00:01
For this problem, to begin, we can see that the range for the eastern dataset we find by taking the maximum value minus the minimum value.
00:09
I've sorted the data ahead of time here, so we can see the maximum is 37 ,741.
00:16
Still too many sevens.
00:20
Then we subtract 20966, 20 ,966, for an eastern range of 16 ,775.
00:32
We have that the western range is going to be 101 ,510 minus 54 ,339, for a result of 47 ,171.
00:45
Now, for finding the variance, s squared, we take the sum of the difference between each measurement and the mean value for a dataset squared, divided by the number of measurements minus one.
01:05
So we'll need to find the mean values for the two datasets.
01:10
For instance, for e bar, the mean value of the eastern dataset, we take the sum of all of the values in the eastern dataset, then we divide that by the number of values.
01:19
So adding those all together, we have the sum of the values for the eastern states, 183 ,684, we divide that by six to get a mean value of 30 ,614.
01:34
Now that we have e bar, we can find our variance for the eastern states by taking each one of the eastern state values, subtracting the mean value from each.
01:47
So these are just the differences, then we want to square those numbers, add all of them together, take that number and divide it by five, then take the square root...