1. The following is a frequency distribution of grades for a statistics examination. Please calculate the 3 measures of central tendency (mean, mode, and median) and the 3 measures of variability (range, standard deviation, and variance. Include a graphic representation and explain why it is the best choice for this type of data. Examination Grade Frequency 40 - 49 3 50 - 59 5 60 - 69 11 70 - 79 22 80 - 89 15 90 - 99 6 2. The officer in charge of personnel was trying to choose an operator for a radar scope. The task was to detect enemy aircraft and sound the alarm; this requires sustained vigilance. Some selection had already been accomplished and of the three remaining recruits the most reliable was to be chosen as operator. In a sample of their proficiency the following reaction times were found. Calculate statistics that will allow you to choose the most consistent candidate. Scores are in seconds. Candidate A 1.4 2.6 1.7 3.4 2.6 Candidate B 1.9 2.7 1.3 2.7 3.1 Candidate C 1.5 3.0 2.7 2.6 1.9 3. The hourly wages of a sample of eight individuals is given below. Please calculate the 3 measures of central tendency (mean, mode, and median) and the 3 measures of variability (range, standard deviation, and variance. Include a graphic representation of the data & explain your choice for this type of data. Individual Hourly Wage ($) A 27 B 25 C 20 D 10 E 12 F 14 G 17 H 19