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 4, 7, 8, 9, 10, 12, 13, 17 are Given. Deviation |d| = |x-Mean|
Mean = \(\Sigma \frac{|x_1|}{n}\)
Mean of the Given Observations
= \(\frac{4+7+8+9+10+12+13+17}{8}\) = \(\frac{80}{8}\)
And, The number of observations is 8.
Now, The Mean Deviation is
| Xi |
|di| = |xi - 10| |
| 4 |
6 |
| 7 |
3 |
| 8 |
2 |
| 9 |
1 |
| 10 |
0 |
| 12 |
2 |
| 13 |
3 |
| 17 |
7 |
| Total Σxi = 80 |
24 |
Mean Deviation of the given Observations = \(\frac{24}{8} \) = 3
Hence, The Mean Deviation is 3
