If the mean of a data set is 10 and one of the data points is 8, what is the absolute deviation for this data point?

Answer 1

To find the absolute deviation of a data point from the mean, you subtract the mean from the data point and then take the absolute value of that difference.

Given:

• Mean = 10
• Data point = 8

The absolute deviation is calculated as follows:

\[ \text{Absolute Deviation} = |\text{Data Point} - \text{Mean}| \] \[ \text{Absolute Deviation} = |8 - 10| \] \[ \text{Absolute Deviation} = |-2| = 2 \]

So, the absolute deviation for the data point 8 is 2.