coexpennan

2020-12-03

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.
$x=6.2$

davonliefI

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,
$Z=\frac{X-\mu }{\sigma }$
$=\frac{6.2-6.8}{2.5}$
$=\frac{-0.6}{2.5}=-0.24$
The Z-score for the random variable X value equals 6.2 is -0.24.

Jeffrey Jordon