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Introduction to statistics

Question

 If the median and range of four numbers {x,y,2x+y,xy}, where 0<y<x<2y are 10,28 respectively, then the mean of the numbers is 

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Solution

 Given that 0<y<x<2yAscending order of given data is xy,y,x,2x+yRange is 282x+yxy=28x+2y=28Median: 10=x+y2x+y=20by solving both the above equaitons y=8,x=12Mean is 4x+y4=14



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