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a list of five positive integers has a median of 3 and a mean of 11. What is the maximum possible value of the list's largest element?

 Feb 23, 2019
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If the mean is 11, the sum of the integers must be 55

 

The max value the largest integer will occur when the sum of he remaining integers is minimized

 

Since you don't specify that the integers must be unique......the remaining integers can be

 

1, 1, 3, 3  

 

And their sum is  8

 

So....he largest integer must be 55 - 8  =  47

 

 

 

cool cool  cool

 Feb 23, 2019

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