Question

What is the sum of the absolute deviations In the following dataset: 68, 51, 75, 78, 94, 35? The mean is 66.8.

Answer 1

To calculate the sum of the absolute deviations, we first need to find the absolute deviation for each data point from the mean.

Absolute Deviation for each data point:
- |68 - 66.8| = 1.2
- |51 - 66.8| = 15.8
- |75 - 66.8| = 8.2
- |78 - 66.8| = 11.2
- |94 - 66.8| = 27.2
- |35 - 66.8| = 31.8

Now, we sum up all the absolute deviations:
1.2 + 15.8 + 8.2 + 11.2 + 27.2 + 31.8 = 95.4

Therefore, the sum of the absolute deviations in the dataset is 95.4.