120PM12 - Midterm 1 Practice Problems Econometrics 120A 1...

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Midterm 1 Practice Problems - Econometrics 120A 1. The following is a list of average SAT scores for graduating seniors in different states State SAT Score Iowa 1810 Maine 1390 California 1510 Alabama 1680 Georgia 1470 South Dakota 1760 (a) What is the average SAT score across the listed states? (b) What is the median SAT score in the above list? (c) Is your answer to (b) the 50 th percentile of the sample? If yes, is your answer to (b) the only number that is a 50 th percentile? (d) The mean square deviation of the above sample is 24,189. What is the variance? (e) Are the variance and mean square deviation significantly different in your answer to (d)? Would you expect a similar result if you had a sample of all 50 states? 2. Suppose the daily temperature (in Fahrenheit) in San Diego is normally distributed with mean 70 and standard deviation 10. (a) What is the probability that it is hotter than 90 degrees? (b) What is the probability that it is colder than 50 degrees?

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