Question

In science class, the average score on a lab report is 82 points, with scores varying by 3.2 points from the average. If x represents a student's score, write an equation that represents the minimum and maximum scores.

|x − 3.2| = 82
|x + 3.2| = 82
|x − 82| = 3.2
|x + 82| = 3.2

Answer 1

Explanation:

The average score on the lab report is 82 points, and the scores vary by 3.2 points from the average. This means that the minimum score would be 82 - 3.2, and the maximum score would be 82 + 3.2.

So, the equation that represents the minimum and maximum scores is:

\(82 - 3.2 \leq x \leq 82 + 3.2\)

This equation indicates that \(x\) (the student's score) should be within the range of 78.8 (82 - 3.2) to 85.2 (82 + 3.2) to be considered within one standard deviation of the average score.