A mean average of 60 on 6 exams is needed to pass a class my scores are
50, 71,76,57, 66 what grade must I make on the last exam to pass the course
6 * 60 = 360
You need a total of 360 points.
Add up the points you now have and subtract the sum from 360.
x1 = 50 = score of first exam
x2 = 71 = score of second exam
x3 = 76 = score of third exam
x4 = 57 = score of fourth exam
x5 = 56 = score of fifth exam
x6 = score of sixth exam
Average of of 6 exams = ( x1 + x2 + x3 + x4 + x5 + x6 ) / 6 =
( 50 + 71 + 76 + 57 + 56 + x6 ) / 6 = ( 310 + x6 ) / 6
You need average 60 so:
( 310 + x6 ) / 6 = 60
Multiply both sides by 6
310 + x6 = 360
Subtract 310 to both sides
x6 = 50
Proof:
( 50 + 71 + 76 + 57 + 56 + 50 ) / 6 = 360 / 6 = 60
To find out the grade you must make on the last exam to pass the course, we can calculate the average of all your exam scores and then determine the score needed on the last exam.
First, let's calculate the sum of your current scores:
Sum = 50 + 71 + 76 + 57 + 66
Next, we'll calculate the average of your current scores:
Average = Sum / 5
Now, we have to assume that the last exam weighs the same as the other exams. Since you need a mean average of 60 on 6 exams to pass the class, we can set up the following equation:
(50 + 71 + 76 + 57 + 66 + x) / 6 = 60
Simplifying the equation:
(320 + x) / 6 = 60
Multiplying both sides by 6:
320 + x = 360
Subtracting 320 from both sides:
x = 40
Therefore, you need to make a grade of at least 40 on the last exam to pass the course.