6. The data set below contains the number of partners in a cohort of rising accounting firms that have been tagged as "firms to watch." Complete parts (a) thro below. 32 31 16 19 16 14 19 34 27 27 30 18 17 0 31 14 12 22 18 10 24 16 10 26 27 13 29 33 24 24 16 21 26 34 16 19 a. Compute the mean, median, and the mode. The mean is (Round to two decimal places as needed.) The median is (Round to two decimal places as needed.) What is the mode? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The mode(s) is/are (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. There is no mode for this data set. b. Calculate the variance, standard deviation, range, coefficient of variation, and Z scores. Are there any outliers? Explain. The variance is (Round to two decimal places as needed.) The standard deviation is (Round to two decimal places as needed.) The range is (Round to two decimal places as needed.) The coefficient of variation is %. (Round to two decimal places as needed.) Compute the Z scores for the first seven values. Data (X) Z Score Compute the Z scores for the next seven values. Data (X) Z Score 32 10 31 26 16 27 13 19 29 16 33 14 24 (Round to two decimal places as needed.) 19 (Round to two decimal places as needed.) Compute the Z scores for the last seven values Data (X) Z Score Compute the Z scores for the next seven values 24 16 Data (X) Z Score 21 34 26 34 27 16 27 19 30 (Round to two decimal places as needed.) 18 Are there any outliers? 17 A. Yes, since there is at least one Z score that is less than - 3.0 or greater than + 3.0. 31 O B. No, since there are no Z scores that are less than - 3.0 or greater than + 3.0. (Round to two decimal places as needed.) O C. No, since there is at least one Z score that is less than - 3.0 or greater than + 3.0. D. Yes, since there are no Z scores that are less than - 3.0 or greater than + 3.0. Compute the Z scores for the next seven values C. Are the data skewed? If so, how? Data (X) Z Score 14 O A. Yes, the data are right-skewed bed use the mean is greater than the median. O B. No, the data are not skewed be lian are equal. 12 C. Yes, the data are left-ske e mean is less than the median 22 D. There is not enough information ness of the distribution. 18 d. Based on the results of (a) through (c), w concerning the number of partners in rising accounting firms 10 24 A. The median would be a better in mber of partners in rising accounting firms. B. The mean would be a better indicator than the me 16 partners in rising accounting firms. O C. Both the mean and the median are accurate indicat number of partners in rising accounting firms. (Round to two decimal places as needed.) O D. Neither the mean nor the median are acc number of partners in rising accounting firms
