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Mean Quest (Posted on 2006-12-10) Difficulty: 3 of 5
When asked what her math average was, a student coyly responded: "I've taken four tests to date and when I add the highest score with my lowest score and divide the result by the sum of my other two scores, I get a ratio of 1.4"

Assuming all scores are equally weighted and each grade is a real number between 0 and 100 inclusive, find four scores that produce the highest possible average (arithmetic mean), and show that a higher average is not possible.

See The Solution Submitted by Dennis    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
answerK Sengupta2008-12-30 03:47:49
re(3): A and D don't matterAvalonXQ2007-01-07 02:18:25
re(2): A and D don't matterSteve Herman2006-12-14 23:12:41
re: An off topic question about formattingCharlie2006-12-11 11:11:15
Questionre: A and D don't matterCharlie2006-12-11 09:34:36
A and D don't matterSteve Herman2006-12-11 09:08:37
re(4): Question.Bractals2006-12-10 13:31:08
Some ThoughtsSolution for Integer ScoresBractals2006-12-10 13:23:43
re(3): Question.tomarken2006-12-10 13:22:16
re(2): Question.Bractals2006-12-10 13:18:26
re: Question.John Reid2006-12-10 13:11:48
QuestionQuestion.Bractals2006-12-10 13:05:16
QuestionAn off topic question about formattingJohn Reid2006-12-10 12:47:57
re: SolutionJohn Reid2006-12-10 12:44:05
SolutionSolutiontomarken2006-12-10 11:42:30
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