alanforde800Maximus wrote:A is a set containing 7 different numbers. B is a set containing 6 different numbers, all of which are members of A. Which of the following statements CANNOT be true?
A) The range of A is equal to the range of B
B) The mean of A is greater than the mean of B
C) The range of A is less than the range of B
D) The mean of A is equal to the mean of B
E) The median of A is equal to the median of B
Let B = {1, 3, 5, 7, 9, 11}
All of the members of B are also members of A.
Since A must include all of the values contained in B, its range cannot be smaller than B's range.
The correct answer is
C.
A) The range of A is equal to the range of B
D) The mean of A is equal to the mean of B
E) The median of A is equal to the median of B
These options are possible if A = {1, 3, 5, 6, 7, 9, 11}
B) The mean of A is greater than the mean of B
This option is possible if A = {1, 3, 5, 7, 9, 11, 100}
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