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What do z-scores denote?


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What do z-scores denote?
in Data Science & Statistics by ♦ Platinum (93,241 points) | 212 views

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Z-Score denotes the number of standard deviations a data value \(x_{i}\) is from the mean.

\[Z_{i}=\frac{x_{i}-\bar{x}}{s}\]

z-score

An observation's z-score is a measure of the relative location of the observation in a data set.
An observations' data value greater than the sample mean will have a zscore greater than zero.

An observation's data value less than the sample mean will have a z-score less than zero.

An observation's data value equal to the sample mean will have a z-score of zero.

 

by ♦ Platinum (93,241 points)

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