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# Why would standard z having no units of measurements be desirable for comparing data sets with different units of measurements?

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asked 2020-11-27
Why would standard z having no units of measurements be desirable for comparing data sets with different units of measurements?

## Answers (1)

2020-11-28
Step 1
The Z-score is measured in terms of standard deviations from the mean. It is the statistical measurement of score’s relationship to the mean in the group of score’s. If the Z-score is ), the data point score is identical to the mean score.
Step 2
$$Z=\frac{x-\mu}{\sigma}$$
Step 3
It is used to compare different data sets with different means and sd (standard deviations). It's a universal compare for normal distribution in statistics.z score shows how far away a single data point is from the mean relatively. Lower z score means closer to the meanwhile higher means more far away. Hence .z-scores are desirable for comparing data sets with different units of measurement.

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