Q&A for How to Find Mean, Median, and Mode

As the article points out, the set is "multi-modal" and thus doesn't have a single mode.

Modal is just the adjective form of the word mode. So, the modal value in a data set is the same as the mode.

Start by lining up the data in ascending order, so it's organized in an easily readable fashion: 1, 1, 1, 1, 2, 2, 2, 2, 3, 4. Then, figure out which number appears most often. This is the mode. In your dataset, there are actually two modes -- 1 and 2. They both appear 4 times and nothing else appears more.

You can find the mean by adding all of the numbers in the data table together, and then dividing them by the number of numbers you added together. In this case, 72+52+80+88+100=392. After adding them together, you would divide by 5, because you added 5 numbers together. The final answer is 78.4.

If there is no other number that shows up more than three times in your data set, then you have two modes, 3 and 4. This type of data set is called bimodal.

Add all the numbers together, then divide by the number of the numbers that you added together for the mean. For example, if you needed to solve the mean of v, x, y, and z, then you would add v+x+y+z then divide by 4, as you added 4 numbers together.

Place those numbers in ascending (or descending) order: -1, 2, 2, 3, 3, 4, 5, 5, 6. There are nine numbers in the set, so eliminate the first four numbers and the last four numbers, leaving the ninth (or middle) number, which is the second 3. That's the median.

No, but you should learn to order them from least to greatest because it will make it easier when you do more complicated things, such as finding the first and third quartiles of the data.

If a distribution is termed to be multimodal, there are at least two modes in the distribution. This means that at least two numbers appear the greatest amount of times in the distribution. For example, if you have a set of data in which three numbers each appear five times and no other numbers appear more than five times, then you have a multimodal distribution with three modes.

If each number in the set appears the same number of times (such as once), the set is multi-modal, and every number is the mode. You could also consider this set non-modal, having no mode at all.

"Bimodal" means that the modal number appears twice in the set. Present the set as you would any other set.

Remember that the mode is the most common number within the data. In this list, only one number appears more than once. Therefore, the mode of this data is 120.

Take the data, plot onto a graph and divide the total results by 4. Those numbers that appear within the first quarter of all the data on the graph would be within the first quartile, and the third quartile would be the data that occurs from the mean of the results up to the last quarter of the data present.

The median will include repeats. For the three main statistical values, mean, median, and mode, you will never omit any numbers.

If it is a large group of numbers, find the lowest number and the highest number. That is the range.

First arrange the numbers in either ascending or descending order: 7, 11, 16, 16, 19, 21, 24. The median is the number positioned in the middle of the grouping. Since there are seven numbers in the grouping, the fourth number is in the middle. So the median is 16. The mode is the number that appears most frequently in the data set, which in this case is also 16.

The numbers are already arranged in ascending order. There are eight numbers in the group. When there is an even number of numbers in the group, there are two middle numbers. In this case, the middle (median) of the group consists of the average of the fourth and fifth numbers: (5 + 6) / 2 = 11/2 = 5½. That's the median.

There is no mode. If every number in a data set appears once, there is no mode.

First list the numbers in either ascending or descending order: 1, 2, 5, 7, 8, 9. Because there is an even number of numbers (6) in the data set, the median will be the average of the middle two numbers (which you find by adding those two numbers together and dividing by 2): (5 + 7) / 2 = 6. That's the median. (It's only a coincidence that the median in this case is the same as the number of numbers in the set.) (If there had been an odd number of numbers in the set, the median would have been the middle number.)