The mean deviation from the mean for the set of observations – 1, 0, 4 is
less than 3
less than 1
greater than 2.5
greater than 4.9
¯x=−1+0+43=1.∴ Mean Deviation=13[|−1−1|+|0−1|+|4−1|]=2
Calculate mean deviation about mean and median for given observations {1, 1, 4, 2, 6, 100, 150, 200, 400}
Find the mean deviation taking deviation from the mean for the given individual observation 10, 20, 30, 40, 50, 60, 70
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.