The accompanying data file contains 12 observations with three variables, x₁, x₂, and x₃.
a. Based on the entire data set, calculate the sample mean and standard deviation for the three variables. Using the original values, and then the z-score standardized values, compute the Euclidean distance for all possible pairs of the first three observations.
b. Based on the entire data set, find the minimum and maximum values of the three variables. Using the original values, and then the min-max normalized values, compute the Manhattan distance for all possible pairs of the first three observations.