2013 AMC8 Problem 5

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Hammie is in the $$6^\text{th}$$ grade and weighs 106 pounds. Her 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?

$$\textbf{(A)}\ \text{median, by 60} \\ \textbf{(B)}\ \text{median, by 20} \\ \textbf{(C)}\ \text{average, by 5} \\ \textbf{(D)}\ \text{average, by 15} \\\textbf{(E)}\ \text{average, by 20}$$