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# A certain builder is selling five homes for the following

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Re: A certain builder is selling five homes for the following [#permalink]
skamal7
A certain builder is selling five homes for the following prices: $157,000,$168,000, $195,000,$235,000, and $256,000. If the price of the most expensive home is increased$10,000, which of the following statements best describes the change in the mean and the median of the home prices?

(A) The mean and the median will remain unchanged.
(B) The mean will remain unchanged but the median will increase.
(C) The mean will increase but the median will remain unchanged.
(D) The mean and the median will increase by the same amount.
(E) The mean and the median will increase by different amounts.

No calculations required for this one as Median of 5 values will remain the same $195,000 , though the mean will increase, among the given options only (C) is correct!! Target Test Prep Representative Joined: 14 Oct 2015 Status:Founder & CEO Affiliations: Target Test Prep Posts: 19460 Own Kudos [?]: 23251 [1] Given Kudos: 286 Location: United States (CA) A certain builder is selling five homes for the following [#permalink] 1 Kudos Expert Reply skamal7 A certain builder is selling five homes for the following prices:$157,000, $168,000,$195,000, $235,000, and$256,000. If the price of the most expensive home is increased $10,000, which of the following statements best describes the change in the mean and the median of the home prices? (A) The mean and the median will remain unchanged. (B) The mean will remain unchanged but the median will increase. (C) The mean will increase but the median will remain unchanged. (D) The mean and the median will increase by the same amount. (E) The mean and the median will increase by different amounts. Original prices: {$157,000, $168,000,$195,000, $235,000,$256,000}

New prices: {$157,000,$168,000, $195,000,$235,000, $266,000} If the price of the most expensive home is increased by 10,000 dollars, the mean will increase but the median will remain the same. Answer: C GMAT Club Legend Joined: 03 Oct 2013 Affiliations: CrackVerbal Posts: 4914 Own Kudos [?]: 7919 [0] Given Kudos: 221 Location: India Re: A certain builder is selling five homes for the following [#permalink] Top Contributor skamal7 A certain builder is selling five homes for the following prices:$157,000, $168,000,$195,000, $235,000, and$256,000. If the price of the most expensive home is increased \$10,000, which of the following statements best describes the change in the mean and the median of the home prices?

(A) The mean and the median will remain unchanged.
(B) The mean will remain unchanged but the median will increase.
(C) The mean will increase but the median will remain unchanged.
(D) The mean and the median will increase by the same amount.
(E) The mean and the median will increase by different amounts.

The median is the middle value for a set of numbers arranged in ascending order.

The most expensive house will be a value after the median. Only the last value will change.

The mean will definitely change as the sum of the observations will increase.

Therefore the mean increases, but the median remains unchanged.

Option D

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Re: A certain builder is selling five homes for the following [#permalink]
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Re: A certain builder is selling five homes for the following [#permalink]
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