Difference between revisions of "1994 AHSME Problems/Problem 24"
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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> | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | {{AHSME box|year=1994|num-b=23|num-a=25}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 02:36, 28 May 2021
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 
See Also
| 1994 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 23 |
Followed by Problem 25 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
