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

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) (Show Source): You can put this solution on YOUR website!
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?
----------------------------------------
Original test score sum:
sum = 5*75.2 = 376 points
-----------------------------------
Let "x" be the score that was removed.
Points remaining = 376-x
------------
Equation:
New average = (376-x)/4 = 80.25
376-x = 4*80.25
276-x = 321
x = -45
------------
The score thrown out was 45
---------------
Cheers,
Stan H.
RELATED QUESTIONS
A teacher allows the students to each "throw out" their lowest test scores in order to... (answered by stanbon)

A teacher is grading science tests for a class of 20 students. Each student can score... (answered by Boreal)

6. A psychology professor of a large class became curious as to whether the students who... (answered by Boreal)

Your math teacher found a pattern in how long students study versus their percentage... (answered by stanbon)

You have scored 75, 79, 78, and 78 in four test out of five test. You want to score an... (answered by rfer)

This year in math the teacher will be giving 5 tests, each scored out of 100. If Heather... (answered by stanbon)

this year in math the teacher will be giving 5 tests, each scored out of 100. if heather... (answered by JBarnum)