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18 Oct 2004, 09:08
Kudos
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N
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Steve took 5 history exams during a semester. Each score was one of the
integers 1 through 100 inclusive. What was Steve's median score for these
5 exams?
(1) Steve's scores on the first 4 exams where 76, 87, 73, and 96, respectively,
and Steve's average (arithmetic mean) score on the last 3 exams was 89.
(2) Steve's scores on the first 3 exams were 76, 87, and 73, respectively,
and Steve's average (arithmetic mean) on all 5 exams was 86.
Easy question of a type that I keep making stupid mistakes on ...
integers 1 through 100 inclusive. What was Steve's median score for these
5 exams?
(1) Steve's scores on the first 4 exams where 76, 87, 73, and 96, respectively,
and Steve's average (arithmetic mean) score on the last 3 exams was 89.
(2) Steve's scores on the first 3 exams were 76, 87, and 73, respectively,
and Steve's average (arithmetic mean) on all 5 exams was 86.
Easy question of a type that I keep making stupid mistakes on ...
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18 Oct 2004, 09:19
Kudos
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I'm thinking D
coz from 1 we can get alll the 5 different scores
from 2 we get the sum of of the last 2 to be 191
the max score possible is 100 hence the other score cannot be less than 91 which means for all possible values of the last 2 scores 87 remains the median
coz from 1 we can get alll the 5 different scores
from 2 we get the sum of of the last 2 to be 191
the max score possible is 100 hence the other score cannot be less than 91 which means for all possible values of the last 2 scores 87 remains the median
