Answer
No, see explanations.
Work Step by Step
We have $\mu=456,\sigma=100$ for the population.
A subgroup of these students may have a different mean and
standard deviation. While the sampling mean will be the
same as $\mu$, the sampling standard deviation
will be $\sigma/\sqrt n$ where n is the sample size.
For a particular sample (subgroup), such as from the National
Honor Society, the mean is likely to be higher than $\mu$ and
the standard deviation less than $\sigma$.
