What is the mean deviation of 3, 5, 8, 11, 12 and 21?
Answer Details
The mean deviation is a measure of the spread of a dataset. It is calculated by finding the average of the absolute deviations of the values from the mean.
First, we need to find the mean of the given values:
mean = (3+5+8+11+12+21)/6 = 60/6 = 10
Next, we find the absolute deviation of each value from the mean:
|3-10| = 7
|5-10| = 5
|8-10| = 2
|11-10| = 1
|12-10| = 2
|21-10| = 11
The sum of these absolute deviations is:
7+5+2+1+2+11 = 28
Finally, we find the mean deviation by dividing the sum of absolute deviations by the number of values:
mean deviation = 28/6 = 4.7
Therefore, the mean deviation of the given values is 4.7.