1. Create and attach a box plot and 5-number summary for PRICE for each STYLE of home. a. Write a brief report using Box Plots to substantiate what you see from the histograms (polynomial plots) and Descriptive Summary Measures you reported on previously. Check that the observations of the boxplots are consistent with your observational analysis and interpretations done previously. Explain any inconsistencies with observations or between the measures and what they may say about the use of particular measures and the histograms. Your report should have 3 paragraphs discussing Central Tendency, Variability, and Shape in terms of what these say about prices for homes sold. Do not simply state what you see. Explain what they mean in terms of characteristics of the distributions and how these are used to compare the effect of STYLE on PRICE. b. Considering the central tendency, variability, and shape together, explain the degree of confidence you might have in concluding that some styles of homes generally sold for more than others? You can state your confidence qualitatively E.g. Most often ranch style homes sold for more than trilevel homes. Hint: consider "overlap" of the boxplots and what this says about how frequently prices of one style are higher than another. c. Discuss the benefits and limitations of using a box plot over a histogram for describing the distribution of the data. Use Excel statistical charts or PHStat Descriptive Summary to get the boxplots. You may also use the boxplot.xlsx spreadsheet. 2. Compute the outlier indicators for the PRICE by STYLE data. Note: use the inclusive, not exclusive quartile for this. a. Investigate if there are possible outliers in any of the PRICE by STYLE data. If so, which styles and what values and why? b. Discuss the implications for the interpretations of the summary measures, histograms, and boxplot and using them for coming to conclusions on how prices differ by style