Question

The formula for calculating a z-score is: z=x−μ/σ
where:

x is the data value

μ is the mean

σ is the standard deviation

Given a population mean of 135 , a data value of 129 , and a standard deviation of 5,determine the z-score.

(4 points)
Identify the variables in the given problem.

x=


μ=


σ=


z-score =

Answer 1

To calculate the z-score using the formula \( z = \frac{x - \mu}{\sigma} \), we first identify the variables given in the problem:

1. \( x = 129 \) (the data value)
2. \( \mu = 135 \) (the population mean)
3. \( \sigma = 5 \) (the standard deviation)

Now we can use these values to calculate the z-score:

\[
z = \frac{x - \mu}{\sigma} = \frac{129 - 135}{5} = \frac{-6}{5} = -1.2
\]

So, the z-score is:

**z-score = -1.2**