1992 AJHSME Problems/Problem 13
Revision as of 15:36, 2 August 2011 by Math Kirby (talk | contribs) (Created page with "== Problem == Five test scores have a mean (average score) of <math>90</math>, a median (middle score) of <math>91</math> and a mode (most frequent score) of <math>94</math>. T...")
Problem
Five test scores have a mean (average score) of 
, a median (middle score) of 
and a mode (most frequent score) of 
. The sum of the two lowest test scores is
Solution
Because there was an odd number of scores, must be the middle score. Since there are two scores above and appears the most frequent (so at least twice) and 
, appears twice. Also, the sum of the five numbers is 
. Thus, the sum of the lowest two scores is 
.
