Variable Min. 1st. Quadrant Median Mean 3rd Quadrant Max. Standard Dev. pH 1.008
ID: 3255501 • Letter: V
Question
Variable
Min.
1st. Quadrant
Median
Mean
3rd Quadrant
Max.
Standard Dev.
pH
1.008
1.166
1.197
1.196
1.224
1.389
0.0466
Residual Sugar
-0.1054
0.6419
0.7885
0.8502
0.9555
2.741
0.3574
Chlorides
0.012
0.07
0.079
0.08747
0.09
0.611
0.04707
summary statistics of the log of pH and the log of residual sugar as well as the chlorides in red wine.
What could be said about the analysis of these three variables in terms of distrubution?
Variable
Min.
1st. Quadrant
Median
Mean
3rd Quadrant
Max.
Standard Dev.
pH
1.008
1.166
1.197
1.196
1.224
1.389
0.0466
Residual Sugar
-0.1054
0.6419
0.7885
0.8502
0.9555
2.741
0.3574
Chlorides
0.012
0.07
0.079
0.08747
0.09
0.611
0.04707
Explanation / Answer
Bowley's coefficient of skewness:-
Sk=(Q3-2Q2+Q1)/(Q3-Q1)
Besides, Range = (max - min)
For pH, Sk = -0.0689655. ie.. the distribution of pH is negatively skewed and Range = 0.381
For Residual Sugar, Sk = 0.06505102. ie.. the distribution of Residual Sugar is positively skewed and Range = 2.8464
For Chlorides, Sk = 0.1, ie.. the distribution of Chlorides is positively skewed and Range = 0.599
Distribution of Residual Sugar is more dispersed than the distribution of pH & the distribution of Chlorides ....
as, sd(Residual Sugar) > sd(Chlorides) > sd(pH)
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