Which equation shows the process of standardizing? \( \begin{array}{l}E(X)=n p \\ Z=(X-\mu) / \sigma \\ f(x)=1-(\sigma / \mu) \\ E(X)=\mu\end{array} \)
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The equation that shows the process of standardizing is \( Z=(X-\mu) / \sigma \). This formula transforms a raw score \( X \) from any normal distribution to a standard score (Z-score), allowing for comparison across different datasets, regardless of their original means or standard deviations. Standardization is widely used in various fields like psychology, education, and finance to normalize scores for better analysis. For example, in standardized testing, converting raw scores to Z-scores can provide a clearer understanding of a student's performance relative to their peers, helping educators pinpoint strengths and weaknesses effectively.
