SOLUTION: Kim just finished a routine in a gymnastics contest. There were 7 judges and each judge gave an integer score from 1 to 10. Kim received a mean of 8.0 from the 7 judges. However, i

Algebra ->  Average -> SOLUTION: Kim just finished a routine in a gymnastics contest. There were 7 judges and each judge gave an integer score from 1 to 10. Kim received a mean of 8.0 from the 7 judges. However, i      Log On


   

Question 1121376: Kim just finished a routine in a gymnastics contest. There were 7 judges and each judge gave an integer score from 1 to 10. Kim received a mean of 8.0 from the 7 judges. However, if the highest and lowest scores were removed, the mean of the 5 remaining scores would be 8.2. What was the lowest possible score that Kim could have received?
Answer by solver91311(24713) About Me  (Show Source):
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If 8.0 was the mean of 7 scores, then the total of the 7 scores must have been 56. If 8.2 was the mean of 5 scores, then the total of the 5 scores must have been 41. Therefore, the total of the highest score of the 7 plus the lowest score of the 7 must have been 15 (56 minus 41). Since the most the highest score could have been was 10, the least the smallest score could have been was 5.


John

My calculator said it, I believe it, that settles it