00:01
The given data x is 17, 20, 24, 27, 29, 32, 35, 35 summation x will be equal to 219 and number of values is 8.
00:24
So x bar will be equal to summation x divided by n which is 219 divided by 8 that is equal to 27 .375 that is the mean value.
00:42
So x minus x bar we have to subtract each of the data point with the mean which is 27 .375.
00:52
So we will be getting the values negative 10 .375, negative 7 .375, negative 3 .375, negative 0 .375, 1 .625, 4 .625, 7 .625, 7 .625.
01:17
X minus x bar whole raised to 2 will be 107 .64, 54 .39, 11 .39, 0 .14, 2 .64, 21 .39, 58 .14, 58 .14.
01:39
And the standard deviation will be equal to square root of summation x minus x bar whole raised to 2 divided by n minus 1.
01:53
On substituting the values the sum of x minus x bar whole raised to 2 is 313 .875 divided by n value is 8, 8 minus 1 it's 7.
02:06
So the answer for standard deviation is 6 .696214 rounding it up to three decimal places the standard deviation is 6 .696 and the median is the arithmetic mean of two middle data that is 27 plus 29 divided by 2 which is equal to 28.
02:36
Hence mean is equal to 27 .375, median is 28, standard deviation 6 .696...