5. Here are 30 data values (data points): 45, 1, 16, 36, 5, 34, 15, 99, 68, 23, 12, 7, 3, 12, 5, 5, 43, 40, 55, 52, 28, 70, 2, 25, 19, 41, 22, 28, 20, 40 (When entering these into Excel MAKE SURE you have all 30 data values covered)

(a) Construct a SCATTER PLOT of the RAW data (NOT rank ordered)

(b) Calculate the mean, median, mode,variance, standard deviation, Q1, Q2, Q3, IQR, and the data value that is the 80^th percentile (calculate its rand and then what that data value is in the rank-ordered data set).

(c) Construct a FREQUENCY TABLE using ranges 1-10, 11-20, 21-30 etc. until all data would be included. Include the Frequencies, Relative Frequencies and Cumulative Relative Frequencies as decimal fractions (e.g., 0.234 keeping only 2 or 3 decimal places)

(d) Find any UNUSUAL data points using BOTH the Mean +/- 2* SD and the Mean +/- 1.5 * IQR

(e) Construct a BAR CHART using the RELATIVE FREQUENCIES and construct a HISTOGRAM using the FREQUENCIES.

(f) If all 30 numbers on separate pieces of paper were put in a hat and one was blindly drawn out, what is the probability it is a number less than 40?, Greater than 50? Between 31 and 60 ?