Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = \(\frac{\Sigma d_i}{n}\)
Explanation: Here, Observations 57, 64, 43, 67, 49, 59, 44, 47, 61,59 are Given
Deviation |d| = |x-Mean|
Mean = Σ \(\frac{|x_i|}{n}\)
of the Given Observations = \(\frac{57+64+43+67+49+59+44+47+61+59}{10}\) = \(\frac{550}{10}\)
And, The number of observations is 10.
Now, The Mean Deviation is
| Xi |
|di| = |xi-55| |
| 43 |
12 |
| 44 |
11 |
| 47 |
8 |
| 49 |
6 |
| 57 |
2 |
| 59 |
4 |
| 59 |
4 |
| 61 |
6 |
| 64 |
9 |
| 67 |
12 |
| Total Σxi = 500 |
74 |
Mean Deviation = \(\frac{\Sigma d_i}{n}\)
Mean Deviation of the given Observations = \(\frac{74}{10}\) = 7.4
Hence, The Mean Deviation is 7.4
