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A certain builder is selling five homes for the following prices: $157,000, $168,000, $195,000, $235,000, and $256,000.

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by BTGmoderatorDC » Sat Mar 28, 2020 6:38 pm

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C

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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.


OA C

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Re: A certain builder is selling five homes for the following prices: $157,000, $168,000, $195,000, $235,000, and $256,0

by AAPL » Mon Mar 30, 2020 10:03 am
BTGmoderatorDC wrote: ↑
Sat Mar 28, 2020 6:38 pm
 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.


OA C

Source: GMAT Prep
Old set \(= \{157, 168, 195, 235, 256\}\).

New set \(= \{157, 168, 195, 235, 266\} \Longrightarrow\) the median (middle term) will remain the same and the mean will increase.

Therefore, the correct answer is C.
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Re: A certain builder is selling five homes for the following prices: $157,000, $168,000, $195,000, $235,000, and $256,0

by Scott@TargetTestPrep » Fri Apr 10, 2020 7:14 am
BTGmoderatorDC wrote: ↑
Sat Mar 28, 2020 6:38 pm
 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.


OA C

Source: GMAT Prep
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

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