How to calculate mean deviation from the median of the given data?
To calculate mean deviation from median, the following formula is used
| When Mean deviation are taken from Median (M) |
For Individual Series | |
For Discrete and Continuous Series |
The calculation process of Mean Deviation from median can be better understood with the help of the following example.
Example: For the following data calculate Mean Deviation from median.
X | f |
0 – 10 | 5 |
10 – 20 | 9 |
20 – 30 | 6 |
30 – 40 | 3 |
40 – 50 | 2 |
X | f | C.f | Mid-Point | |D| From median | f|D| |
0 – 10 | 5 | 5 | 5 | 13.88 | 69.4 |
10 – 20 | 9 | 14 | 15 | 3.88 | 34.92 |
20 – 30 | 6 | 20 | 25 | 6.12 | 36.72 |
30 – 40 | 3 | 23 | 35 | 16.12 | 48.36 |
40 – 50 | 2 | 25 | 45 | 26.12 | 52.24 |
N = 25 | 66.12 | 179.18 |
13th item whose class interval is 10 – 20
Thus, the value of Mean Deviation calculated from median is 7.16