Question

Which of the following is/are TRUE for nonparametric statistics?

• A. It is often called distribution free statistics
• B. It is used to analyze interval data
• C. It is used to analyze ordinal data
• D. It compares groups in terms of means

Hint:

Think “distribution‐free and ranks” for nonparametrics: good for ordinal/nominal data and robust to nonnormality.

Answer 1

The Correct Option is A, C

Step 1: Nature of nonparametric tests. They make few (or no) assumptions about the population distribution, so they are distribution‐free. $\Rightarrow$ (A) is true.

Step 2: Level of measurement. Nonparametric procedures commonly work on ranks or categorical counts and are appropriate for ordinal/nominal data; hence (C) is true.

Step 3: Why the others are false. (B) Interval/ratio data with normality are typically handled by parametric tests. (D) Nonparametric comparisons usually use medians or rank sums (e.g., Mann–Whitney, Kruskal–Wallis), not means.
Thus, the correct statements are \fbox{(A) and (C)}.