Which of the following is NOT acceptable?

Question

BlackTom AI · Accepted Answer

In this question, we need to evaluate which data-handling statement is not appropriate for a given data type.
Option 1: 'Calculation of percentages with interval data' — Percentages are a way of expressing part of a whole and are commonly used with nominal or ordinal summaries (counts or frequencies). With interval data, you could still compute percentages if you’re summarizing how many observations fall into certain values or bins, but the interpretation is less standard because interval data lack a true zero and relative magnitudes can be ambiguous in some contexts. This makes the statement somewhat context-dependent, but it is not inherently inappropriate to compute percentages in many analyses.
Option 2: 'Calculation of coefficient of variation with ordinal data' — This is typically not acceptable. The coefficient of variation (CV) is defined as the standard deviation divided by the mean and relies on meaningful arithmetic operations (mean, SD) that require ratio or at least interval-level measurement with a true zero. Ordinal data only preserve order, not equal intervals or a true zero, so using CV with ordinal data yields misleading and invalid results.
Option 3: 'Calculation of mode with nominal data' — The mode is the most frequent category and is perfectly appropriate for nominal data, which has categories without any intrinsic order. So this option is acceptable.
Option 4: 'Calculation of variance with ratio data' — Variance is a measure of dispersion that assumes meaningful differences and a true zero, both of which are satisfied by ratio data. Therefore this is a correct and acceptable practice.
Overall, the problematic choice is Option 2 because ordinal data do not support the arithmetic operations required to compute the coefficient of variation, making it the NOT acceptable option here.

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Which of the following is NOT acceptable?

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