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Senior | Next Rank: 100 Posts
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by Jameschan168 » Fri Sep 07, 2007 10:30 pm
A list of measurements in increasing order of 4,5,6,8,10 and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x?

a. 16
b. 15
c. 14
d. 13
e. 12
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Re: GMAT Prep

by ratindasgupta » Sat Sep 08, 2007 12:08 am
Jameschan168 wrote:A list of measurements in increasing order of 4,5,6,8,10 and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x?

a. 16
b. 15
c. 14
d. 13
e. 12
The median of the 6 measurements is (6+8)/2 = 7

If the median of these measurements is 6/7 times their arithmetic mean, the mean is then 49/6.

Therefore we need to find the number that when added to the 5 numbers equals 49. That number is 16.

Hence answer is A
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Re: GMAT Prep

by Jameschan168 » Sat Sep 08, 2007 7:41 am
Oh I got it. It was such an easy problem but I just forgot that the numbers were already listed in increasing order so the median has to be equal to (6+8) /2 = 7.
ratindasgupta wrote:
Jameschan168 wrote:A list of measurements in increasing order of 4,5,6,8,10 and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x?

a. 16
b. 15
c. 14
d. 13
e. 12
The median of the 6 measurements is (6+8)/2 = 7

If the median of these measurements is 6/7 times their arithmetic mean, the mean is then 49/6.

Therefore we need to find the number that when added to the 5 numbers equals 49. That number is 16.

Hence answer is A
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by kajcha » Mon Sep 10, 2007 9:52 am
jameschan, can you please make sure NOT to post problem solving questions in DS thread....

Thanks,
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by gabriel » Mon Sep 10, 2007 9:59 am
moved to PS section ..
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