Question

# Round each z-score to the nearest hundredth. A data set has a mean of x = 6.8 and a standard deviation of 2.5. Find the z-score. x=6.2

Random variables
Round each z-score to the nearest hundredth.
A data set has a mean of
$$\displaystyle{x}={6.8}$$
and a standard deviation of 2.5. Find the z-score.
$$\displaystyle{x}={6.2}$$

2020-12-04
Obtain the Z-score for the random variable X value equals 6.2.
The Z-score for the random variable X value equals 6.2 is obtained below as follows:
Let X denote the random variable with the population mean 6.8 and the standard deviation of 2.5.
The required value is,
$$\displaystyle{Z}={\frac{{{X}-\mu}}{{\sigma}}}$$
$$\displaystyle={\frac{{{6.2}-{6.8}}}{{{2.5}}}}$$
$$\displaystyle={\frac{{-{0.6}}}{{{2.5}}}}=-{0.24}$$
The Z-score for the random variable X value equals 6.2 is -0.24.