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IQ scores are known to be normally distributed with a mean of 100 and a standard...

IQ scores are known to be normally distributed with a mean of 100 and a standard deviation of 16.

a. Determine the percentage of students who score between 85 and 120.

b. Determine the percentage of students who score 80 or greater.

c. Obtain the quartiles, Q1, Q2, and Q3 for the IQ scores, and show this on a sketch of a normal curve. Include both a z-axis and an x-axis below the curve.

d. If Mensa only accepts the top 2% of all IQ’s, how high would your IQ have to be to be admitted?

e. If 8500 people were randomly selected and this population had approximately a normal distribution of IQ scores, how many of these people could we expect to have IQ’s over 125?

Math   Statistics-And-Probability   
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