Which of the following statements is true about categorical data?

Question

BlackTom AI · Accepted Answer

The question asks which statement is true about categorical data, so we will assess each option carefully.
Option 1: 'Categorical data can be measured on a ratio scale.' This is incorrect because categorical data refers to categories or groups rather than numeric measurements. Ratio scales apply to numeric data with a meaningful zero, which categorical data does not possess.
Option 2: 'Categorical data can be divided into distinct categories or groups.' This is correct. Categorical data consists of qualitative categories (such as colors, types, or labels) that can be separated into distinct groups, even if some categories imply order. 
Option 3: 'Categorical data always has a natural order.' This is misleading. Categorical data can be nominal (no inherent order) or ordinal (with order). Not all categorical data have a natural order, so this statement is false.
Option 4: 'Categorical data can be used to calculate the mean and standard deviation.' This is inappropriate for categorical data because these statistics assume numeric values. For categorical data, measures like mode or frequencies are more appropriate, while mean and standard deviation are not meaningful.
Option 5: 'Categorical data is always numerical.' This is false because categorical data is qualitative, representing categories or groups rather than numeric quantities. Numerical data are discrete or continuous, which is a different type.
In summary, only Option 2 correctly captures the defining characteristic of categorical data as comprising distinct categories or groups. The other options misstate how categorical data relate to measurement scales, ordering, or summary statistics.

ATHK1X01 Practice Quiz (Mastery quiz questions Week 2-13)

Which of the following statements is true about categorical data?

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