Posted by **marie** on Friday, August 20, 2010 at 12:35am.

the random variable x is normally distributed with a mean of 75 and a standard deviation of 15.0. For this distribution, what is the twenty-third percentile?

- statistics -
**drwls**, Friday, August 20, 2010 at 7:32am
23% of the population is below x = 64, if that is what you mean.

See http://psych.colorado.edu/~mcclella/java/normal/accurateNormal.html

for how I got that.

- statistics -
**PsyDAG**, Friday, August 20, 2010 at 11:06am
Z = (score-mean)/SD

If you do not have a computer available, find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion to help you find the above Z score and then the specific score.

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