00:01
Hello student, in the given question we have to solve the problem.
00:04
In the first step we have to find the mean.
00:10
So mean is equals to 15 plus 9 plus 7 plus 12 plus 12 plus 14 plus 20 plus 18 plus 13 plus 12 plus 11 plus 14 plus 28 upon 13 which is equals to 14.
00:35
Therefore mean is equals to 1440.
00:42
Now second we have to find the standard deviation.
00:46
So to find out the standard deviation for the sample standard we can use the formula for the sample standard deviation which is s is equals to square root of summation of x minus x bar bracket square upon n minus 1.
01:10
So after plugging all the values in this formula we get square root of 15 minus 14 bracket square plus 9 minus 14 bracket square plus up to the last value which is 28 minus 14 bracket square upon 13 minus 1.
01:41
So s is equals to square root of 276 upon 12.
01:47
Therefore s is equals to 2 .8308.
01:52
Therefore sample standard deviation is equals to sample standard deviation is equals to s is equals to 2 .8308.
02:05
Now in the third step we have to find the five number summary.
02:14
So five number summary is five number summary.
02:20
In five number summary consists of first quartile q1 q3 median maximum and minimum maximum and minimum.
02:48
So first to find all these values we can first order the data set from smallest to largest as 7 9 11 12 12 12 13 14 14 15 18 20 and 28.
03:11
Now the minimum value is 7.
03:18
The minimum value value is equals to 7.
03:26
The maximum value maximum value which is 28.
03:35
The median first we find out the median which is 12 plus 13...
