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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 Spring '10
 M.Abajian
 Econometrics, Normal Distribution, Standard Deviation, San Diego, 50th percentile, SAT score, mean square deviation

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