a normal distribution of data has a mean of 15 and a standard deviation of 4. how many standard deviations…

a normal distribution of data has a mean of 15 and a standard deviation of 4. how many standard deviations from the mean is 25? 0.16 0.4 2.5 6.25

a normal distribution of data has a mean of 15 and a standard deviation of 4. how many standard deviations from the mean is 25? 0.16 0.4 2.5 6.25

Answer

Answer:

C. 2.5

Explanation:

Step1: Identificar la fórmula

El número de desviaciones estándar $z$ se calcula con la fórmula $z=\frac{x - \mu}{\sigma}$, donde $x$ es el valor, $\mu$ es la media y $\sigma$ es la desviación estándar.

Step2: Sustituir valores

Dado que $\mu = 15$, $\sigma=4$ y $x = 25$, entonces $z=\frac{25 - 15}{4}$.

Step3: Realizar el cálculo

$z=\frac{10}{4}=2.5$.