00:01
Hey there, welcome to numerate.
00:03
So we are giving a set of values over here in our data and we're asked the proportion of the values that is within 1, 2, and 3 standard deviations.
00:15
So first of all, we have to find a mean of the sample here.
00:19
So the mean of a sample is the sum.
00:21
So we add all of them together.
00:24
We give some of 30 divided by our sample size, which is 10.
00:28
30 divided by 10 will equal 3.
00:30
So our mean is 3.
00:33
And this is a sample, so we're going to use sample standard derivative deviation.
00:37
So s is a sample standard deviation.
00:42
So it'll be the square root of the sum of squares.
00:44
So it's going to be the sum of x minus 3 squared divided by n minus 1.
00:56
So it's going to be 10 minus 1.
01:01
And this will give us a standard deviation of around 1.
01:10
25.
01:14
Okay.
01:16
And now let's jump into our questions here.
01:18
So i'm going to label it as a, b, and c.
01:20
So a, as for one standard deviation.
01:26
So one standard deviation is just one of them.
01:28
So it's 1 .25.
01:31
Okay.
01:32
So we're going to take our mean and minus 1 .25 and plus 1 .25.
01:38
And that is going to be our range.
01:41
Okay.
01:42
So what we're going to do is take our 3.
01:47
We're going to plus 1 .25.
01:48
And that is going to be our range.
01:48
Okay.
01:48
So what we're going to do is take our 3.
01:48
1 .25 and we're going to minus 1 .25...