MATH 108
MATH 109 Worksheet : Normal Approximation
Part 1 : You have data on the IQ scores of 3rd graders tested nationally. You find that the IQ scores are normally distributed with an average of 100 and a standard deviation of 15.
1. Approximately what percent of IQ scores are between 85 and 115 ?
2. Approximately what percent of IQ scores are greater that 85 ?
3. Approximately what percent of IQ scores are between 79 and 133 ?
4. Approximately what percent of IQ scores are less than 79 ?
5. Approximately what percent of IQ scores are between 115 and 133 ?
6. Approximately what percent of IQ scores are exactly 100 ?
7. Approximately what percent of IQ scores are exactly 79 ?
8. Approximately what is the percentile rank for a raw score of 100 ?
9. Approximately what is the percentile for a raw score of 133
10. Approximately what is the 50%-tile IQ score ?
11. Approximately what is the 90%-tile IQ score ?
12. Approximately what is the 30%-tile IQ score ?
13. Approximately what is the 75%-tile IQ score ?
14. Approximately what is the 25%-tile IQ score ?
15. Approximately what is the Interquartile Range of IQ scores ?
16. Approximately what percent of IQ scores are greater than 150 ?
17. Approximately what percent of IQ scores are greater than 190 ?
Part 2 : The weights of a large population of college males are normally distributed with an average of 173 pounds and a standard deviation of 20 pounds.
1. What percent of college males weigh between 166 lb. and 180 lb. ?
2. What percent of college males weigh more than 180 lb.?
3. What percent of college males weigh between 150 lb. And 180 lb. ?
4. What percent of college males weigh exactly 152 lb.?
5. What percent of college males weigh less than 200 lb.?
6. What is the 30%-tile weight for college males ?
7. Approximate the percentile rank for a college male who weighs 190 lb.
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