2. In a nationally administered standardized test, the mean was 1000 and the standard deviation was 75. You got a 1180 on the test. What percent of the people who took the test did worse than you?
This is a bell shaped curve problem. In order to use the table for the bell shaped curve, you first need to convert your score to a z-score. Use the formula
This gives us
This z score corresponds to an area of .9918 in the table. So 99.18% of the people who took the test did worse than you did.