00:01
All right, so the mean score is 45, and the standard deviation is 7.
00:09
So the higher the number, the greater your level of depression, anxiety, and stress.
00:15
And we know that sylvia scored, her raw score is 51.
00:24
We want to know, based on her score, should she contact the counseling service about her levels of depression? so statistically, let's compute what her z score is, where she falls in this distribution.
00:35
In other words, let's standardize or score relative to the mean.
00:38
So you take the raw score, subtract the mean, divide by the standard deviation, and you get, this is 6 over 7, which as a decimal is slightly less than 1 is what's important.
00:54
But let's just do it for completeness, 0 .86.
01:00
Okay, so we know that on a normal distribution, we have the mean in the middle, and then 68 % of the values lie.
01:10
Within one standard deviation of the mean...