Question

The average test score in a class is 78%. Half of the class scored within 8 points of the average. One student received a score of x%. Which shows an expression that could be used to determine how far the student’s score is from the average?
A |78 – 8| B |x| – 78 C |x – 78| D 78 – |8|

Answer 1

Here, we are required to determine how far the student described in the question is from the average.

The correct answer is Choice C: |x – 78|.

According to the question; the student received a score of x%.

As such, x% may either be greater or lesser than the average score, 78%.

• To determine how far the student's score is from the average, we need to take the difference between the student's score and the average score; i.e. (x - 78)

• This difference may however be negative: As such, there's need to take the absolute value of (x - 78) which yields |x – 78|.

Therefore, the expression that could be used to determine how far the student’s score is from the average is; |x – 78|

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