Raw scores

Raw scores on behavioral tests are often transformed for easier comparison. A test of reading ability,r has a mean of 75 and a standard deviation of It} when given to third-graders. Sixth- graders have a mean score ofBZ and a standard deviation of 11 on the same test. a. David is a third-grade student who scores 78 on the test. Nancyr is a sixth-grade student who scores 31 . Calculate the zseore for each student. who scored higher within his or her grade? '3. Suppose that the distribution of scores in each grade is Nomial. Determine the percentiles for David and Nancy. Interpret your results in context