What are the steps I should include when the question asks me to find the percentile of a certain value when the mean and standard deviation is given?
Hi James,
Thank you for your question.
Here are the steps you need to include:
Draw the normal distribution curve. This does not have to be a perfect curve, but you should label it as N(mean, standard deviation)
Draw a vertical line that corresponds to the certain value in the normal distribution curve and shade the area you want to find.
Include steps to calculate the z-score for the certain value. (x - mean) / (standard deviation)
Show your answer. (Like this: P ( x < 50 ) = 0.47 = 47%, Hence, x is at 47% percentile)
Does this answer your question?