00:01
I use chavichf theorem here to determine how many, how much the data is between 120 .4 and 1 .20 .8.
00:08
So what chavichf's theorem says is at least 1 minus k squared, 1 minus 1 over k squared percent of the data is between the values.
00:29
So what we need to do is find how many standard deviations away these two values are.
00:35
So we'll do the mean minus the left -hand side divided by 5 .1.
00:46
And this gives us two.
00:49
And we'll do the same on the other side.
00:58
And this also gives us two.
01:00
So using the theorem, at least 1 minus 1 over k squared, k in this case is 2.
01:19
And that becomes three quarters, which is 75%.
01:26
Of the data between 120 .4 and 140.
01:41
And then next we wanna find out the bounds so that 36 % of the data is between a and b.
01:56
So we're kinda work backwards here.
01:59
So i know that 1 minus 1 over k squared is equal to, and if we convert 36 to a decimal .36...