# statistics

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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 -

23% of the population is below x = 64, if that is what you mean.

for how I got that.

• statistics -

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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