medians and stuff

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jopup: Junior | Next Rank: 30 Posts; Posts: 28; Joined: Sat Jun 14, 2008 5:12 am; Thanked: 1 times

by jopup » Sun Jun 22, 2008 3:31 pm

how do you calculate this?

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Source: Beat The GMAT — Problem Solving | Sun Jun 22, 2008 3:31 pm

punit.kaur.mba: Master | Next Rank: 500 Posts; Posts: 104; Joined: Wed Feb 13, 2008 1:44 pm; Thanked: 8 times

by punit.kaur.mba » Mon Jun 23, 2008 6:48 am

If you arrange all the sales in increasing order, and get the median

190 (Cal) ,210,360,450 (Ann),680
Current median value (without error correction ) = 360.

After correction, median changed to 330. It means either Ann's sales or Cal's sales changed to 330, since we are correcting only those.

So, take 2 cases:

Case 1 )
If Cal's sales increased to 330 .
error = 330 - 190 = 140.

Since Cal's sales increased, Ann's sales should decrease
Hence, Ann's sales = 450 - 140 = 310

But Question says, Ann's sales still remained higher than Cal's sales, so Case 2 should be the answer.

Case 2)

Ann's sales decreased to 330.
error = 450 - 330 = 120

Cal's sales increased by 120
Cals sales = 190 + 120 = 310

Questions says Ann's sales still remained higher. This condition is satisfied.
Hence answer is 120k.

Whats the OA?

https://punitkaur.blocked/

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sethids: Master | Next Rank: 500 Posts; Posts: 135; Joined: Mon Jun 23, 2008 3:56 am; Thanked: 7 times

Answer is D

by sethids » Mon Jun 23, 2008 9:08 am

Totally agree with punit... the answer should be $120,000.
Any other value would not suffice the conditions of having the median as $330,000 and Ann's sales being greater than Cal's

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