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Chapter 12: Problem 79

What does a \(z\)-score measure?

Short Answer

Expert verified
A \(z\)-score measures how many standard deviations a particular data point deviates from the mean of a distribution. In a more general sense, it measures the statistical significance of a datum within its set.

Step by step solution

01

Understanding the Terminology

A \(z\)-score in a statistical analysis is a type of standard score that indicates how many standard deviations an observation or datum is from the mean. In other words, it explains how far a particular data point deviates from the mean of a distribution.
02

What a \(z\)-score measures

A \(z\)-score measures the deviation of a value from the mean in units of standard deviation. In other words, it tells you how unusually or typically an observation is given the context of the data set.
03

The Use of \(z\)-score in Data Analysis

The \(z\)-score is often used in exploring the data and answering questions about the data like how extreme the values are, which data points can be considered unusual, or how equivalent two individuals from different group or data can be made.

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