b) Calculate the percentile score for 20.5 (0.5 marks). c) What percentage of the population would be expected to have a score greater than 27.8? (0.5 marks). d) What score would be the 75th percentile for this dataset (0.5 marks). e) If the SD increased to 5.7, what would the distribution look like (use visuals if necessary). (1 mark). f) If the mean decreases to 21, how would this change the distribution (use visuals if necessary) (1 mark) 3. (4 marks) Given a set of data where mean = 24, SD = 4.1. For full marks, show work when answering a-e. a) Calculate the z score for 20.5 (0.5 marks).