SOLUTION: A teacher allows the students to each throw out their lowest test score in order to increase their overall grade. The original mean score of 5 tests is 75.2 After the removal of th

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Question 251781: A teacher allows the students to each throw out their lowest test score in order to increase their overall grade. The original mean score of 5 tests is 75.2 After the removal of the lowest test, the mean score becomes 80.25. What is the score of the removal test?
Answer by stanbon(75887) About Me  (Show Source):
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A teacher allows the students to each throw out their lowest test score in order to increase their overall grade. The original mean score of 5 tests is 75.2 After the removal of the lowest test, the mean score becomes 80.25. What is the score of the removal test?
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Original test score sum:
sum = 5*75.2 = 376 points
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Let "x" be the score that was removed.
Points remaining = 376-x
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Equation:
New average = (376-x)/4 = 80.25
376-x = 4*80.25
276-x = 321
x = -45
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The score thrown out was 45
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Cheers,
Stan H.