2020 · Q97
What is the algebraic sum of the deviations from the mean of a set of values 25, 65, 73, 75, 83, 76, 17, 15, 7, 14?
Elementary MathematicsStatistics
- A−1
- B0
- C1
- D2
Explanation
The algebraic sum of deviations of any data set from its mean is always 0. Hence option (B). This is an identity: sum(x_i - mean) = sum(x_i) - n*mean = 0 for every data set.