1 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 leng...

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

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1 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.
1. Using R, Construct a Histogram with appropriate title and labels for the X and Y axes.
  
  Hint: Define your vector of values as follows (you can copy and paste this into R):

vec_days <- c(rep(2, times=4), rep(3, times=36), rep(4,times=18), rep(5,times=19), rep(6,times=4),rep(7,times=1), rep(8,times=1), rep(9,times=1))

Using R, Find the median, the first quartile, and the third quartile.
Using R, Find the 10 and 65th percentiles
Using R, Calculate the IQR
Using R, Construct a box plot of the data and identify any outliers.
Using R, The middle 50% of the conferences last from _______ days to _______ days.
Using R, Calculate the sample mean of days of engineering conferences.
Using R, Calculate the sample standard deviation of days of engineering conferences.
Using R, Find the mode. (Hint: First convert vec_days to a table using the table() function. Then print the table and then answer what the mode is.)
Using R, Calculate the skewness and kurtosis for the data and interpret them.
Using R, 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.