Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = \(\frac{\Sigma d_i}{n}\)
Explanation: Here, Observations 38, 70, 48, 34, 63, 42, 55, 44, 53, 47 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
34, 38, 43, 44, 47, 48, 53, 55, 63, 70
Here the Number of observations are Even then the middle terms are 47 and 48.
Therefore, The Median =\(\frac{47+48}{2}\) = 47.5
Deviation |d| = |x-Median|
And, The number of observations are 10.
Now, The Mean Deviation is
| Xi |
|di| = |xi-47.5| |
| 38 |
9.5 |
| 70 |
22.5 |
| 48 |
0.5 |
| 34 |
13.5 |
| 63 |
15.5 |
| 42 |
5.5 |
| 55 |
7.5 |
| 44 |
3.5 |
| 53 |
5.5 |
| 47 |
0.5 |
| Total Σdi |
84 |
Mean Deviation = \(\frac{84}{10}\) =8.4
Hence, The Mean Deviation is 8.4
