If there are 3 observations 15, 20, 25 then sum of deviation of the ob...
Calculation of Sum of Deviations from Arithmetic Mean
To calculate the sum of deviations from arithmetic mean, follow these steps:
Step 1: Calculate the arithmetic mean
The arithmetic mean (AM) is the sum of all the observations divided by the number of observations. In this case, we have:
AM = (15 + 20 + 25) / 3 = 20
Step 2: Calculate the deviation of each observation from the AM
To calculate the deviation of each observation from the AM, we subtract the AM from each observation. In this case, we have:
Deviation of 15 from AM = 15 - 20 = -5
Deviation of 20 from AM = 20 - 20 = 0
Deviation of 25 from AM = 25 - 20 = 5
Step 3: Add up the deviations
Finally, we add up the deviations to get the sum of deviations from the AM. In this case, we have:
Sum of deviations from AM = -5 + 0 + 5 = 0
Therefore, the sum of deviations from the AM for the observations 15, 20, and 25 is zero. This means that the observations are evenly distributed around the AM.