The sum of deviations taken from mean is(1 Point)Always equal to zero Sometimes equal to zeroNever equal to zeroLess than zero

Final Answer

The sum of deviations taken from the mean is always equal to zero.

Explanation

This is a fundamental property of statistics. When calculating the mean of a data set, the deviations are the differences between each data point and the mean. By definition, if you sum all these deviations (positive and negative), they will cancel each other out, resulting in a total of zero. This can be mathematically represented as follows:

$\sum_{i=1}^{n} (x_i - \bar{x}) = 0$

where $x_i$ represents each data point, $\bar{x}$ is the mean, and $n$ is the number of data points. Therefore, the correct answer to the question is that the sum of deviations taken from the mean is always equal to zero.