Math Interquartile Range Formula with Problem Solution & Solved Example More Videos The interquartile range in mathematics is a measure of middle value in the given data set. Whenever a range is measured, there is one beginning value and the ending value in the dataset with bulk values in between. It can be used to measure the spread i.e. average or the median when you want to test school performance or SAT scores etc. In general, the interquartile range formula is the subtraction of first quartile value from the third quartile value as mentioned below – \[\large IQR=Q_{3}-Q_{1}\] Where, IQR=Inter-quartile range Q_{1} = First quartile Q_{3} = Third quartile Take an example where all datasets are arranged on a number line. If you wanted to calculate any particular value from the dataset that is centred at zero and stretching values infinitely either above zero or below zero in a series. Once you have the plotted the values on the number line, the smallest or the largest values in a dataset will set the set the boundaries for a particular interval space that contains all data points in a set. Data sets could also be divided in percentages instead of quarters. There is an option to use calculator as well but we strongly recommend to understand the logic first so that you can use the calculator fruitfully. The IQR concept is generally used to spread out the data points in a data set. The higher the IOQ value, the data points would spread out more in the same ratio around the mean. This is best to use with other measurements too like median, cluster tendency or more. Related posts: Quartile Formula – First Quartile, Third Quartile & Lower Quartile Formula What is Mean Median Mode? List of Basic Median Mean Mode Formula Relative Standard Deviation Formula | Standard Form & Error Formula List of Basic Maths Formulas for Class 5 to 12 Average Deviation Formula with Problem Solution & Solved Example Frequency Distribution Formula with Problem Solution & Solved Example Weighted Mean Formula | Weighted Average | Weighted Arithmetic Volume of an Ellipsoid Formula with Problem Solution & Solved Example Sample Variance Formula In Statistics What is Statistics? List of Basic Statistics Formulas Linear Approximation Formula | Linear Interpolation & Regression Formula CPK Formula & CP Formula with Problem Solution & Solved Example Mid Point Theorem Proof – Converse | Mid Point Theorem Formula Average Rate Of Change Formula Made Simple What Is The Distance Formula? How To Calculate Distance Between Two Points? Inverse Function Formula with Problem Solution & Solved Example What is Triangle? Area of a Triangle Formula & Perimeter of a Triangle Change of Base Formula with Problem Solved Example Discount Formula – Discount Rate & Discount Percentage Formulas What is Binary? Binary to Decimal & Decimal to Binary Formula What is Apollonius Theorem? Apollonius Theorem Proof Related Topics: Up Next Degrees of Freedom Formula with Problem Solution & Solved Example Don't Miss Function Notation Formula with Problem Solution & Solved Example Continue Reading Latest Popular Guest Post5 hours ago How long should I study for in a session? Guest Post5 hours ago Math Mistakes in Real World Guest Post5 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? 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