In a recent issue of the IEEE Spectrum, 84 engineering conferences were announced. Four conferences lasted two

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Question:

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 five 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.

Part (a) Organize the data in a chart. (Round your answers to four decimal places.) X Frequency Relative Frequency Cumulative Relative Frequency 2 3 4 5 6 7 8 9

Part (b) Find the median. ____days Find the first quartile. ____ days Find the third quartile. ____days

Part (c) Find the 65th percentile. ____days

Part (d) Find the 10th percentile. ____days

Part (e) Construct a box plot of the data. A,B,C, OR D

Part (f) The middle 50% of the conferences last from _____days to _____days.

Part (g) Calculate the sample mean of days of engineering conferences. (Round your answer to two decimal places.) days

Part (h) Calculate the sample standard deviation of days of engineering conferences. (Round your answer to two decimal places.) days

Part (i) Find the mode. days

Part (j) 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. I would choose the mode because almost half of the conferences lasted 3 days.I would choose the median because all the conferences lasted from 2 to 9 days, so 4 days would represent a value close to the center of the data. I would choose the median because half of the conferences lasted fewer than 4 days and half of them lasted longer than 4 days.I would choose the mean because it represents the average length of a conference.

Part (k) Give two reasons why you think that three to five days seem to be popular lengths of engineering conferences. (Select all that apply.) A conference that lasts 9 days is not effective.50% of the data values range from 3 to 5 days. Engineering is boring, so people do not want to spend many days at a conference. The mean, median, and mode are within this range.