Question: The standard deviation of a group of 40 students’ test scores was calculated as 6.5 points on a 100 point test and the mean of their distribution of scores was 75.5 points. Calculate the z value associated with each of the following students’ scores. Please round each answer to the second decimal place, i.e. x.xx.

Using normal language that a non-statistically educated person could understand, explain what you calculated in 3 a. In other words, what is a ‘z score’ and what is it useful for? Brief essay: 5 points.