18. 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. 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. 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: Bristol 93
Cardiff 113
English Agents 77
English O 68
English P 44
English R 109
Glasgow 65
Liverpool 139
London 427
Manchester 189
Newcastle-on-Tyne 118
Scottish 24
A) Compute (±0.01) the standard deviation for these data.
B) Compute (±0.01) the quartiles for these data.
C) Which measure do you prefer for describing the spread of this distribution?