If the mean of 4,7,2,8,6 and k is 7 . Then the mean deviation from the mean of these observations is

Step-by-step solution

The mean of the observations 4, 7, 2, 8, 6, k is given as 7 . 4 + 7 + 2 + 8 + 6 + k 6 = 7 27 + k 6 = 7 27 + k = 42 k = 42 - 27 = 15 The observations are 4, 7, 2, 8, 6, 15 . The mean is x = 7 . The mean deviation from the mean is given by 1 n _ i=1 ^ n |x_i - x | . Mean deviation = |4-7| + |7-7| + |2-7| + |8-7| + |6-7| + |15-7| 6 Mean deviation = |-3| + |0| + |-5| + |1| + |-1| + |8| 6 Mean deviation = 3 + 0 + 5 + 1 + 1 + 8 6 = 18 6 = 3 . Answer: 3