Mode

the mode is the value that appears the most often. if you graphed a distribution it would be the "peak" More on reddit.com

Your All-in-One Learning Portal: GeeksforGeeks is a comprehensive educational platform that empowers learners across domains-spanning computer science and programming, school education, upskilling, commerce, software tools, competitive exams, and more. More on geeksforgeeks.org

Let’s take a set of 5 number (2, 2, 4, 6, 8). The mode is the most frequent number, so it would be 2. The median is the ‘middle’ number, as you said the 50th percentile, so if you arrange the numbers in order then go to the middle number, so at it’s a set of 5 numbers we would go to the third, so it would be 4. The mean is mathematical average, for this you add up all the numbers in the set, then divide by the numbers in the set. So 2+2+4+6+8=22, then we divide this by 5, so 4.4 These three approaches are all ways to describe a set of numbers without having to see the full set of data, however it does mean some detail is lost More on reddit.com

Suppose you have a set of numbers like: 1, 2, 2, 4, 5, 6, 6, 6, 7. The mean (which is 4.33...) tells you what the arithmetic average number of your set of numbers is. The mean is highly sensitive to "outliers." Meaning, if you have a fairly large number (and the rest of your numbers are small or vice versa, really), it greatly affects the mean. Check it: take a set of numbers like 1, 2, 3. Find its mean (the mean is 2). Then check the mean of 1, 2, 3, 94. You'll get 25. It drastically changed the value! The median tells you what number lies in the middle of your set of numbers. So in this case, the number 5 is the middle number (there are four numbers to the left and four numbers to the right). The median can be fairly deceptive when working with these types of problems because you could have 1, 3, 100 as your set of numbers, in which case 3 would be the median. Knowing that 3 is the median here doesn't tell you too much other than that it's in the middle. The mode is a bit nicer in that it's just the most common number in your set of numbers, so in this case we'd get a mode of 6. Even mode has a drawback: what if all of your numbers only show up once? Well, you didn't really learn anything new about the set of numbers. Each of these has its drawback, but sometimes you can extract information like: what is the "most likely" number to be picked out of our set of numbers? The mode. Or if I kept picking numbers, what would be their average value? The mean. Or if I lined up the numbers, what number is in the middle? The median. At first glance, the mode is the one that is most applicable, and often the utility of these three make a lot more sense when dealing with probability functions (like when dealing with what is known as the Maxwell-Boltzmann distribution ). Edited for a little clarity. More on reddit.com