V. A focus group of 10 adults was chosen to evaluate the performance of candidate during a presidential debate. They were instructed to rate the candidate on two characteristics, knowledge and delivery, using a scale of 1 (poor) to 10 (superior). The ratings given the candidate were as follows: Rater Knowledge Rating Delivery Rating I J ABCDEROHLS 72 55 83 64 16 59.9 3,4,5,7,7,8,7, 8,88,5,5,6,150/15 5 5 5 F 8 6 71 G 6 4 5 8 7 6 Mode=8 Mean 59.9 5 a. Find the mode, the median, and the mean for the knowledge ratings. b. C. Find the mode, the median, and the mean for the delivery ratings. Made: 5 Mean: 15 On Which characteristic was the candidate rated more favorably? Why? VII. Compute the range, variance and standard deviation for months sentenced for both Judges. What can be said about both judges in terms of their sentencing? As an attorney for the defense, which Judge would you feel would give your client a fairer deal? Why? Here you have to know what's going on statistically speaking. What explanations could you give for the differences in sentencing by the two judges? Discuss the relationship between the standard deviation and the mean? Please use the raw score formula and not the mean deviation formula. VIII. Two students in a statistics class compared their scores on a series of five quizzes: Considering the concepts of both central tendency and variability, find (2) which student tended to perform better on the quizzes and (b) which student tended to perform more consistently on the quizzes? Student A Student B 50 70 100 60 40 80 90 60 100 70