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.(a) Organize the data in a chart. (Round your answers to four decimal places.)(b) Find the first quartile.(c) Find the third quartile.(d) Find the 65th percentile.(e) Find the 40th percentile.(f) The middle 50% of the conferences last from.......days to........ days.

Accepted Solution

The sample mean of the days of engineering conferences is 5.5.Step-by-step explanation:The given data says that values of X are the length in days.where X= 2, 3, 4, 5, 6, 7, 8, 9.number of samples = 8.we have to find the sample mean for the days.Mean = [tex]\frac{sum of all data}{number of samples}[/tex].          = [tex]\frac{2+3+4+5+6+7+8+9}{8}[/tex].          =[tex]\frac{44}{8}[/tex].Mean = 5.5.∴ The sample mean of the days is 5.5.