2. For the data in the table below:
i. What do high kurtosis and skewness figures denote?
ii. Free Sulphur dioxide and total Sulphur dioxide have mean, median and modes that
differ substantially from each other. What can you infer from this?
iii. By looking at the descriptive stats of the variables, identify two that may be closest to
being normally distributed. Why?
Desc Stats fixed acidity volatile acidity citric acid residual sugar chlorides free sulfur dioxide total sulfur dioxide density pH sulphates alcohol
Mean
6.85
0.28
0.33
6.39
0.05
35.31
138.36
0.99 3.19
0.49
Med
10.51
6.80
0.26
0.32
5.20
0.04
34.00
134.00
0.99 3.18
0.47
10.40
Mod
6.80
0.28
0.30
1.20
0.04
29.00
111.00
0.99 3.14
0.50
9.40
SD
0.84
0.10
0.12
5.07
0.02
17.01
42.50
0.00 0.15
0.11
1.23
Kurt
2.17
5.09
6.17
3.47
37.56
11.47
0.57
9.79 0.53
1.59
-0.70
Skew
0.65
1.58
1.28
1.08
5.02
1.41
0.39
0.98 0.46
0.98
0.49
Range
10.40
1.02
1.66
65.20
0.34
287.00
431.00
0.05 1.10
0.86
6.20
(10Marks)
