Question:

Which of the following is NOT true about the nominal scale variable?
(A). Has no order and there is no distance
(B). Has a meaningful zero point
(C). May assume negative values
(D). Cannot have more than two categories
Choose the correct answer from the options given below:

Show Hint

Pay close attention to the word "NOT" in the question. It means you must identify the incorrect statements rather than the correct ones.
  • (A), (B) and (D) only.
  • (A), (C) and (D) only.
  • (A), (B) and (C) only.
  • (B), (C) and (D) only.
Show Solution
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
Variables are measured on four scales of measurement: Nominal, Ordinal, Interval, and Ratio.
The nominal scale represents the most basic level of measurement, used for labeling variables without any quantitative value.

Step 2: Detailed Explanation:

Let us evaluate the statements regarding nominal scale variables:

• Statement (A): Has no order and there is no distance: This is true. Nominal variables (such as gender, religion, or eye color) represent mutually exclusive categories with no inherent rank or quantitative differences between them.

• Statement (B): Has a meaningful zero point: This is false. A meaningful zero point is only a characteristic of the ratio scale (e.g., weight, height). Nominal variables do not have numeric values, let alone a meaningful zero point.

• Statement (C): May assume negative values: This is false. Since nominal variables are qualitative, they cannot take negative or positive numeric values.

• Statement (D): Cannot have more than two categories: This is false. Nominal scales can have multiple categories (e.g., blood types: A, B, AB, O). It is not restricted to binary variables.
Since the question asks for statements that are NOT true (i.e. false statements), statements (B), (C), and (D) are the correct selections.

Step 3: Final Answer

The false statements about the nominal scale are (B), (C), and (D).
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