AMC 8 2013 Problem 5

Hammie is in $6^\text{th}$ 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? $\textbf{(A)}\ \text{median, by 60} \textbf{(B)}\ \text{median, by 20} \textbf{(C)}\ \text{average, by 5} \textbf{(D)}\ \text{average, by 15} \textbf{(E)}\ \text{average, by 20}$