00:01
In the first question here we have this data set and we are asked to calculate the mean and standard deviation.
00:09
So if we call this variable x, the mean is given by this formula.
00:17
It's the sum of all values divided by the number in the dataset.
00:30
So that's 45 plus 49 plus 62, on and on to 54 divided by 15.
00:48
And that comes out to 49 .2.
00:53
The standard deviation is given by this formula.
01:15
So this is equal to the square root of 45 minus 49 .2 plus 49 minus 49 .2 and so on, divided by n minus 1, which is 14.
01:46
That's the square root of all of this.
01:52
Now this can be helped a lot by calculating this using software or some application.
01:58
You can do this in excel.
02:00
I have the dataset entered in excel here.
02:04
So to find the standard deviation, we type equals.
02:08
And the function we want to use is the second one here, highlighted in blue.
02:13
The s after the dot stands for a sample.
02:16
So a dataset is often considered a sample from some larger population.
02:24
And we get 16 .345.
02:27
Also, by the way, you can calculate the average or the mean using this function.
02:32
And selecting all of the data in the data set.
02:35
So we have 16 .3 approximately.
02:47
And then the next step is to interpret the mean and standard deviation.
02:50
So in the sentence it says the mean is the typical the option should probably be cost per serving for 15 high fiber cereals rated very good or good by magazine for consumers while the standard deviation is how much on average the it should be the cost per saving or the individual costs per saving, deviate from the mean.
03:18
So the last option should be the mean or average.
03:23
And then on to the next question, we are told that the mean playing time, so let's call that x the mean playing time.
03:33
Or rather let's call the random, we'll call the random variable that is the playing time x.
03:42
So the mean playing time can be mu sub x is 33.
03:49
And the standard deviation is 6.
03:59
We are asked what value is one standard deviation above the mean...