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?
mean
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
you add them both up and divide by two. that will be the exact median.
Median is the middle number in a group of numbers. If there more than one middle number, the median is either shown as average of the two numbers in the middle or shown as both the numbers. The median in 23 24 26 29 is 25 or {24;26}.
Median is the middle number, when the whole set of numbers is arranged from least to greatest. If there are two middle numbers, the median is the average of both of the middle numbers (when the set of numbers is arranged from least to greatest)
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 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