Question

If sets A and B have the same number of terms, is the standard deviation of set A greater than the standard deviation of set B? 1.The range of set A is greater than the range of set B. 2. Sets A and B are both evenly spaced sets.

Answer 1

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.