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The given data shows the heights of a population of 300 males and females measured in cm.

Thez-scoreprovides an idea of how many standard deviations a data value is above or below the mean value. For a given sample, it has the following expression:

$Z=\frac{x-\stackrel{炉}{x}}{s}$

Here,

x is any data value.

$\stackrel{炉}{x}$ is the sample mean.

s is the sample standard deviation.

For example, a sample consists of time durations taken by a group of employees to complete a given task. The average time is equal to 14 minutes, and the standard deviation is equal to 5.4 minutes.

The z-score of a time duration equal to 7 minutes is equal to -1.29. Thus, it can be said that the time duration equal to 7 minutes is 1.29 standard deviations below the mean value.

The z-score value for a given value of height equal to 203 cm is obtained as 4.07.

This implies that the value of the height is4.07 standard deviations above the mean.