Statistical distance between records can be measured in several ways. Consider Euclidean distance, measured as the square root of the sum of the squared differences. For the first two records in Table 2.7, it is

$$\sqrt{(25-56)^{2}+(49,000-156,000)^{2}}$$

Can normalizing the data change which two records are farthest from each other in terms of Euclidean distance?

Transcribed Image Text:

TABLE 2.7 Age Income ($) 25 49,000 56 156,000 65 99,000 32 192,000 41 39,000 49 57,000