Question 26
For the numbers $a,$ $b,$ $c,$ $d,$ $e$ define $m$ to be the arithmetic mean of all five numbers; $k$ to be the arithmetic mean of $a$ and $b;$ $l$ to be the arithmetic mean of $c,$ $d,$ and $e;$ and $p$ to be the arithmetic mean of $k$ and $l.$ Then, no matter how $a,$ $b,$ $c,$ $d,$ $e$ are chosen, we shall always have: