Difference between revisions of "1994 AHSME Problems/Problem 24"
(Created page with "==Problem== A sample consisting of five observations has an arithmetic mean of <math>10</math> and a median of <math>12</math>. The smallest value that the range (largest observa...") |
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<math> \textbf{(A)}\ 2 \qquad\textbf{(B)}\ 3 \qquad\textbf{(C)}\ 5 \qquad\textbf{(D)}\ 7 \qquad\textbf{(E)}\ 10 </math> | <math> \textbf{(A)}\ 2 \qquad\textbf{(B)}\ 3 \qquad\textbf{(C)}\ 5 \qquad\textbf{(D)}\ 7 \qquad\textbf{(E)}\ 10 </math> | ||
==Solution== | ==Solution== | ||
| + | The minimum range occurs in the set <math>\{7,7,12,12,12\}</math>, so the answer is <math>\boxed{\textbf{(C)}\ 5}</math> | ||
Revision as of 12:54, 15 February 2016
Problem
A sample consisting of five observations has an arithmetic mean of 
and a median of 
. The smallest value that the range (largest observation minus smallest) can assume for such a sample is
Solution
The minimum range occurs in the set 
, so the answer is 
