The following are the grade point averages of 30 students admitted to uc berkeley's industrial engineering and operations research graduate program during a year in the 1990s. 3.46 3.72 3.95 3.55 3.62 3.80 3.86 3.71 3.56 3.49 3.96 3.90 3.70 3.61 3.72 3.65 3.48 3.87 3.82 3.91 3.67 3.72 3.66 3.79 3.75 3.93 3.74 3.50 3.83 3.69for this question, you may use a computer program but state what software and what commands you use. group the data into class intervals of width 0.05 grade points starting with the value 3.45 and draw the resulting histogram. calculate the sample mean x ¯ and sample standard deviation s. determine the proportion of the data values that lie within x ¯ ± 1.5 s. compare this proportion with the lower bound given by chebyshev's inequality. compare the proportion found in part 3 with the approximate proportion given by the empirical rule, which for 1.5 s is approximately 87%. do the data appear to be approximately normal?