In: Statistics and Probability
1. Can you identify the level of measurement (nominal, ordinal, interval, or ratio) most likely to be used to quantify the following variables: soda flavors, student class ranking, class exam scores (where lowest score is 1 and highest score is 100), and height?
soda flavors
Level of measurement: Nominal level of measurement. Since the data values are classified into the number of labels (qualitative in nature) such that the name of the flavors, this is a nominal level of measurement.
student class ranking
Level of measurement: Ordinal level of measurement. Since student class ranking classified into the number of labels (qualitative in nature) and the ranking can be ordered in terms of a low ranking or high ranking, this is the ordinal level of measurement.
class exam scores
Level of measurement: interval level of measurement. Since the data values are measured in number (quantitative in nature) and the distance between two measurement is equal, this is an interval level of measurement.
Height
Level of measurement: Ratio level of measurement. Since height measured in number (qualitative in nature) and the distance between two measurement is defined by height (fixed distance in terms of inches or centimeters with zero as a base point), this is a ratio level of measurement.