3. We'll examine the results of the 2014-2015 SAT math exam with a mean of 501 and standard deviation of 117, as reported in Table 5.1.
Table 5.1: 2014-2015 SAT Component Means and Standard Deviations for High School Seniors
Number of Test Takers | Critical Reading Mean | Critical Reading Standard Deviation | Mathematics Mean | Mathematics Standard Deviation | Writing Mean | Writing Standard Deviation
1,108,165 | 485 | 110 | 501 | 117 | 475 | 109
Source: College Board, 2015 College-Bound Seniors Total Group Profile Report, Table 3. 2015. The College Board. www.collegeboard.org.
a. What percentage of seniors scored lower than 290 on the math SAT?
b. What percentage scored between 625 and 675 points?
c. Your score is 700. What is your percentile rank?