Center, Spread, and Boxplotsrestart;We load the Statistics and Plots packages.with(Statistics):with(plots):We enter our data as a list with measurements in \316\274g/ml of protein.X:=[76.33,77.63,149.49,54.38,55.47,51.70,78.15,85.40,41.98,69.91,128.40,88.17,58.50,84.70,44.40,57.73,88.78,86.24,54.07,95.06,114.79,53.07,72.30,59.36,59.20,67.10,109.30,82.60,62.80,61.90,74.78,77.40,57.90,91.47,71.50,61.70,106.00,61.10,63.96,54.41,83.82,79.55,153.56,70.17,55.05,100.36,51.16,72.10,62.32, 73.53,47.23,35.90,72.20,66.60,59.76,95.33,73.50,62.20,67.20,44.73,57.68]; We order our measurements from smallest to largest.Y:=sort(X,`<`);We use the Mean command to find the mean.xbar = Mean(X);z:=[.05,.10,.20]*61;We use the TrimmedMean command to find the 5%, 10%, and 20% trimmed means. Based on the computation above, this means that 3, 6, and 12 values are removed from each end of the distribution, respectively.TrimmedMean(X,5,95);TrimmedMean(X,10,90);TrimmedMean(X,20,80);We use the Median command to find the median of our distribution.Median(X);We interject a new, smaller set of data.XX:=[500,570,560,570,450,560,570];We look at its center.Mean(XX);Median(XX);We look at its dispersion. The commands Variance and StandardDeviation assume we are using samples.Variance(XX);StandardDeviation(XX);We return to our primary data set, where we again use the Variance and StandardDeviation commands to find the variance and standard deviation..Variance(X);StandardDeviation(X);We use the FivePointSummary command to get the five-number summary.FivePointSummary(X);You can also use the Quartile command to find the 3 quartiles.Quartile(X,[1,2,3]);We use the BoxPlot command to create a boxplot.BoxPlot(X);We remove the squares representing the deciles. But first, we print the values of the deciles.Decile(X,[1,2,3,4,5,6,7,8,9]);BoxPlot(X,deciles=false);We remove the diamond representing the mean.BoxPlot(X,deciles=false,mean=false);Circles are used to indicate outliers, items further than 3/2 times the IQR away from the upper and lower quartiles.BoxPlot(X,deciles=false,mean=false,outliers=true);We change the orientation of the boxplot.BoxPlot(X,outliers=true,deciles=false,mean=false,orientation=horizontal);