Measures of Central Tendency 1. In your own words, define and discuss the importance of measures of central tendency in statistical analyses. 2. Complete the following problem: In a study of parole board decision making in a Midwestern state, offenders were measured on the number of previous incarcerations. The data is presented below. a) Calculate the mode, median and mean. b) What is the shape of this distribution? c) What explains the distribution’s shape? Prior Incarcerations (x) Frequency (f) 6 1 5 2 4 3 3 15 2 35 1 85 0 312 Hint: Think very carefully about the formula you use for this problem.
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