Question

In: Statistics and Probability

Which measure(s) of central tendency can be applied to nominal data? Mean Median Mode Mean&Median

Which measure(s) of central tendency can be applied to nominal data?
Mean
Median
Mode
Mean&Median

Solutions

Expert Solution

Mean:

The mean is usually the best measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data is normally distributed. However, it all depends on what you are trying to show from your data.

Median:

The median is usually preferred to other measures of central tendency when your data set is skewed (i.e., forms a skewed distribution) or you are dealing with ordinal data. However, the mode can also be appropriate in these situations, but is not as commonly used as the median.

Mode:

The mode is the least used of the measures of central tendency and can only be used when dealing with nominal data. For this reason, the mode will be the best measure of central tendency (as it is the only one appropriate to use) when dealing with nominal data. The mean and/or median are usually preferred when dealing with all other types of data, but this does not mean it is never used with these data types.

Hence, Mode is best measure of central tendency for the nominal data.


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