Which of the following is true about standard deviation?
The mean square deviations of a set of observations x1, x2, ⋯, xnabout a point c is defined to be 1n∑ni=1(xi−c)2 The mean square deviations about -1 and +1 of a set of observations are 7 and 3, respectively. Find the standard deviation of this set of observations.
State with reason whether the following statements are True or False:
(i) Sum of square of the deviations of items from their arithmetic mean is the maximum.
(ii) Standard Deviation is based on all values.
(iii) For a given set of observations, standard deviation is always more than mean deviation from mean.