4) A psychiatrist has developed a measurement instrument for the mental state of patients. The test is on a scale of 0-100 (with higher scores meaning the patient is suffering from a higher level of mental duress). She randomly selects a group of individuals to take part in a study using this measurement instrument, and she develops a stem-and-leaf plot of her data as follows: 016 |1178 WNP 0017899 4 12 5 67788999 |114444499 8 869 9 101 Based on the stem-and-leaf plot, answer the following questions: a. What is the mean, median and mode? b. What is the range, variance and standard deviation? c. What is the 25 percentile? What is the interpretation of this value? d. What is the 75* percentile? What is the interpretation of this value? e. What is the interquartile range (IQR)? f. What is the z-score for a patient that scores 88? What is the interpretation of this z score