00:01
All right, so here the question is we have been provided a data in this case and the data it is 1 .53, 1 .50, 1 .37, 1 .51, 1 .51, 1 .55, 1 .42, 1 .41 and 1 .48.
00:24
Right.
00:25
Now, the first part of the question here is to compute the range, variance, mean, and standard.
00:31
Deviation right now the range of a data this is equal to the maximum value in the data set minus the minimum value right so if we analyze the given data the maximum value here is 1 .55 and the minimum value is 1 .37 so our range is 0 .18 right now next here is to compute the variance mean and standard deviation.
01:04
So we start with the mean.
01:05
So the mean of this data, this will be equal to sum of all observations in the data divided by total number of observations.
01:14
Now, in this case, the total number of observations is 8 and this sum is equal to.
01:20
So when we calculate this, this will be equal to 1 .47, right? that is the mean of the data.
01:28
The next is to compute the variance, right? now, variance is equal to sum of xi minus x bar, that is the mean whole square divided by n minus 1.
01:43
Right so that is equal to 1 .53 minus 1 .47 whole square plus 1 .50 minus 1 .47 whole square plus up to the last value here which is 1 .48 minus 1 .47 whole square divided by 8 minus 1 .1 minus 1 .1 .1...