Question

In Math class, the average score on Test is 87 points, with all students scoring within 1.8 points of the average. If x represents a student's score, write an equation that represents the minimum and maximum scores. |x − 87| = 1.8 |x + 87| = 1.8 |x − 1.8| = 87 |x + 1.8| = 87

Answer 1

The answer must be an equation that satisfies the following condition:

`\begin{gathered} x_1=\mu+\sigma \\ x_2=\mu-\sigma \end{gathered}`

Where ц is the average and σ is the standard deviation.

We can express both solutions in terms of absolute value and only one variable because:

`\begin{gathered} x-\mu=-\sigma \\ x-\mu=\sigma \end{gathered}`

Finally, the solution is

`|x-\mu|=\sigma`
`|x-87|=1.8`