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

2 answers

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