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

Explanation:

Step1: Identify the formula

The formula to find the number of standard - deviations (z - score) from the mean is $z=\frac{x-\mu}{\sigma}$, where $x$ is the data point, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Substitute the values

Given $\mu = 15$, $\sigma=4$, and $x = 25$. Substitute these values into the formula: $z=\frac{25 - 15}{4}$.

Step3: Calculate the result

First, calculate the numerator: $25-15 = 10$. Then, divide by the standard deviation: $\frac{10}{4}=2.5$.

Answer:

C. 2.5