If the average of ten numbers is 50, then which of the following could be the standard deviation of the ten numbers?
I. 0
II. 10
III. 50 Pick one:
A) I  B) II  C) III  D) all three options  E) I&II
We know that we have 10 numbers (and they could be ANY values - including negatives and non-integers) and we know that the average of those numbers is 10. This is meant to say that there are an INFINITE number of possible sets of 10 numbers that fit this prompt.   IF all ten numbers were the same (meaning that we had ten 10s), then the SD would be 0. The more 'spread out' those ten numbers get, the higher the SD becomes. Since there's no limit to the 'spread', then there's no limit to what the SD could be either. Thus, it could be 10 or 20 or any other number.   all three options
<result>D</result>
If the average of ten numbers is 50, then which of the following could be the standard deviation of the ten numbers?
I. 0
II. 10
III. 50