A is a set containing 8 different numbers. B is a set containing 7 different numbers, all of which are members of A . Which of the following statements CANNOT be true? Choose the correct answer:
A) The range of A is less than the range of B.
B) The mean of A is greater than the mean of B .
C) The range of A is equal to the range of B.
D) The mean of A is less than the mean of B.
E) The mean of A is equal to the mean of B.
The range of a set is the difference between the largest and smallest elements of a set.   So, the answer is straight A: the range of a subset cannot be more than the range of a whole set: how can the difference between the largest and smallest elements of a subset bemorethan the difference between the largest and smallest elements of a whole set.   As for D:   Consider set A to be {-3, -2, -1, 0, 1, 2, 3, 4} --&gt; mean=0.5.   (D) The mean of R is less than the mean of B--&gt; remove the smallest term -3, then the mean of Bwill be 1, so more than 0.5. The range of A is less than the range of B.NSWER IS The range of A is less than the range of B.
<result>A</result>
A is a set containing 8 different numbers. B is a set containing 7 different numbers, all of which are members of A . Which of the following statements CANNOT be true?