Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation from Mean.
Formula Used: Mean Deviation = \(\frac{\Sigma d_i}{n}\)
Explanation: Here, Observations 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17 are Given. Deviation |d| = |x-Mean|
Mean = \(\Sigma \frac{|x_i|}{n}\)
Mean of the Given Observations = \(\frac{13+17+16+14+11+13+10+16+11+18+12+17}{12}\)
And, The number of observations is 12.
Now, The Mean Deviation is
| Xi |
|di| = |xi-14| |
| 13 |
1 |
| 17 |
3 |
| 16 |
2 |
| 14 |
0 |
| 11 |
3 |
| 13 |
1 |
| 10 |
4 |
| 16 |
2 |
| 11 |
3 |
| 18 |
4 |
| 12 |
2 |
| 17 |
3 |
| Total xi = 168 |
28 |
Mean Deviation = \(\frac{\Sigma d_i}{n}\)
Mean Deviation of the given Observations = \(\frac{28}{12}\) =2.33
