MathDB
Range, mean, mode, and median

Source:

November 21, 2005

Problem Statement

A list of five positive integers has mean 1212 and range 1818. The mode and median are both 88. How many different values are possible for the second largest element of the list?
<spanclass=latexbold>(A)</span> 4<spanclass=latexbold>(B)</span> 6<spanclass=latexbold>(C)</span> 8<spanclass=latexbold>(D)</span> 10<spanclass=latexbold>(E)</span> 12<span class='latex-bold'>(A)</span>\ 4\qquad <span class='latex-bold'>(B)</span>\ 6 \qquad <span class='latex-bold'>(C)</span>\ 8\qquad <span class='latex-bold'>(D)</span>\ 10\qquad <span class='latex-bold'>(E)</span>\ 12