Determine the level of measurement of the variable. Favorite color Choose the correct level of measurement. A) Interval B) Nominal C) Ratio D) Ordinal

In this case, ''favorite color'' represents a categorical variable where individuals are divided into distinct categories based on their preferred color. Categorical variables can be further classified into two types: nominal and ordinal.
1. Nominal Level of Measurement:
The nominal level of measurement is the lowest level and represents variables with no inherent order or ranking. It simply categorizes data into distinct groups without any quantitative value or hierarchy. For example, if we assign numbers to colors like 1 for blue, 2 for red, and 3 for green, these numbers are purely arbitrary and do not imply any order or magnitude. Nominal variables can only be classified into different categories without any numerical interpretation.
2. Ordinal Level of Measurement:
The ordinal level of measurement retains the categorical nature of the variable but introduces a sense of order or ranking among the categories. It allows for the arrangement of data in a specific order based on their relative position. For example, if we rank the colors from most favorite to least favorite, such as 1 for blue, 2 for red, and 3 for green, we can infer that blue is preferred more than red, and red is preferred more than green. However, we cannot determine the magnitude or intervals between the ranks.
Considering the characteristics of the variable ''favorite color,'' it falls into the category of a nominal variable because there is no inherent order or ranking associated with colors. Therefore, the correct level of measurement for the variable ''favorite color'' is $\boxed{\text{B) Nominal}}$.

To determine the level of measurement of the variable ''Favorite color,'' we need to assess its characteristics.
The variable ''Favorite color'' is an example of a $nominal$ level of measurement. Nominal variables are categorical in nature and have no inherent order or numerical value. In this case, favorite colors do not have a natural ordering or numerical representation; they are simply different categories or labels.
Hence, the correct choice is:
$B)\text{Nominal}$