Question

In: Statistics and Probability

What are specific cultural populations in which mean or median mode is inappropriate

What are specific cultural populations in which mean or median mode is inappropriate

Solutions

Expert Solution

Mean - It is inappropriate to use mean when we are dealing with data containing outliers or which have skewed distributions. For example, it is unwise to calculate the monthly mean income of families living in a city, because income values may be outliers or the distribution of incomes may be skewed.

Median - It is inappropriate to use median when data does not contain any outliers; it is recommended to use the mean in these kind of situations. For example, it is not recommended to calculate the median height of students in a class. It is better to calculate the mean height.

Mode - It is inapprorpiate to use mode with data which are not categorical in nature, more specifically, which are continuous in nature. In continuous data, it is very rare to find a value which is more frequent than the other. For example, if we want to measure the weight of residents in a neighbourhood, it is not recommended to use the mode. We can very well use the mean in this case.


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