In a recent issue of the IEEE Spectrum, 84 engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted ve days. Four lasted six days. One lasted seven days. One lasted eight days. One lasted nine days. Let X = the length (in days) of an engineering conference. a. Organize the data in a chart. (You don't need to show this chart.) b. Find the median, the rst quartile, and the third quartile. c. Find the 65th percentile. d. Find the 10th percentile. e. The middle 50% of the conferences last from _______ days to _______ days. f. Calculate the sample mean of days of engineering conferences. g. Calculate the sample standard deviation of days of engineering conferences. h. Find the mode. If you were planning an engineering conference, which would you choose as the length of the conference: mean; median; or mode? Explain why you made that choice. . Give two reasons why you think that three to ve days seem to be popular lengths of engineering conferences