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Wine and Brandy Shipments in Australia Case Study

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This paper will study the domestic sale of Australian brandy by winemakers for the period of September 1989 to June 2014. Australia Bureau of Statistics (par. 2) provides data on brandy sales collected every quarter. The following is a set of 100 raw data about brandy sales in Australia measured in thousand liters of alcohol.

Period Brandy Sales Period Brandy Sales Period Brandy Sales Period Brandy Sales
Sep-1989 447 Dec-1996 313 Jun-2004 130 Dec-2011 125
Dec-1989 370 Mar-1997 183 Sep-2004 161 Mar-2012 82
Mar-1990 491 Jun-1997 212 Dec-2004 173 Jun-2012 83
Jun-1990 305 Sep-1997 278 Mar-2005 114 Sep-2012 96
Sep-1990 485 Dec-1997 293 Jun-2005 128 Dec-2012 125
Dec-1990 304 Mar-1998 184 Sep-2005 150 Mar-2013 71
Mar-1991 413 Jun-1998 219 Dec-2005 179 Jun-2013 73
Jun-1991 242 Sep-1998 235 Mar-2006 90 Sep-2013 94
Sep-1991 337 Dec-1998 279 Jun-2006 117 Dec-2013 113
Dec-1991 286 Mar-1999 179 Sep-2006 130 Mar-2014 60
Mar-1992 231 Jun-1999 212 Dec-2006 162 Jun-2014 89
Jun-1992 298 Sep-1999 215 Mar-2007 110
Sep-1992 386 Dec-1999 289 Jun-2007 108
Dec-1992 354 Mar-2000 157 Sep-2007 127
Mar-1993 255 Jun-2000 176 Dec-2007 188
Jun-1993 317 Sep-2000 194 Mar-2008 83
Sep-1993 403 Dec-2000 301 Jun-2008 109
Dec-1993 370 Mar-2001 244 Sep-2008 126
Mar-1994 241 Jun-2001 162 Dec-2008 153
Jun-1994 287 Sep-2001 189 Mar-2009 89
Sep-1994 279 Dec-2001 226 Jun-2009 117
Dec-1994 353 Mar-2002 127 Sep-2009 118
Mar-1995 272 Jun-2002 159 Dec-2009 147
Jun-1995 284 Sep-2002 179 Mar-2010 72
Sep-1995 298 Dec-2002 209 Jun-2010 107
Dec-1995 333 Mar-2003 117 Sep-2010 98
Mar-1996 223 Jun-2003 146 Dec-2010 133
Jun-1996 259 Sep-2003 171 Mar-2011 85
Sep-1996 279 Dec-2003 208 Jun-2011 100
Mar-2004 109 Sep-2011 99

Source: Australia Bureau of Statistics (Tables 2).

  1. A set of 100 raw data of brandy sales is tabulated above.
  2. The frequency distribution and histogram of brandy sales for Australia are illustrated below.
  1. The histogram has a tail that stretches to the right hence can be classified as a distribution that is skewed to the right. This means that few sales were made within classes that had more liters. As an example, there were few sales in the class of 432-494 compared with the class of 60-122.
  2. The mean, median, and mode are displayed on the summary table of descriptive statistics below:
Brandy sales
Mean 202.81
Standard Error 10.13856
Median 179
Mode 117
Standard Deviation 101.3856
Sample Variance 10279.04
Kurtosis -0.02322
Skewness 0.779482
Range 431
Minimum 60
Maximum 491
Sum 20281
Count 100

Mean = 202.81

median = 179

mode = 117

  1. Sample standard deviation and variance are also tabulated in descriptive statistics above.

Standard deviation = 101.3856

Sample variance = 10279.04

  1. Median is the most appropriate measure of central tendency for skewed distribution. This is supported by the fact that the distribution contains outliers, which tend to temper with the mean. A comparison of mean, median, and mode for positively skewed distribution shows that mean is the highest value among the three measures hence the outliers will have a great effect on the mean compared with the median. This is why the median is applied as a measure of central tendency. In the case of a normal distribution, the mean is used as a measure of central tendency given that it does not contain outliers.
  2. The coefficient of variation for the sample is obtained as follows:

coefficient of variation = Οƒ/i = 101.3856/ 202.81 = 49.99

CV = 50

    1. Z-score for minimum value:
Z-score for minimum value

Z score of maximum value

Z score of maximum value
  1. Ogive for the distribution and median
According to the Ogive curve drawn above, the median is 180.

According to the Ogive curve drawn above, the median is 180.

Works Cited

Australia Bureau of Statistics. Shipments of Wine and Brandy in Australia by Australian Winemakers and Importers. Cat. No. 8504.0, ABS, Canberra, 2014. Austats. Web.

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IvyPanda. (2021, April 7). Wine and Brandy Shipments in Australia. Retrieved from https://ivypanda.com/essays/wine-and-brandy-shipments-in-australia/

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"Wine and Brandy Shipments in Australia." IvyPanda, 7 Apr. 2021, ivypanda.com/essays/wine-and-brandy-shipments-in-australia/.

1. IvyPanda. "Wine and Brandy Shipments in Australia." April 7, 2021. https://ivypanda.com/essays/wine-and-brandy-shipments-in-australia/.


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IvyPanda. "Wine and Brandy Shipments in Australia." April 7, 2021. https://ivypanda.com/essays/wine-and-brandy-shipments-in-australia/.

References

IvyPanda. 2021. "Wine and Brandy Shipments in Australia." April 7, 2021. https://ivypanda.com/essays/wine-and-brandy-shipments-in-australia/.

References

IvyPanda. (2021) 'Wine and Brandy Shipments in Australia'. 7 April.

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