In a certain school district in a large metropolitan area, the SAT scores over that past five years are normally distributed with a mean of 1461. Furthermore, Q1 is 1261.
For a normal distribution, what is the z-score for the 25-th percentile? z = (Enter answer rounded to three decimal places.)
Using this information, what is the standard deviation of this population of SAT scores? sigma = (Enter answer rounded to the nearest whole number.)
For a normal distribution, what is the z-score for the 98-th percentile? z = (Enter answer rounded to three decimal places.)
Now, use all of the information to determine what the P98 score is for this population? P98= (Enter answer rounded to the nearest whole number.)