Math Average Deviation Formula with Problem Solution & Solved Example More Videos The average deviation is generally used by statisticians to calculate the dispersion among measures in a given population. For example, if you are given a complete set of scores then it could be calculated by computing mean and check their specific distance between each score an don’t forget to consider the Mean either the score is above or below the mean. The other name for the same concept is average absolute deviation. The formula to calculate the average deviation in mathematics is given below – \[\LARGE Average\:Deviation=\sum_{i=1}^{n}\left | x-\overline{x} \right |\] Where, x, represents the observation. $bar{x}$, represents the mean. n, represents the number of observation. If you wanted to get the complete understanding of the average deviation concept then you should know the term absolute deviation first. This is the distance between each value in the data set and their mean or median calculations. Absolute deviation usage is not so common with standard deviation but it is highly similar and used to measure the spread. There are particular situations when two different data sets with variable spreads produce the exactly same absolute deviation. However, this is possible standard deviation is also the same for different data sets. If you will consider real-life scenarios then absolute deviations are always more accurate and suitable to use as compared to the standard deviations. Not only they are accurate in real-life situations but simpler to calculate as well. You must be wondering how can you calculate the average deviation in mathematic. For this purpose, you just have to replace the mean value with the median values. That’s all for the day! Don’t forget to share the experience how did you calculate the average deviations in your case. Related posts: List of Basic Maths Formulas for Class 5 to 12 What is Mean Median Mode? List of Basic Median Mean Mode Formula Margin of Error Formula | Sampling, Standard, Percent Error Formula Effect Size Formula with Problem Solution & Solved Example CPK Formula & CP Formula with Problem Solution & Solved Example What is Statistics? List of Basic Statistics Formulas Population Mean Formula – Problem Solution with Solved Example Linear Correlation Coefficient Formula | Coefficient of Variation Formula Difference of Squares Formula | Regression Sum of Squares Formula List of Maths Formulas for Class 8th CBSE Data Handling Formulas for Class 8 Maths Chapter 5 Maths Formulas For Class 11 List of Basic Algebra Formulas for Class 5 to 12 List of Maths Formulas for Class 7th CBSE What is Sample Mean Formula? Standard Error Of The Sample Mean Formula Absolute Value Formula with Problem Solved Example Hypothesis Testing Formula with Problem Solution & Solved Example Data Handling Formulas for Class 7 and Class 6 Relative Standard Deviation Formula | Standard Form & Error Formula Average Rate Of Change Formula Made Simple Weighted Mean Formula | Weighted Average | Weighted Arithmetic Related Topics: Up Next Arithmetic Progression Formula with Problem Solution & Solved Example Don't Miss Equation of a Circle Formula with Problem Solution & Solved Example Continue Reading Latest Popular Guest Post2 days ago Is Artificial Intelligence Really Making the World A Better Place? Math2 weeks ago How to calculate Quartile and Interquartile Range? Guest Post2 weeks ago Best Methods of Being Smarter and Faster in Your Learning Guest Post2 weeks ago The Homework Catapult Launches Whom – Your Child or You? Learn2 weeks ago Everything You Should Know About Remote Training Guest Post2 weeks ago How to Write an Admission Essay Guest Post3 weeks ago Some Aspects of Online Teaching and Learning in Higher Education Guest Post4 weeks ago How Important Is Personal Touch In Academic Writing? Guest Post1 month ago How to Use Better Vocabulary in Writing English Essays Guest Post1 month ago Top 8 Apps for College Students to Use for Writing Notes Math1 year ago List of Basic Maths Formulas for Class 5 to 12 Math3 years ago Percentage Formulas | How to Calculate Percentages of a Number? Math2 years ago What is (a-b)^3 Formula? a^3-b^3 Formula | (a-b)^2 | (a+b-c)^2 Math1 year ago Average Rate Of Change Formula Made Simple Math3 years ago Y Intercept & X Intercept Formula | Slope Intercept Form & Equation English Vocabulary1 year ago Vegetables Name In English And Hindi With Pictures English Vocabulary1 year ago Animals Name for Kids in English and Hindi with Pictures Math3 years ago What is Integration? List of Integration by Parts Formulas Math2 years ago What Is Loan Amortization Formula? Calculation & Example? Math3 years ago Surface Area of a Triangular Prism Formula & Volume of a Triangular Advertisement Important Maths Formula Direction Of A Vector Formula Probability Distribution Formula Quartile Formula Circumference of a Circle Formula Decay Formula Margin of Error Formula Population Mean Formula Infinite Geometric Series Formula Double Time Formula Linear Approximation Formula Cosine Formula Spherical Segment Formula Proportion Formula Rectangular Prism Formula R Squared Formula Triangular Prism Formula Statistical Significance Formula Difference of Squares Formula Vertex Formula Perfect Square Formula Vieta Formula Right Angle Formula U Substitution Formula Percentage Change Formula Regular Square Pyramid Formula Gross Profit Formulas Trajectory Formula Exponential Formulas Sample Mean Formula Quotient Formulas Real Number Box Formulas Simple Interest Formula X& Y Intercept Formulas Triangular Pyramid Formula Coefficient Formulas Distance Formula Arithmetic Sequence Formulas Weighted Mean Formula Parallelogram Formulas Multiplication Table Pentagon Formulas Volume Of Parallelepiped Formula Octagon Formulas Volume Of An Ellipsoid Formula Binary Formulas Volume Of A Square Pyramid Formula Binomial Formulas Charge Density Formula Isosceles Triangle Formulas Complex Number Power Formula Equilateral Triangle Formulas Diagonal Formula Triangle Formulas Division Formula Area of Cube Formulas Diameter Formula Sphere Formulas Coin Toss Probability Formula Trapezoid Formulas Circle Graph Formula Hexagon Formulas Chord Length Formula Cube Formulas Cofunction Formulas Discount Formulas Cofactor Formula Rhombus Formulas Cpk Cp Formula Cone Formulas Degree And Radian Measure Formula Equation Formulas Consecutive Integers Formula Cylinder Formulas Interpolation Formula Pythagoras Formulas Prime Number formula Matrix Formulas Euler Maclaurin formula Area of Circle Formulas Frequency Distribution formula Circle Formulas Hypergeometric Distribution formula Compound Interest Formulas Implicit Differentiation formula Completing the Square Formulas Inverse Function formula Square Formulas Inverse Hyperbolic Functions formula Factorial Formulas Pearson Correlation formula Statistics Formulas Confidence Interval formula Linear Formulas Lagrange Interpolation formula Derivative Formulas Hypothesis Testing formula Differentiation Formulas Kite formula Pyramid Formulas Degrees of Freedom formula Rectangle Formulas Interquartile Range formula Probability Formulas Function Notation formula Mean Median Mode Formulas Gaussian Distribution formula Vector Formulas Hyperbolic Function formula Ellipse Formulas What Is Numbers? Permutation & Combination Formulas Area under the Curve Formula Complex Number Formulas Axis of Symmetry Formula Calculus Formulas Arithmetic Progression Formula Integration Formulas Average Deviation Formula Trigonometry Formulas Equation of a Circle Formula Polynomial Formulas Chain Rule Formula Geometry Formulas Quadratic Interpolation Formula Algebra Formulas Change of Base Formula LCM Formulas Absolute Value Formula Percentage Formulas Discriminant Formula Effect Size Formula