1962 AHSME Problem 8

Given the set of n numbers; n > 1, of which one is 1 - \frac {1}{n} and all the others are 1. The arithmetic mean of the n numbers is:

\textbf{(A)}\ 1 \qquad \textbf{(B)}\ n - \frac {1}{n} \qquad \textbf{(C)}\ n - \frac {1}{n^2} \qquad \textbf{(D)}\ 1-\frac{1}{n^2}\qquad \textbf{(E)}\ 1-\frac{1}{n}-\frac{1}{n^2}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.