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

foass77W

foass77W

Answered question

2020-11-27

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

Answer & Explanation

Willie

Willie

Skilled2020-11-28Added 95 answers

Step 1
Standard deviations from the mean serve as a unit of measurement for the Z-score. It is a statistical evaluation of how closely a score varies from the group mean. The data point score and mean score are the same if the Z-score is).
Step 2
Z=xμσ
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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