Self-Assessment Activity 3 1. A data set has a mean off 2 75 and a standard deviation of 11.5. Find the z score for each of the following. a. x285 b. x=95 c. x=50 d. x=75 A blood pressure test was given to 450 women ages 20 to 36. It showed that their mean systolic blood pressure was 119.4- mm Hg, with a standard deviation of 13.2 mm Hg. a. Determine the z-score. to the nearest hundredth, for a woman who had a systolic blood pressure reading of 110.5 mm Hg. b. The 2 - score for one woman was 2.15. What was her systolic blood pressure reading? The following data give the scores of 18 students in a Statistics class: 3. Calculate the values of the three quartiles. b. Find the percentile of a score of 82. 4. On a reading test, Shaylen's score of 455 was higher than the scores of 4256 of the 7210 students who took the test. Find the percentile, rounded to the nearest percent, for Shaylen's score. 5. The following table shows the number of prescriptions a doctor wrote each day for a 36-day period. Use the median procedure for finding quartiles to find the first, second, and third quartiles for the data. Number of Prescriptions Written per Day 8 7 11 9 10 14 12 14 12 14 14 10 14 10 8 15 8 9 10 7 14 12 7 15 9 11 13 10 12 10 16 16 10 8 15 12