20
And we have the mean there.
00:24
What would happen if i took every single data point and added 85 to it? so say here moves 85, here moves 85, and so on.
00:35
All of these move 85.
00:38
Well, the new graph of their salaries would look like this.
00:43
Same shape, but it's shifted.
00:46
And the mean shifts with it by the same amount.
00:53
So if you add the same value to every single piece of data, the mean also increases by 85.
01:04
If we look at the formula for the mean, we can see why.
01:07
So to get the mean, you take each data point, you add them all up, you divide by the number of pieces of data...