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Gossets data on double stout sales. William Sealy Gosset
Chapter , Problem 1.61(choose chapter or problem)
Gossets 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 Gossets 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 stoutmarket before and after World War I (19141918).For various regions in England and Scotland, he calculatedthe ratio of sales in 1925, after the war, as apercent of sales in 1913, before the war. Here arethe data:Bristol 94 Glasgow 66Cardiff 112 Liverpool 140English Agents 78 London 428English O 68 Manchester 190English P 46 Newcastle-on-Tyne 118English 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 thecenter of this distribution? Explain your answer.(You may include a graphical summary as part of yourexplanation.)
Questions & Answers
QUESTION:
Gossets 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 Gossets 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 stoutmarket before and after World War I (19141918).For various regions in England and Scotland, he calculatedthe ratio of sales in 1925, after the war, as apercent of sales in 1913, before the war. Here arethe data:Bristol 94 Glasgow 66Cardiff 112 Liverpool 140English Agents 78 London 428English O 68 Manchester 190English P 46 Newcastle-on-Tyne 118English 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 thecenter of this distribution? Explain your answer.(You may include a graphical summary as part of yourexplanation.)
ANSWER:a) Mean = (94+66+112+140+78+428+68+190+46+118+111+24)/12 = 148.75
b) Median = (118+111)/2 = 114.5
c) The median is a better measure for describing the