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Can the Mean ever be smaller than the smallest number in your data set

Can the Mean ever be smaller than the smallest number in your data set
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Can the Mean ever be smaller than the smallest number in your data set

User Robert Fleming
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2 Answers

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No it cannot. The mean is the average. The larger numbers would makes the average higher than the smallest number.
User George Robinson
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7.6k points
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No, the mean can NEVER be lower than the lowest number.
Likewise, the mean cannot be greater than the highest number as well.
User Sgarman
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8.6k points
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