Download 1-5 Learning Check - Mayfield City Schools

Math 3 Honors
1-5 Standardized Values & Percentiles Learning Check
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Name_______________________________
I can find and interpret standardized values
I can use the standard normal distribution to find probabilities and percentiles
1.
Actress Brooke Shields reportedly scored 608 on the math section
of the SAT (she later graduated from Princeton University).
When she took the SAT (early 1980s), the scores were approximately
normally distributed with an average on the math section of about 462
and a standard deviation of 100.
a.
How many standard deviations above the mean was her score?
b.
What was Brooke Shields’ percentile score on the math section of the SAT?
2.
The IQ scores on the Stanford-Binet intelligence test are approximately normal with mean 100
and standard deviation 15. Consider these lines from the movie Forrest Gump.
a.
How many standard deviations from the mean is Forrest’s IQ score?
b.
What percentage of people have a higher IQ than Forrest’s IQ?
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2.
Consider a population of men with a mean weight of 180 pounds and a standard deviation of 15
pounds and a population of women with a mean weight of 136 pounds and a standard deviation
of 12 pounds. Suppose a woman in her population weighs 106 lbs. What would be the
equivalent weight of a man in his population?