Set, Relation and FunctionHard
Question
The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set
Options
A.is increased by 2
B.is decreased by 2
C.is two times the original median
D.remains the same as that of the original set
Solution
12x + 4 + 3 - 3x + 6 - 12x ≤ 1
0 ≤ 13 - 3x ≤ 12
3x ≤ 13
⇒ x ≥
x ≤
Hence, (C) is the correct answer.
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