E O STATISTICS Mean, median, and mode: Comparisons 3/5 The following list contains the average annual total returns (in percentage points) for 23 mutual funds. The mutual funds appear in an online brokerage firm's "all-star" list. -5, -2, -1, 1, 3, 5, 7, 8, 11, 11, 12, 14, 15, 15, 16, 21, 21, 22, 28, 29, 31, 32, 37 Send data to calculator Frequency 8 _ 6- 5 5 4 3 2. 0- -10 0 10 20 30 40 Annual total return (in percent) Mean (a) Which measures of central tendency do O Median not exist for this data set? Choose all that apply. OMode None of these measures [b) Suppose that the measurement 37 (the Mean largest measurement in the data set) were Median replaced by 80. Which measures of central tendency would be affected by the change? O Mode Choose all that apply. None of these measures (c) Suppose that, starting with the original Mean data set, the smallest measurement were Median removed. Which measures of central tendency would be changed from those of Mode the original data set? Choose all that apply. None of these measures (d) Which of the following best describes the Negatively skewed distribution of the original data? Choose only O Positively skewed one. O Roughly symmetrical