Question

sat scores around the nation tend to have a mean score around 500, a standard deviation of about 100 points and are approximately normal distribution. a person who scores 600 on the sat has approximately what percentile rank within the population. show all calculations.
* please help me show how problem was solved.. i am in panic and no one has shown me how to work out he problem. thank you very much and talk soon.
mary hornbeck

Answer 1

find the z-score! which will tell you how many standard deviation you are away from the mean.

formula: http://mathworld.wolfram.com/z-Score.html

Then, look at the z score table in order to find the probability that corresponds to the z-score you found. This will give you the percentile!

Answer 2

can you please show calculations. to the question listed as above. the more i look at the explanation, the more i get confused. thank you very much.
mary hornbeck

Answer 3

Cat can you please work out his problem because i am not sure if my answer is correct. can you show your calculations, please, please, please. thank you.

sat scores around the nation tend to have a mean score around 500, a standard deviation of about 100 points and are approximately normal distribution. a person who scores 600 on the sat has approximately what percentile rank within the population. show all calculations.

Answer 4

Mary,
I think it is time for you to review your class notes to understand what z-scores are related to probability. If you have difficulty working out the solution with the above help given, you will have the same problems in your exams coming up in a month or so.

If you happened to be absent from class on this subject, you can start with reading up your textbook, or other articles such as:
http://en.wikipedia.org/wiki/Standard_deviation

Repost if you have problems understanding the material.