Bullzi wrote:If in a certain sequence of consecutive multiples of 50, the median is 625, and the greatest term is 950, how many terms that are smaller than 625 are there in the sequence?
A. 6
B. 7
C. 8
D. 13
E. 13
The median of 625 is not itself a multiple of 50.
Implication:
This median must be HALFWAY between two multiples of 50.
Thus, the two middle terms in the sequence must be 600 and 650, with result that the median of 625 is halfway between them.
Since the greatest term is 950, the latter half of the sequence is as follows:
600,
650, 700, 750, 800, 850, 900, 950.
As illustrated by the values in red, the latter half of the sequence has 7 terms ABOVE the median of 625.
Thus, the first half of the sequence must have 7 terms BELOW the median of 625.
The correct answer is
B.
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