Can the median and mode be used to describe both categorical data and numerical data
It can be used to describe continuous or discreet data but not categorical or ordered data, unless that data is also numercal which is very unlikely
No. A median makes no sense for categorical data. For example, if you have 10 red cars, 15 blue cars and 20 black cars, what is the median?
Mode.
mean
mode
NO. It can not. You have horses, apples and oranges. What is the mean? You can't add horses, oranges and apples together. And even if you can, you can't divide that answer by a number.
Yes. here is an example: The mode is the most frequent subject that appears in a set of data. So if the data was 2, 5, 5, 7, 10, 10, 10, 10, 11, 12, 13, 13. The mode would be 10 because it appears the most. The mode can be categorical and numerical. I have already proven that the mode can be numerical in the sentences above. For an example of categorical data, say I surveyed some people about what their favorite food was and this was the data: Pizza, pizza, pizza, ice cream, ice cream, strawberries, strawberries, oranges, spaghetti. The mode would have been pizza.
Both describe a numerical value.
They're useful for quantitaive data because they are used to list number faster, not give a categorical response
They can both show the same data. You can use quantitative or categorical data with both of them.
These two are both similar because they are both expressions.