A sample of 200 people were given a test. The distribution of the test scores was mound shaped and symmetrical with a mean of 100. One person, whose test score was 125, was found to be at the 84th percentile.
a) What is the z-score of a person whose test score is 70?
b) Approximately how many people obtained scores between 65 and 85? (Hint: drawing a picture of the distribution may help you considerably)
c) Approximately how many people obtained scores greater than 135?
d) If each person's score was multiplied by 3, what would the test score be of a person who scored 1.2 standard deviation units from the mean?