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SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114

Statistics Nov 09, 2020

SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114. Use the empirical rule to answer the following questions.
a) What percentage of SAT scores is between 401 and 629?    
b) What percentage of SAT scores is between 515 and 743?  
c) About 95% of all SAT scores will fall between what two scores?  
d) According to the information presented, how common do you think it would be for someone to score 1000 on the SAT? Explain your answer using the empirical rule.  

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