Mitchell Stanley
06/22/2023 · Primary School

Converting an entire sample or population's raw scores into Z scores changes the shape of the distribution,

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Converting raw scores into Z scores does not change the shape of the distribution. Instead, it standardizes the scores, allowing for comparison across different distributions. When you convert raw scores to Z scores, you are essentially transforming the data so that it has a mean of 0 and a standard deviation of 1. This process maintains the relative positions of the scores within the distribution, meaning that the overall shape (e.g., normal, skewed, etc.) remains the same. In summary, while the values of the scores change, the distribution's shape does not change when converting raw scores to Z scores.

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Converting raw scores to Z scores does not change the shape of the distribution.
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