BTGmoderatorDC wrote:Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?
A)Range P ≥ Range Q
B)Mean P = Mean Q
C)Range P ≠Range Q
D)Median P ≠Median Q
E)Range P > Range Q
One approach:
Show that four of the five answers do NOT have to be true.
P--> a=1, b=2, c=3, d=5, e=6, f=7, g=4
Range = 7-1 = 6, median = 4, mean = (1+2+3+5+6+7+4)/7 = 28/7
Q --> a=1, b=2, c=3, d=5, e=6, f=7
Range = 7-1 = 6, median = (3+5)/2 = 4, mean = (1+2+3+5+6+7)/6 = 24/6 = 4
Since P and Q do not have the same mean, eliminate B.
Since P and Q have the same range, eliminate C and E.
Since P and Q have the same median, eliminate D.
The correct answer is
A.
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