Which measure/s of central tendency is/are not appropriate for use with categorical data which cannot be ranked?未知题型
A
mean
B
median
C
mode

Question

Which measure/s of central tendency is/are not appropriate for use with categorical data which cannot be ranked?

BlackTom AI · Accepted Answer

Question restatement: Which measure/s of central tendency is/are not appropriate for use with categorical data which cannot be ranked?

Option 1 (mean): The mean is a mathematical average that requires numerical values and the ability to perform arithmetic on ordered data. When data are categorical and cannot be ranked, there is no meaningful numerical scale to average, so computing a mean would be inappropriate.

Option 2 (median): The median is the middle value in an ordered, ranked dataset. If the categories cannot be ranked or ordered meaningfully, there is no true middle value to identify, making the median inapplicable for such data.

Option 3 (mode): The mode is simply the most frequently occurring category. This measure does not require numerical values or a ranking, so it can be appropriate for categorical data, including nominal data where categories have no inherent order.

Summary of reasoning: For data that are categorical and non-ranked, arithmetic measures like mean and median lose their meaningful interpretation because they rely on numerical magnitudes and ordering. In contrast, the mode remains applicable because it only depends on frequency of categories, not on their numerical value or order.

Which measure/s of central tendency is/are not appropriate for use with categorical data which cannot be ranked?未知题型

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