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.

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.