Answer to Question #99534 in Statistics and Probability for utsav gandhi

Question

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 10.51
Med 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

Answer 1

In normal distribution, the mean median and the mode, all the values are almost equal.

So, we will see in the given data to find which among those have almost the same median, mean and the mode.

We can see that the mean median and mode of the variable 'chlorides' are 0.05, 0.04 and 0.04 respectively with standard deviation of 0.02, which shows that their data are almost normally distributed.

Similarly, we can see that mean median and mode of the variable 'density' are 0.99, 0.99 and 0.99 respectively with standard deviation of 0.00, which shows that their data are normally distributed.