Final exam scores in a mathematics course are normally distr

Final exam scores in a mathematics course are normally distributed with a mean of 80 and a standard deviation of 13. Based on the above information and a Z-table, fill in the blanks in the table below.

Precision and other notes: (1) Percentiles should be recorded in percentage form to three decimal places.
(2) Note that this problem does not use the rough values of the 68-95-99.7 rule (that is, the empirical rule); instead you must use more precise Z-table values for percentiles.

Solution

Consider the table:

If the x value is given, use z = (x - u)/sigma to get the z value, then use table/technology to get the percentile rank.

You can use x = u + z*sigma if z is given instead.