In mathematics and statistics, the arithmetic mean ( /ˌærɪθˈmɛtɪk ˈmiːn/ air-ith-MET-ik) or arithmetic average, or just the mean or the average (when the context is clear), is the sum of a collection of numbers divided by the count of numbers in the collection. The collection is often a set of results of an experiment or an observational study, or frequently a set of results from a survey. The term "arithmetic mean" is preferred in some contexts in mathematics and statistics, because it helps distinguish it from other means, such as the geometric mean and the harmonic mean. In addition to mathematics and statistics, the arithmetic mean is used frequently in many diverse fields such as economics, anthropology and history, and it is used in almost every academic field to some extent. For example, per capita income is the arithmetic average income of a nation's population. While the arithmetic mean is often used to report central tendencies, it is not a robust statistic, meaning that it is greatly influenced by outliers (values that are very much larger or smaller than most of the values). For skewed distributions, such as the distribution of income for which a few people's incomes are substantially greater than most people's, the arithmetic mean may not coincide with one's notion of "middle", and robust statistics, such as the median, may provide better description of central tendency. (Wikipedia).
I work through 2 examples of how to find Arithmetic Means. Arithmetic means are missing terms within an arithmetic sequence. Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful
From playlist Algebra 2
What is the definition of an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Arithmetic geometric mean inequality
In this video I give an elementary proof of the arithmetic-geometric mean inequality using calculus 1 techniques. This inequality states that the arithmetic mean of a list of positive numbers is always greater than or equal to its geometric mean. I would like to thank Alex Zorba for provi
From playlist Calculus
Using Clocks to Solve Fractions String 8
A fun string dealing with subtraction that leads to sixths and twelfths
From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents
Learn to use summation notation for an arithmetic series to find the sum
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Visualizing decimal numbers and their arithmetic 67 | Arithmetic and Geometry Math Foundations
This video gives a precise definition of a decimal number as a special kind of rational number; one for which there is an expression a/b where a and b are integers, with b a power of ten. For such a number we can extend the Hindu-Arabic notation for integers by introducing the decimal form
From playlist Math Foundations
What are the formulas for arithmetic and geometric sequences
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Arithmetic Sequences and Arithmetic Series - Basic Introduction
This video provides a basic introduction into arithmetic sequences and series. It explains how to find the nth term of a sequence as well as how to find the sum of an arithmetic sequence. It also discusses how to distinguish a finite sequence from an infinite series. It also includes a
From playlist New Precalculus Video Playlist
Regularity and non-standard models of arithmetic #PaCE1
Follow-up video: https://youtu.be/7HKnOOvssvs Discussed text, including all links: https://gist.github.com/Nikolaj-K/101c2712dc832dec4991bf568869abc8 Curt's call: https://youtu.be/V93GQaDtv8w Timestamps: 00:00:00 Introduction 00:02:55 Wittgenstein and predicates (optional) 00:11:12 Skolems
From playlist Logic
Arithmetic Mean or Median of Arithmetic Progression (GMAT/GRE/CAT/Bank PO/SSC CGL) | Don't Memorise
Here's an easier way to find the Mean of Evenly Spaced Numbers. To learn more about Quant- Arithmetic, enrol in our full course now: https://bit.ly/QuantArithmetic In this video, we will learn: 0:00 Arithmetic Mean 0:41 Arithmetic Median 1:16 Arithmetic Mean and Median of evenly spaced
From playlist Arithmetic ( GMAT / GRE / CAT / Bank PO / SSC CGL)
Robert Kucharczyk: The geometry and arithmetic of triangular modular curves
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: In this talk I will take a closer look at triangle groups acting on the upper half plane. Except for finitely many special cases, which are hig
From playlist HIM Lectures: Trimester Program "Periods in Number Theory, Algebraic Geometry and Physics"
Profinite Completions and Representation Rigidity - Ryan Spitler
Arithmetic Groups Topic: Profinite Completions and Representation Rigidity Speaker: Ryan Spitler Affiliation: Rice University Date: February 02, 2022 Taking up the terminology established in the first lecture, in 1970 Grothendieck showed that when two groups (G,H) form a Grothendieck pai
From playlist Mathematics
Alles was zählt. Kulturgeschichte des Rechnens
Zählen und Rechnen sind seit Beginn der Menschheit ein lebens- notwendiges Kulturgut. Wie das Zählen die Entwicklung des Rechnens beeinflusst hat und welche Hilfsmittel sich Menschen von Beginn an ausgedacht haben, um das Rechnen zu verein- fachen, ist ein weites Forschungsfeld. uni-bonn.t
From playlist Hausdorff Center goes public
Aurelien Sagnier: Towards arithmetic sites at some places
Talk by Aurelien Sagnier in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on July 08, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Tom Sanders - Roth's theorem on arithmetic progressions
Roth's theorem on arithmetic progressions
From playlist 28ème Journées Arithmétiques 2013
Algebra for beginners || Basics of Algebra
In this course you will learn about algebra which is ideal for absolute beginners. #Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like
From playlist Algebra