1.65 Gosset's data on double stout sales. William Sealy Gosset worked at the Guinness Brewery in Dublin and made substantial contributions to the practice of statistics. 23 In his work at the brewery, he collected and analyzed a great deal of data. Archives with Gosset's handwritten tables, graphs, and notes have been preserved at the Guinness Storehouse in Dublin.24 In one study, Gosset examined the change in the double stout market before and after World War I (1914-1918). For various regions in England and Scotland, he calculated the ratio of sales in 1925, after the war, as a percent of sales in 1913, before the war. Here are the data: STOUT Bristol 94 Glasgow 66 Cardiff 112 Liverpool 140 English Agents 78 London 428 English O 68 Manchester 190 English P 46 Newcastle-on-Tyne 118 English R 111 Scottish 24 (a) Compute the mean for these data. (b) Compute the median for these data. (c) Which measure do you prefer for describing the center of this distribution? Explain your answer. (You may include a graphical summary as part of your explanation.)\f\f1.66 Measures of spread for the double stout data. Refer to the previous exercise. STOUT (a) Compute the standard deviation for these data. (b) Compute the quartiles for these data. (c) Which measure do you prefer for describing the spread of this distribution? Explain your answer. ( You may include a graphical summary as part of your explanation.)(d) Make a modified boxplot for these data and describe the distribution using only the information in the boxplot. (e) Make a stemplot for these data. (f) Compare the boxplot, the modified boxplot, and the stemplot. Evaluate the advantages and disadvantages of each graphical summary for describing the distribution of the double stout data.1.67 Are there outliers in the double stout data? Refer to the previous two exercises. STOUT (a) Find the IQR for these data. (b) Use the 1.5 X IQR rule to identify and name any outliers. (c) Make a boxplot for these data and describe the distribution using only the information in the boxplot