7. Find the mean deviation about the median.
5 | 8 | 8 | 2 | 16 |
7 | 6 | 14 | 0 | 0 |
9 | 2 | 16 | 2 | 4 |
10 | 2 | 18 | 3 | 6 |
12 | 2 | 20 | 5 | 10 |
15 | 6 | 26 | 8 | 48 |
Now, N = 26 which is even.
Median is the mean of and observations.
Both these observations lie in the cumulative frequency 14, for which the corresponding observation is 7.
Therefore, Median, M
Now, we calculate the absolute values of the deviations from median, and
= 84
Hence, the mean deviation about the median is 3.23