00:01
The question says a population consists of the following n is equal to 5 score given n is equal to 5, 2 .4, 1, 7, 2.
00:14
So the first is compute the mean.
00:17
Mean will be x bar 2 plus 4 plus 1 plus 7 plus 2 divided by 5 is equal to 3 .2 and standard deviation.
00:30
Variance is equal to summation of x minus x bar whole square divided by n minus 1 so 2 minus 3 .2 whole square 2 2 minus 2 .2 whole square divided by 5 minus 1 is equal to 4 so it will be 5 .7 so standard deviation will be square root of 5 .7 that is point 2 .39.
01:06
Now coming to part b, find the z score.
01:12
So x1 is equal to 2 minus 3 .2 divided by 2 .39 minus 0 .5.
01:23
X2 is equal to 4 minus 3 .2 divided by 2 .39 is 0 .33.
01:28
X3 is equal to 1 minus 3 .2 divided by 2 .39 is 033 .x3 is equal to 1 minus 3 .2 divided by 2 .39 minus 0 .92.
01:42
X4 is equal to 7 minus 3 .2 divided by 2 .39 is equal to 1 .59 and x4 will be so x4 already have calculated x5 is 2 minus 3 .2 divided by 2 .39 is minus 0 .5.
02:06
So these are the jade score...