Median Cons. Integer

rijul007: Legendary Member; Posts: 588; Joined: Sun Oct 16, 2011 9:42 am; Location: New Delhi, India; Thanked: 130 times; Followed by:9 members; GMAT Score:720

by rijul007 » Wed Jan 04, 2012 9:55 pm

karthikpandian19 wrote:Is the mean of set S greater than its median?
(1) All members of S are consecutive multiples of 3
(2) The sum of all members of S equals 75

(1) All members of S are consecutive multiples of 3

Case1:When no of elements is odd
3,6,9
Arithematic mean = 6
Median = 6

Case2: When number of elements is even

3,6,9,12
Arithematic mean = 7.5
Median(for even multiples) = Arithematic mean of the two middle terms = 6+9/2 = 7.5

Answers the question with a NO

Sufficient

(2) The sum of all members of S equals 75
Tells us nothing, about the mean and median of set S

Insufficient

Option A

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karthikpandian19: Legendary Member; Posts: 1665; Joined: Thu Nov 03, 2011 7:04 pm; Thanked: 165 times; Followed by:70 members

by karthikpandian19 » Thu Jan 05, 2012 9:05 pm

OA is A

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