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In a normal distribution of scores, the percentile rank of a students scoring at −1Z is :

In a standard normal distribution, 50% of the scores lie below the mean (Z = 0), and approximately 34.13% of the scores fall between the mean (Z = 0) and one standard…

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In a normal distribution of scores, the percentile rank of a students scoring at −1Z is :

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In a standard normal distribution, 50% of the scores lie below the mean (Z = 0), and approximately 34.13% of the scores fall between the mean (Z = 0) and one standard deviation below the mean (Z = -1.0). Therefore, the percentage of scores falling below Z = -1.0 is 50% - 34.13% = 15.87%, which rounds to a percentile rank of 16.

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