6) A Dichotomous Variable represents what level of measurement within the realm of quantitative analysis?

A. Ordinal
B. Nominal
C. Ratio
D. Interval

nominal

Expected relative frequency probability represents a calculated probability based on large numbers of trials. In an example of a deck of 52 cards, where you randomly pull cards from the deck and record what they are, you find that over 1000 random draws, you pull an ACE 76 times. What would be the calculated probability based on relative frequency?

B. Nominal

To determine the level of measurement of a variable, we need to understand the different levels of measurement in quantitative analysis.

1. Nominal: This is the lowest level of measurement. It involves categorizing data into distinct groups or categories. In nominal measurement, the values assigned to variables are merely labels with no inherent order or numerical significance.

2. Ordinal: This level of measurement involves ranking or ordering data, but the differences between the categories or ranks are not necessarily meaningful or equal. In other words, ordinal variables have a natural ordering, but the exact difference between the categories is unknown or not meaningful.

3. Interval: This level of measurement has an ordered scale where the differences between values are consistent and meaningful. However, it lacks a true zero point or starting point. For example, temperatures measured in Celsius or Fahrenheit.

4. Ratio: This is the highest level of measurement. It possesses all the characteristics of interval measurement but also has a true zero point, indicating the absence of a measured attribute. In ratio measurement, the differences between values are consistent and meaningful, and it is also possible to compare ratios. Examples include height, weight, and age.

In light of these definitions, a dichotomous variable belongs to the nominal level of measurement (B). A dichotomous variable is one that has only two categories or groups, such as yes/no, true/false, or present/absent. It lacks an inherent order, and the assigned values are merely labels for the two distinct categories.