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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

Respuesta :

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

[tex]\begin{gathered} x_1=\mu+\sigma \\ x_2=\mu-\sigma \end{gathered}[/tex]

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:

[tex]\begin{gathered} x-\mu=-\sigma \\ x-\mu=\sigma \end{gathered}[/tex]

Finally, the solution is

[tex]|x-\mu|=\sigma[/tex][tex]|x-87|=1.8[/tex]

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