value that appears most often in a set of data
Wikipedia
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Mode (statistics) - Wikipedia
January 26, 2005 - In statistics, the mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function P(X) takes its maximum value, i.e., x = argmaxxi P(X = xi).
What is the purpose of the "mode" in statistics?
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
Beginner(ish) question: what exactly are modes? I've seen two different explanations for them.
You can either think of it as treating different notes of a given scale as the root (i.e. E-phrygian is the 3rd mode of C major), or as alterations to the major/minor scale (i.e. F-lydian is F major, with a raised 4th-degree--major #4). Neither way is wrong. I hope this didn't make it more confusing, cheers! More on reddit.com
Please Explain Modes To Someone (Me) Who Only Knows Basic Music Theory
Let it rest for a while, focus on other topics. Modes are vastly overrated imo, especially for beginners. I couldn't wrap my head around it for the longest time but have since learned more about harmony and music theory in general. When I came back to it recently, it made a lot more sense. More on reddit.com
Donโt really understand how modes work.
This is why I hate the "starting on a different note" definition. Some people might not like me saying this, but try using this definition: Modes are simply altered scales. You know how you have the minor scale, right? Let us assume that the major scale is the "default" for a moment. You can get to the minor scale from the major scale by flattening the third, the sixth and the seventh, or in other words, "altering it". You can get to lydian from major in a similar way. Just sharp the 4th. For mixolydian, just flatten the 7th. How do you conceptualize the difference in feel between major and minor? The difference between any of the modes and the scales is pretty much the same. A scale, atleast to me, is a specific sequence of intervals that evoke a certain feeling. If you alter the intervals, you alter the feeling. That doesn't make any scale "better" or "worse" than the other - they're just different. So for me, C major (C Ionian mode), C minor (C Aeolian), C Dorian, C Mixolydian, C Lydian are all just different scales that evoke different feelings, but they're all centered on C* You know how you can build out all the chords out of the major scale? You can do the same with all the modes. Functionally, you use modes the same way as the regular major/minor (rather, you can look at the major and minor scales as a subset of modes). I would say that play around with the chords from the different modes instead of just trying to use single note melodies to reinforce the idea in your head. We're so used to hearing "major" that melodies will tend to feel like they're resolving on the "relative major" of whatever mode your melody belongs to. *For some scales like Locrian the "home chord" isn't "stable", but eh, music theory isn't gospel, it's just a way of describing things. These modes aren't even the only scales you can use. You can technically use anything you want. So I wouldn't worry about the home chord not feeling "resolved" enough. More on reddit.com
Videos
Khan Academy
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Mean, median, and mode review (article) | Khan Academy
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Mathnasium
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What Is Mode in Math? A Middle-School-Friendly Guide
July 21, 2025 - Find the mode for the following dataset: 10, 12, 15, 10, 18, 15, 20, 10, 25, 12, 30 ยท 1) Organize the values from smallest to largest: 10, 10, 10, 12, 12, 15, 15, 18, 20, 25, 30 2) Count the frequency of each value: ... The number 10 appears the most, showing up 3 times, so 10 is the mode.
Cambridge Dictionary
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MODE | definition in the Cambridge English Dictionary
3 days ago - MODE meaning: 1. a way of operating, living, or behaving: 2. the number or value that appears most often in aโฆ. Learn more.
YouTube
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Mean median mode range - YouTube
Mean median mode range Get the tablet and products I use for math here: https://www.amazon.com/shop/mathcelebrity Get the tablet and other products from my v...
Published ย January 29, 2023
NCBI
ncbi.nlm.nih.gov โบ books โบ NBK540990
Mode - StatPearls - NCBI Bookshelf
July 17, 2023 - The mode refers to the most frequently occurring number found in a group of numbers. The mode is determined by collecting data to count the frequency of each result. The result with the highest count of occurrences is known as the mode of the set, which is also commonly referred to as the modal ...
Mode
mode.com
Mode Analytics
Mode is the central hub for your organizationโs analysis, uniting data teams and business teams around data to drive business outcomes.
Reddit
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r/math on Reddit: What is the purpose of the "mode" in statistics?
October 23, 2010 -
Does it serve any purpose that the mean and median don't? What can it show us? Sorry, I might have missed this lesson in precal...
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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.
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One advantage of the mode is that it can be used for qualitative data (e.g., political alignments) where mean and median don't make sense.
YouTube
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How to Find the Mode | Math with Mr. J - YouTube
Welcome to How to Find the Mode with Mr. J! Need help with finding the mode? You're in the right place!Whether you're just starting out, or need a quick refr...
Published ย June 8, 2020
Merriam-Webster
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MODE Definition & Meaning - Merriam-Webster
1 week ago - a particular form or variety of something; a form or manner of expression : style; a possible, customary, or preferred way of acting, thinking, or feelingโฆ See the full definition
Purplemath
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Mean, median, and mode: they're ALL averages...? | Purplemath
To find the median, your numbers have to be listed in numerical order from smallest to largest, so you may have to rewrite your list before you can find the median. The "mode" is the value that occurs most often.
Laerd Statistics
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Mean, Mode and Median - Measures of Central Tendency - When to use with Different Types of Variable and Skewed Distributions | Laerd Statistics
The mean is being skewed by the two large salaries. Therefore, in this situation, we would like to have a better measure of central tendency. As we will find out later, taking the median would be a better measure of central tendency in this situation. Another time when we usually prefer the median over the mean (or mode) is when our data is skewed (i.e., the frequency distribution for our data is skewed).
Statistics Canada
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4.4.3 Calculating the mode
During a hockey tournament, Audrey scored 7, 5, 0, 7, 8, 5, 5, 4, 1 and 5 points in 10 games. After summarizing the data in a frequency table, you can easily see that the mode is 5 because this value appears the most often in the data set (4 times). The mode can be considered a measure of central tendency for this data set because itโs unique.
Math Goodies
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What is Mode in Math? - Math Goodies
May 7, 2024 - It is easy to remember the definition of a mode since it has the word most in it. The words mode and most both start with the letters mo. Letโs look at some more examples. Example 1: The following is the number of problems that Ms. Matty assigned for homework on 10 different days. What is the mode?