MathDB
1994 AMC 12 #24

Source:

December 30, 2011
AMC

Problem Statement

A sample consisting of five observations has an arithmetic mean of 1010 and a median of 1212. The smallest value that the range (largest observation minus smallest) can assume for such a sample is
<spanclass=latexbold>(A)</span> 2<spanclass=latexbold>(B)</span> 3<spanclass=latexbold>(C)</span> 5<spanclass=latexbold>(D)</span> 7<spanclass=latexbold>(E)</span> 10 <span class='latex-bold'>(A)</span>\ 2 \qquad<span class='latex-bold'>(B)</span>\ 3 \qquad<span class='latex-bold'>(C)</span>\ 5 \qquad<span class='latex-bold'>(D)</span>\ 7 \qquad<span class='latex-bold'>(E)</span>\ 10