MathDB

A student attempted to compute the average

A

x

y

and

z

by computing the average of

x

and

y

, and then computing the average of the result and

z

. Whenever

x < y < z

, the student's final result is

<span class='latex-bold'>(A)</span>\ \text{correct}

<span class='latex-bold'>(B)</span>\ \text{always less than A}

<span class='latex-bold'>(C)</span>\ \text{always greater than A}

<span class='latex-bold'>(D)</span>\ \text{sometimes less than A and sometimes equal to A}

<span class='latex-bold'>(E)</span>\ \text{sometimes greater than A and sometimes equal to A}

Problem Statement