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: Region Bristol Ratio 94 Cardiff 112 English Agents 78 English O 68 English P 46 English R 111 Glasgow 66 Liverpool 140 London 428 Manchester 190 118 Scottish 24 Newcastle-on-Tyne Click to download the data in your preferred format. CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! Compute the standard deviation for these data. Give your answer to two decimal places. s = 106.46 Incorrect Answer Compute the quartiles for these data. Give your answers as whole numbers. 67 Q₁ = Correct Answer 103 Incorrect Answer Which measure most accurately describes the spread of this distribution? Explain your answer. The standard deviation is more accurate because it is less vulnerable to extreme values than the quartiles. The standard deviation and quartiles both measure spread in different ways. It is not really possible to say that one is more accurate than the other. They should both be used. The standard deviation is more accurate because the standard deviation incorporates all of the data values, whereas the quartiles do not. Quartiles are less affected by extreme values than the standard deviation, so the quartiles are the most accurate way to represent the spread. CrunchIt - ex01-038.txt Crunchlt File Edit Insert Filtering Statistics Graphics Distribution Calculator▾ Region Relative To1913 RelativeToPast4 1 Bristol 94 82 2 Cardiff 112 80 3 English Agents 78 83 4 English O 68 88 5 English P 46 99 6 English R 111 99 7 Glasgow 66 78 8 Liverpool 140 106 9 London 428 105 10 Manchester 190 107 11 Newcastle-on-T... 118 115 12 Scottish 24 78