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Is it possible to find two data sets A and B such that A has a greater median and mode, while B has a greater average and range? If you think the answer is yes, provide an example. If you think the answer is no, explain why not.

 Jun 12, 2021

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 #3
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Since median and mode are both forms of average, I'm assuming that where you used the word average you were referring to the mean. In which case:

 

 Jun 14, 2021
 #1
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No, it's not possible, but I can't write a whole proof right now.

 Jun 13, 2021
 #2
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are you sure? 

Guest Jun 14, 2021
 #3
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Since median and mode are both forms of average, I'm assuming that where you used the word average you were referring to the mean. In which case:

 

Alan Jun 14, 2021

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