2026 · Q95
If the heights (in cm) of 9 students of a class are 150, 165, 145, 149, 150, 147, 152, 144 and 148, then what is the algebraic sum of the heights measured from their arithmetic mean?
Elementary MathematicsStatistics
- A−5
- B0
- C5
- D150
Explanation
The algebraic sum of deviations from the arithmetic mean is identically zero for any data set. This is because the positive and negative deviations cancel each other by the very definition of the mean. Hence the sum is 0, option B.