This question has kinda stumped me:
For a data set, the mean is 5 and the standard deviation is 1. There are 10 values in the data set. Is the range of the data set bigger, smaller or equal to 10?
I don't want the answer, just the technique. Here's what I've tried (admittedly, not much):
$\sum_{i=0}^{9}a_i / 10= 5$ $\sigma = 1$ Is there a relation between standard deviation and simple mean which I can use? Any help is appreciated. This is not homework, it's a practice qn for the GRE.