Three distinct positive real numbers form one data set. A second data set is obtained by taking the reciprocal of each number in the first set.
Consider the statements
- P: The mean of the first data set is greater than its median.
- Q: The mean of the second data set is greater than its median.
Which of the following correctly describes as a condition for ?
A is sufficient but not necessary for .
B is neither necessary nor sufficient for .
C is necessary but not sufficient for .
D is both necessary and sufficient for .