MathDB
Arithmetic Mean

Source: AHSME 1963 Problem 11

January 9, 2014
AMC

Problem Statement

The arithmetic mean of a set of 5050 numbers is 3838. If two numbers of the set, namely 4545 and 5555, are discarded, the arithmetic mean of the remaining set of numbers is:
<spanclass=latexbold>(A)</span> 38.5<spanclass=latexbold>(B)</span> 37.5<spanclass=latexbold>(C)</span> 37<spanclass=latexbold>(D)</span> 36.5<spanclass=latexbold>(E)</span> 36<span class='latex-bold'>(A)</span>\ 38.5 \qquad <span class='latex-bold'>(B)</span>\ 37.5 \qquad <span class='latex-bold'>(C)</span>\ 37 \qquad <span class='latex-bold'>(D)</span>\ 36.5 \qquad <span class='latex-bold'>(E)</span>\ 36