MathDB

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

, and

e

are chosen, we shall always have: (A)\ m \equal{} p \qquad (B)\ m \ge p \qquad (C)\ m > p \qquad (D)\ m < p \qquad (E)\ \text{none of these}

Problem Statement