on a standardized exam, the scores are normally distributed with a mean of 400 and a standard deviation of…
on a standardized exam, the scores are normally distributed with a mean of 400 and a standard deviation of 40. find the z - score of a person who scored 472 on the exam.
Answer
Explanation:
Step1: Identificar la fórmula del z - score
El z - score se calcula con la fórmula $z=\frac{x-\mu}{\sigma}$, donde $x$ es el valor individual, $\mu$ es la media y $\sigma$ es la desviación estándar.
Step2: Sustituir valores dados
Dado que $\mu = 400$, $\sigma=40$ y $x = 472$, entonces $z=\frac{472 - 400}{40}$.
Step3: Realizar el cálculo
$z=\frac{72}{40}=1.8$
Answer:
$1.8$