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
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!
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
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.
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.
Hi Mary! I'll be happy to help you with this problem and guide you through the calculations.
To find the percentile rank of a person who scored 600 on the SAT within the population, you'll need to use the concept of standard deviation and the z-score.
The first step is to calculate the z-score. The z-score measures the number of standard deviations a particular data point is from the mean. The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the given score (600), μ is the mean score (500), and σ is the standard deviation (100).
Let's calculate the z-score:
z = (600 - 500) / 100
z = 100 / 100
z = 1
Now that you have the z-score, you can find the percentile rank using a standard normal distribution table or a calculator.
The percentile rank represents the percentage of scores that fall below a given score. Since the SAT scores are approximately normally distributed, we can use the standard normal distribution table to find the percentile rank.
Looking at the standard normal distribution table, a z-score of 1 corresponds to a percentile rank of approximately 84.13%.
Therefore, a person who scores 600 on the SAT would have an approximate percentile rank of 84.13% within the population.
I hope this explanation helps! If you have any further questions, feel free to ask.