As I recall, SD is indeed a measure of how much variation there is in your sample from the average.
Let's look at one group: 1, 1.5, 2, 2.5, 3. The average would be 2.
A second group would be 1.8, 1.9, 2, 2.1, 2.2. The average for this group is also 2, but you can see the difference.
If you were a commercial firm, it might be of some importance. Not a mathematician, so somebody else will no doubt challenge me, but the proof of the pudding is a tight group, not a calculated value on paper or screen. If you're achieving that one-ragged-hole standard, SD and variance and all the other little furry critters so beloved of statisticians are IMO irrelevant.
If it really worries you, you could use the calculator here:
http://easycalculation.com/statistics/standard-deviation.php