The standard deviation is ….. To the mean deviation taken from the arithmetic mean

Show that the sum of deviations of the values of the variable from their arithmetic mean is equal to zero.

Show that the mean deviation with respect to Arithmetic mean is zero

For a group containing 100 observations, the arithmetic mean and standard deviation are 8 and sqrt(10.5) . For 50 observations selected from the 100 observations, the arithmetic mean and standard deviations are 10 and 2 respectively. Find the arithmetic mean and the standard deviation of the other half.

A simple of 25 variates has mean 40 and standard deviation 5 and a second sample of 35 variates has mean 45 and the standard deviation 2. Find the mean and standard deviation of the two samples of variates , taken together.

A sample of 25 variates has mean 40 and standand deviation 5 and a second sample of 35 variates has mean 45 and the standard deviation 2. Find the mean and standard deviation of the two samples of variates, taken together.

Mean deviation from mean of the data is

Find out mean deviation and coefficient of mean deviation, using arithmetic mean from the following data:

If coefficient of variation is 60 and standard deviation is 24, then arithmetic mean is :