Determine and Interpret z-Scores
-Find the z-score for the value 83, when the mean is 59 and the standard deviation is 6.
A) $z = 4.00$
B) $z = 3.83$
C) $z = - 1.31$
D) $z = 1.31$

Question

Determine and Interpret z-Scores
-Find the z-score for the value 83, when the mean is 59 and the standard deviation is 6. 
A) $z = 4.00$
B) $z = 3.83$
C) $z = - 1.31$
D) $z = 1.31$

Quizplus · Accepted Answer

The z-score is calculated using the formula $z = \frac{(X - \mu)}{\sigma}$, where $X$ is the value, $\mu$ is the mean, and $\sigma$ is the standard deviation. Substituting the given values, $z = \frac{(83 - 59)}{6} = \frac{24}{6} = 4.00$.

Determine and Interpret Z-Scores -Find the Z-Score for the Value z=4.00z = 4.00z=4.00

Determine and Interpret Z-Scores
-Find the Z-Score for the Value $z = 4.00$