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IQ scores have a mean of 100 and a standard deviation of 15. What percentile corresponds...

IQ scores have a mean of 100 and a standard deviation of 15. What percentile corresponds to an IQ score of 115? Explain the steps you took to find the percentile.

Math   Statistics-And-Probability   
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Answer #1

Solution :

From the data given in the above problem we have to calculate the percentile

Now we have to consider X be the IQ scores.

Then from the data mean of X is ,and

standard deviation

Therefore the percentile corresponds to an IQ score of 115 is obtained by:

Here with the help of z -table we will get

Finally the percentile corresponds to an IQ score of 115 is 84th percentile.

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