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

Question

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?

查看解析

登录即可查看完整答案

类似问题

Which of the following is sensitive to extreme values?

Which measure of central tendency can be used for both numerical and categorical variables?

Which of the following statistics is not a measure of central tendency?

Which of the following is NOT a measure of central tendency?

[table] Which are measures of central tendency? (Select all that apply) [/table]

[table] Which are measures of central tendency? (Select all that apply) [/table]

True or False: The mean, median, and mode are always the same for any given dataset.

Which of the following measures is not affected by extreme values in the data?

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单