Task C: Measuring Variability in a Data Set CCSS Addressed: S-ID.A.2 and S-ID.A.3 Jim has taken 4 exams in his Statistics class. Exam Score 1 92 2 84 3 96 4 100 a. Both the MAD (mean absolute deviation) and the standard deviation are commonly used to measure variability in a data set. Explain how the way the standard deviation is calculated is different than the way the MAD is calculated. b. Calculate the standard deviation of Jim's scores and explain how this value represents the variability in his test scores. c. Sally took the same exams and also had a mean score of 93. Both students' scores are displayed in the dot plots below. Without calculating. determine if Sally's standard deviation is larger than, smaller than or equal to the standard deviation for Jim's scores. Explain your reasoning. Scum [In] H I! \" il 09 noon d. Tom also took the same exams. His mean was 91 and his standard deviation was zero. What scores did Tom receive on his exams