SOLUTION: Seven judges graded Joshua.s science project, and the mean of those seven scores was 8.0. Scores could be any integer value 1-10. When the highest and lowest scores were removed, t
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Question 220635: Seven judges graded Joshua.s science project, and the mean of those seven scores was 8.0. Scores could be any integer value 1-10. When the highest and lowest scores were removed, the mean of the five remaining scores was 7.8. What was the least possible score that could have been removed?
You can put this solution on YOUR website! n = 7
m = 8
range = 1 to 10
high = h
low = l
n = 5
m = 7.8
least possible score to remove
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T1 = 7*8 = 56
T2 = 5*7.8 = 39
R = 56-39 = 17
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H + L = 17
L = 17 - H
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highest score is 10
L = 17 - 10 = 7
lowest score had to be 7
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the average times the number of items equals the total score
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7 * 8 = 56 total score
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5 * 7.8 = 39 total score
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difference between 7 and 5 is 2
difference between 56 and 39 is 17
2 papers had to have a total score of 17
lowest score plus highest score had to add up to 17.
lowest score could not be lower than 7 because that would make the highest score greater than 10 which is not possible.
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