A raw score that is 1 standard deviation above the mean of the raw score distribution will have a z score of 1.
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The area beyond a z score of 1.12 is the same as the area beyond a z score of 1.12.
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If the raw score distribution is very positively skewed, the standard deviation of the z transformed scores will not equal 1.
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The area under the normal curve represents the proportion of scores that are contained in the area.
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It is impossible to have a z score of 30.2.
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If the original raw score distribution has a mean that is not equal to zero, the mean of the z transformed scores will not equal zero either.
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For any z distribution of normally distributed scores, P50 is always equal to zero.
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The normal curve reaches the horizontal axis in 4 standard deviations above and below the mean.
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In a normal curve, the area contained between the mean and a score that is 2.30 standard deviations above the mean is 0.4893 of the total area.
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z scores allow comparison of variables that are measured on different scales.
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