Simplest terms, it means that the sample values are grouped closely together. Another way of saying it is that the range of values is small.
The plot will be a leptokurtic plot (peaked).
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No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.
Yes.
Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.
There are a few characteristics of standard deviation. Standard deviation means that something is predictably doing something other than what it typically does. One characteristic is that it is frequent.
Use %RSD when comparing the deviation for popolations with different means. Use SD to compare data with the same mean.