The score that you need to score on the final paper to receive a 90 is 92.
The average of a set of numbers is the sum of the numbers divided by the total numbers in the dataset. Average is a measure of central tendency. Average is also known as mean.
Average = sum of numbers / total numbers
In this question, the average is 90. You have already written five tests and the score on your sixth test has to be determined.
90 = (88 + 87 + 91 + 89 + 93 + x ) / 6
Where x is the score on the sixth test
We are to solve for x. To do this, take the following steps:
Multiply both sides of the equation by 9
90 x 6 = (88 + 87 + 91 + 89 + 93 + x )
540 = (88 + 87 + 91 + 89 + 93 + x )
Add similar terms together : (88 + 87 + 91 + 89 + 93 + x ) = 448 + x
540 = 448 + x
Subtract 448 from both sides of the equation: 540 - 448 = x
x = 92
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