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?
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AThe mean and the median will remain unchanged.
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BThe mean will remain unchanged but the median will increase.
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CThe mean will increase but the median will remain unchanged.
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DThe mean and the median will increase by the same amount.
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EThe mean and the median will increase by different amounts.