DSC 441 HW 2.docx - DSC 441 Assignment 2 Problem 1 a...

• 5

This preview shows page 1 - 3 out of 5 pages.

DSC 441 Assignment 2 Problem 1 a. Looking at the Age variable descriptive statistics output and the boxplot we can infer that the data for Age is skewed to the left. The minimum of the dataset is 26 and the maximum is 75. The mean is about 50.11. The range for Age is 49. Looking at the %fat Variable descriptive statistics and the boxplot there are two outliers, data points 8.8 and 10.5 are outliers. %fat Variable looks to have a more balanced and normal distribution. The minimum id the dataset is 20.8 and the maximum is 44.5, the median is about 31.061. The range for %fat is 35.7 b. The variable Age has the mean 50.11 and standard deviation 14.899. The %fat variable has mean 31.06 1 and standard deviation is 9.54. Using SPSS we can calculate the z- scores for each case quickly. The table projects the Z-score normalizations for ZAge and Z %fat in the last two columns.
c. Min-max normalization Range [new_min, new_max] = [0, 1]. The min-max normalization pushes the data values into this specific range.