Q.Write True or False: Median is obtained by first arranging the data in ascending or descending order.

The median is the middle value of an ordered dataset, so arranging the data in ascending or descending order is the first necessary step to compute it.

The median of a set of observations is the value that divides the data into two equal halves when arranged in order of magnitude. To locate this middle value (or …

With median 9, the average absolute deviation of the 9 values works out to $40/9$.

Sort the data: $3, 4, 5, 7, 9, 10, 12, 18, 19$ ($n=9$, odd).

Median = middle (5th) value $= 9$.

Absolute deviations $|x_i - 9|$: $6, 5, 4, 2, 0, 1, 3, 9, 10$

Sum of deviations $= 6+5+4+2+0+1+3+9+10 = 40$

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