Graphical Summary Distribution and Math Statistics Questions I need these homework questions in statistics. You are required to find the mean and median for these data. Please see below. # 65. 4. 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 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.)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Bristol 94
Glasgow 66
Cardiff 112
Liverpool 140
English Agents 78
London 428
English O 68
Manchester 190
English P 46
English R 111
Newcastle-on-Tyne 118
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.)
# 67. Are there outliners in the double stout data?
(a) Find the IQR for these data
(b) Use the 1.5x IQR rule to identify and name any outliners
(c) Make a boxplot for these data and describe the distribution using only information in the
boxplot.
(d) Make a modified boxplot for these data and describe the distribution using only the
information in the boxplot.
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