Question: Assume a normal distribution of 45 test scores had a standard deviation of 0.5% and a calculated mean of 70%, with no additional information, what would the estimated range of scores be? (Hint: You SHOULD NOT need a calculator for this.)

Simply going from what you should know about the standard normal curve’s characteristics, and assuming the group from which the student’s score was drawn was sufficiently large and there were no ‘outliers’ and assuming most of the assumptions of normality of the distribution of scores had been met, what could you say about how well a particular student who scored 75% on the exam in question 5 a did, relative to the other students in the class? (Hint: You SHOULD NOT need a calculator for this.) Worth 4 points.