QuestionFind the percentile for a score of 156 given a mean of 120 and a standard deviation of 12.

Studdy Solution
Now that we have the z-score, we can use a z-table to find the percentile. A z-table provides the cumulative probability for a standard normal distribution (a distribution with a mean of0 and a standard deviation of1).The percentile is the percentage of scores that fall below a certain score in a distribution. In this case, we want to find the percentage of scores that fall below a z-score of3.
Looking up a z-score of3 in the z-table, we find that the cumulative probability is approximately0.9987. This means that approximately99.87% of scores fall below a z-score of3.
So, the person's score falls at the99.87th percentile, which is closest to the100th percentile among the given options.