As the standard deviation gets larger, the z scores in the distribution gets smaller.
Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x \ is\ raw\ score,\mu\ is\ mean,\ \sigma\ is\ standard\ deviation[/tex]
Therefore the standard deviation is inversely proportional to the z score.
Therefore as the standard deviation gets larger, the z scores in the distribution gets smaller.
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