Download Normal Curve Computations AP STATISTICS Name

NAME: _________________________________
DATE: ______________________
AP/ACC Statistics – BLOCK 8
Normal Curve Computations
For each set-up, draw a picture first. Then underneath each one, if you use your calculator, write
down the command you are putting in the calculator.
The heights of adult females in the United States are normally distributed with a mean of 64.5 inches and
a standard deviation of 2.5 inches. Draw a picture.
________________ 1. At least how tall are the tallest 10% of women?
_______________ 2. To be at the first quartile, a woman must be how many inches tall?
_______________ 3. A woman who is 67 inches tall is taller than what percent of women?
_______________ 4. A woman who is 62 inches tall is shorter than what percent of women?
The heights of adult men in the United States are normally distributed with a mean of 69 inches and a
standard deviation of 2.5 inches. Draw a picture.
_______________ 5. The middle 40% of men are between what heights?
_______________ 6. What percent of men are shorter than 64.5 inches?
_______________ 7. A man at the 70th percentile is how tall?
_______________ 8. What proportion of men are taller than 75 inches?
Adult intelligence scores are normally distributed with a mean of 110 and a standard deviation of 25.
_______________ 9. Between what two scores is the middle 50% of scores?
_______________10. A person with a score of 140 is in what percentile?
_______________11. What is the relative frequency of persons with scores above 120?
_______________12. The top 20% of persons have a least what score?
The gestation period of human beings is normally distributed with a mean of 266 days and a standard
deviation of 16 days.
_______________13. 27% of all pregnancies last less than how many days?
_______________14. 275 days is longer than what percent of human pregnancies?