Mean Less Than MedianDate: 08/17/2003 at 08:43:21 From: Charmaine Subject: Mean < Median Can you draw any valid conclusions about a set of data in which the mean is less than the median? Normally the mean is greater than or about the same as the median; however, if the mean is less than the median, what can we conclude from the set of data? Date: 08/17/2003 at 09:51:19 From: Doctor Douglas Subject: Re: Mean < Median Hi Charmaine, Thanks for writing to the Math Forum. This can occur if the extreme values on the small end are farther from the mean than the extreme values on the high side: {1,1,99,99,100,100,100} Here the median is 99, but the mean is 71.4. The two small values skew the mean downward. I'm not sure that this answers your question. Please write back if you have any more questions about this. - Doctor Douglas, The Math Forum http://mathforum.org/dr.math/ Date: 08/18/2003 at 07:13:20 From: Charmaine Subject: Thank you (Mean < Median) Thank you Doc Douglas for the information that you have provided... it gives me a clearer picture now. Thank you once again. :) |
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