MathDB
2013/8/5/Mean vs. median

Source:

November 27, 2013
AMC

Problem Statement

Hammie is in the 6th6^\text{th} grade and weighs 106 pounds. His quadruplet sisters are tiny babies and weigh 5, 5, 6, and 8 pounds. Which is greater, the average (mean) weight of these five children or the median weight, and by how many pounds?
<spanclass=′latex−bold′>(A)</span> median, by 60<spanclass=′latex−bold′>(B)</span> median, by 20<spanclass=′latex−bold′>(C)</span> average, by 5<spanclass=′latex−bold′>(D)</span> average, by 15<span class='latex-bold'>(A)</span>\ \text{median, by 60} \qquad <span class='latex-bold'>(B)</span>\ \text{median, by 20} \qquad <span class='latex-bold'>(C)</span>\ \text{average, by 5} \qquad <span class='latex-bold'>(D)</span>\ \text{average, by 15} \\ <spanclass=′latex−bold′>(E)</span> average, by 20<span class='latex-bold'>(E)</span>\ \text{average, by 20}
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