2014 · Q100
The geometric mean of (x1, x2, x3, ... xn) is X and the geometric mean of (y1, y2, y3, ... yn) is Y. Which of the following is/are correct?
- 1The geometric mean of (x1y1, x2y2, x3y3, ... xnyn) is XY.
- 2The geometric mean of (x1/y1, x2/y2, x3/y3, ... xn/yn) is X/Y.
Select the correct answer using the code given below:
Elementary MathematicsStatistics
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
GM(xiyi) = (prod xi yi)^{1/n} = X·Y and GM(xi/yi) = (prod xi/prod yi)^{1/n} = X/Y; both statements hold.