According to the graphical summaries, it is obvious that each brewery have their own alcohol and calorie amounts that are contained in 12 oz beers. Moreover, we can assume that most beer consumers favor low levels of alcohol versus high levels of alcohol. The histogram illustrates that 12 oz beers between 0.1 and 5.1 levels of alcohol are greater then those that contain 5.1 levels of alcohol or more. As far as the calories are concerned, because every beer is made through different breweries, the amount of calories for each beer vary; no matter what level of alcohol is distributed.
In the boxplot distribution, the amount of alcohol in a 12 oz beer is roughly symmetric. Both whiskers have close measures with only the outliers being distinctive. In calories, however, it is more skewed to the right; showing a longer whisker and the median tilting more towards the right.
In the stem and leaf distribution, once again it is shown that low levels of alcohol are greater then those that have a higher level of alcohol. In addition, alcohol levels between 4.l and 5.9 have more ratings then alcohol levels of 6.0 and up. For calories, levels between 1.0 and 2.2 appear to have the highest ratings.
In the column statistics distribution, alcohol(ABV) is roughly symmetric; having both the mean and median in a close range. It contains a standard deviation of 1.3, a range of about 10.1 12 oz beers, a 4.4 first IQR and a 5.6 third IQR.
Calories, on the other hand, have a range of 275 12 oz beers, with a median of 150. Its standard deviation is 42.4, a 128 first IQR, and a 166 third IQR. Moreover, calories would also be considered symetric; the mean and median have close ratings. With this being said, this distribution is a good example to illustrate an Empircal Rule problem.
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Summary statistics:
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Variable: Alcohol (ABV)
Low : 0.4, 2.4, 2.5 2 : 8 3 : 3 : 889 4 : 1111111122222222222222333344444 4 : 55555566666667777777777777888888899999999999 5 : 0000000000000011112222233334 5 : 5566666688899999999 6 : 012224 6 : 556789 7 : 00 High: 7.8, 8, 8.1, 8.1, 8.7, 9.6, 10.5, 10.5 |
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Variable: Calories 12 oz
Low : 55, 64, 67, 70 0 : 9 1 : 000000000011111111111111111222223333334444444444444 1 : 55555555555555555555555555555566666666666666666666666677777777788888899999 2 : 0000111222222 High: 225, 231, 269, 292, 314, 330 |
I think it would be beneficial to change the width of the histogram of the amount of alcohol in the beverage to a smaller class width.
How about the relationship between the two?