2010 · Q94
For a set of positive numbers, consider the following statements :
- 1If each number is reduced by 2, then the geometric mean of the set may not always exist.
- 2If each number is increased by 2, then the geometric mean of the set is increased by 2.
Which of the above statements is/are correct ?
Elementary MathematicsStatistics
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Reducing by 2 can destroy positivity (GM undefined); GM does not shift by 2.