00:01
Hello students by using the given sample data of 9 observations, we have to calculate the mean standard deviation and the coefficient of variation.
00:10
So, now here we have n is equal to 9 that is total number of observations.
00:15
So, therefore, the formula for the mean that is x bar is equal to summation of x divided by n and that is equal to 24 .4 plus 49 .4 plus this is up to 18 .3 and divide by 9.
00:38
So, therefore, we will get the value of x bar is equal to 266 .1 divided by 9 is equal to 29 .56.
00:49
So, therefore, the mean of the given data mean is equal to 29 .56.
00:59
Then next we have to compute the standard deviation and for that first we need to calculate the variance.
01:07
So, the formula for the variance is variance is equal to sigma square which is equal to 1 upon n into summation of x square minus x bar square.
01:20
So, first we will calculate the first term that is 1 upon n into summation of x square.
01:27
So, this is equal to 1 upon 9 into bracket 24 .4 square plus 49 .4 square plus this is up to 18 .3 square and now that is equal to 9063 .01 divided by 9 which is equal to 1007 .00.
01:55
So, now if we substitute this value in the above equation that is this we will get the variance...