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Can a set of data always have a median?
Yes, it can. Even if you have an uneven amount of numbers you can find the median by taking to two middle numbers, adding them together and then dividing by 2.
How do you compute mean and median?
The mean is when you add all the numbers together and divide by how many numbers there are, and yes zero does count. The median is when you put all the numbers together and whichever one is in the exact middle is the median. Sometimes there is an even amount of numbers. If there is you find the middle of those two numbers.
What do you do if you can't find the median in a set of numbers?
Every set of numbers has a median, so it can always be got. It is the middle value when they are arranged in numerical order. If there is an odd amount of numbers, then it is in the set, as there is one definite middle number. If there are an even amount of numbers, then you take the two middle numbers and find the value that is half way between them if they are different. You can also add the two numbers and divide by 2, which will also give you the median.
What is the difference between finding the median for odd numbers or even numbers?
Median is finding the center of a line of some values. The values have to list in ascending order. When there are an odd amount of numbers: the median is the middle number. Example: find the Median of {12, 3, 5}. Put them in order: {3, 5, 12}. The middle number is 5, so the median is 5. When there are an even amount of numbers: There will be two numbers in the middle; the median in this case is the mean (average) of these two. Example: find the Median of {3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 40, 56}. There are now 14 numbers and so we have a pair of middle numbers and the middle numbers are 21 and 23. To find median: (21 + 23) ÷ 2 = 22. So the Median in this example is 22.
How do you find the median when the amount of numbers is even?
You calculate the arithmetic mean of the two middle numbers. For example, to find the median of {1, 7, 4, 2, 5, 8} the middle two numbers of the ordered set are 4 and 5, whose average is (4+5)/2 = 4.5. So the median is 4.5
