Question

The mean deviation from the median of the following set of observations 5, 3, 9, 12, 3, 10, 12, 21, 18, 12, 21 is
(a) 5.113
(b) 4.606
(c) 4.134
(d) 4.909​

Answer 1

4.909

Step-by-step explanation:

There are 11 observations, on arranging these observations in ascending order of magnitude, we get

3, 3, 5, 9, 10, 12, 12, 12, 18, 21, 21

The number of observations n ( = 11) is an odd number, therfore, median

M=11+12 the observation = 6th observation=12∴ Mean deviation (about median)

=∑|xi−M|n=∑|xi−12|n=5411=4.909