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

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) (Show Source): You can put this solution on YOUR website!

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

RELATED QUESTIONS
The first five figure skating judges gave Dora scores of 7.2, 7.3, 7.7, 7.8, and 7.5.... (answered by doukungfoo)

Hello. I am not sure how to do this problem. There was a pet photo contest. 7 of the... (answered by solver91311)

the judges at marcys skating competition gave her scores of 9.6 9.2 9.4 and 9.3 what... (answered by oberobic)

A panel of 7 judges is to decide which of 2 final contestants (A and B) in a beauty... (answered by math_tutor2020)

In judging a sporting event, there are 3 judges. Each of these judges holds up a number,... (answered by richard1234)

A.Two judges used a scale 0 - 10 to independently rate the performances of 8... (answered by MathLover1)

There are 90 students in a speech contest. Yesterday, 1/5 of them gave their speeches.... (answered by Boreal)

The average monthly sales of 5000 firms are normally distributed with mean Rs. 36,000 and (answered by Fombitz)

A friend work at a major chicago hospital. let C=1 if a patient judges a doctor to be... (answered by stanbon)