Step-by-step explanation:
(1) The range of set A is greater than the range of set B.
This statement gives only the range which means only outermost values but what about the other values. For example-11,0,0,0,11 and -10,-10,0,10,10
Clearly, Former one has higher range but lower standard deviation.
(2) Sets A and B are both evenly spaced sets.
Evenly spaced is fine. However, we don't know the spacing since that is required to know the deviation.
For, example, sets A{2,4,6,8,10} and B {1,2,3,4,5} so in this case SD of A> SD of B. Or, we can have B{2,4,6,8,10} and A{1,2,3,4,5} so in this case SD of B> SD of A.
