A student attempted to compute the average, $A,$ of $x,$ $y$ and $z$ by computing the average of $x$ and $y,$ and then computing the average of the result and $z.$ Whenever $x\lt y\lt z,$ the student’s final result is
correct
always less than $A$
always greater than $A$
sometimes less than $A$ and sometimes equal to $A$
sometimes greater than $A$ and sometimes equal to $A$