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A list of ten distinct, positive integers has a median of 5.5.  What is the smallest possible average of the ten positive integers?  Explain your ansswer in complete sentences.

 Apr 7, 2023
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Since you want the least average, then you want the most amount of small numbers

There has to be a 5.5 median so the list would have to  have one 5 and one 6.

so the list would be 1,2,3,4,5,6,7,8,9,10 since there cannot be reapeats

1+2+3+4+5+6+7+8+9+10 is 11* 5 since 1+10 is 11 2+9 is 11...

so the average is 55/10 or 5.5

 Apr 7, 2023

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