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
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.
They're useful for quantitaive data because they are used to list number faster, not give a categorical response
Yes they can. That is why we have them. We would not need both if they always gave the same value. A mean is the total of numbers divided by the amount of numbers. A median is the middle value in the list when it is in numerical order. Usually they are similar, but not always the same. If there is an extreme number, much different than all the others, then the mean and median will be very different. Take 1, 3, 4, 7, 900. 4 is the Median. 183 is the mean. 183 is not very representative of the set, which is why a median actually works better here.
The mean and the median are both involved with a set of numbers. The mean refers to the average of the numbers. The median refers to the middle number of the numbers
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?
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
yes because if you have categorical data you need the range for the value of the numbers so it would be the same for numerical data
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.
No, they are both averages but worked out in different ways and give different answers. The mean is the sum of all the values added together and then divided by the number of values there are. The median is found by arranging the values in numerical order and finding the number in the middle.
The median of a set of numbers is the middle number when the numbers are listed in numerical order. When there are an even number of data items in the set, then the median is the mean average of the middle two numbers. In the set {16, 25} there are two data items, so the median is the mean average of the middle two (which for a set of 2 is both the numbers) → median = (16 + 25) ÷ 2 = 20.5
They're useful for quantitaive data because they are used to list number faster, not give a categorical response