Definition of Mean
•
0 likes•410 views
Find out the definition of mean, how to find it, and why it's useful. To watch this as a video and learn more, visit http://LearnAlgebraFaster.com/ss2/
Report
Share
Report
Share
Recommended
Definition of Median
Find out the definition of median, how to find it, and why it's useful. To watch this as a video and learn more, visit http://LearnAlgebraFaster.com/ss3/
2ใบกิจกรรมordering whole numbers
The document contains instructions and examples for ordering integers on number lines and comparing integers using symbols like =, <, >, ≤, ≥. It asks the reader to draw number lines, write the correct symbols in circles, arrange sets of integers in descending and ascending order, and identify the largest/smallest numbers in sets.
2. Real numbers
1. The document defines different types of real numbers including natural numbers, whole numbers, integers, rational numbers, and irrational numbers. It discusses their properties and how to represent them on a number line.
2. Rational numbers can be terminating or non-terminating recurring decimals. Irrational numbers have non-terminating, non-recurring decimals. Surds are irrational roots of rational numbers.
3. The document covers operations and rationalization of like surds, binomial quadratic surds, and the definition and properties of absolute value.
Tugas matik ii
The document provides examples of factorizing quadratic equations and completing the square to solve quadratic equations. It discusses:
1) Factoring quadratic expressions like x2 + 5x - 50, x2 + 3x, and 2x2 + 3x + 1.
2) Completing the square to solve equations like x2 + 5x + 4 = 0 and 2x2 - 14x + 12 = 0.
3) Using the quadratic formula to solve equations like x2 - 15x + 30 = 0, x2 + 8x - 20 = 0, and x2 + 3x = 0.
4) Setting the discriminant equal to 0 to find the value of p that makes the equation
Definition of Mode
Find out the definition of mode, how to find it, and why it's useful. To watch this as a video and learn more, visit http://LearnAlgebraFaster.com/ss4/
Two step equations quiz-practice
This document contains 6 two-step equations to solve using the inverse operations (symbolic) method. The equations involve variables such as x, and operations such as addition, subtraction, multiplication and division. The goal is to isolate the variable on one side of the equal sign by performing the inverse operation of the other side.
Clase1
This document provides examples of multiplying monomials by binomials. It shows the step-by-step work for multiplying terms like 3(x+5), -4(x-6), 5x(4x+7), and -2x(3x-4). The document demonstrates that to multiply a monomial by a binomial, one should multiply the monomial by each term of the binomial. It then lists additional practice problems for the student to work through independently.
Concept 3
This math problem involves solving a system of equations for x and y. The equations 2x-3y=-24 and -2x-12y=-36 are multiplied by -2 and added together to eliminate one variable, resulting in -15y=-60. Then y is isolated and found to be 4, which is substituted into one of the original equations and solved for x, finding x=-6.
Recommended
Definition of Median
Find out the definition of median, how to find it, and why it's useful. To watch this as a video and learn more, visit http://LearnAlgebraFaster.com/ss3/
2ใบกิจกรรมordering whole numbers
The document contains instructions and examples for ordering integers on number lines and comparing integers using symbols like =, <, >, ≤, ≥. It asks the reader to draw number lines, write the correct symbols in circles, arrange sets of integers in descending and ascending order, and identify the largest/smallest numbers in sets.
2. Real numbers
1. The document defines different types of real numbers including natural numbers, whole numbers, integers, rational numbers, and irrational numbers. It discusses their properties and how to represent them on a number line.
2. Rational numbers can be terminating or non-terminating recurring decimals. Irrational numbers have non-terminating, non-recurring decimals. Surds are irrational roots of rational numbers.
3. The document covers operations and rationalization of like surds, binomial quadratic surds, and the definition and properties of absolute value.
Tugas matik ii
The document provides examples of factorizing quadratic equations and completing the square to solve quadratic equations. It discusses:
1) Factoring quadratic expressions like x2 + 5x - 50, x2 + 3x, and 2x2 + 3x + 1.
2) Completing the square to solve equations like x2 + 5x + 4 = 0 and 2x2 - 14x + 12 = 0.
3) Using the quadratic formula to solve equations like x2 - 15x + 30 = 0, x2 + 8x - 20 = 0, and x2 + 3x = 0.
4) Setting the discriminant equal to 0 to find the value of p that makes the equation
Definition of Mode
Find out the definition of mode, how to find it, and why it's useful. To watch this as a video and learn more, visit http://LearnAlgebraFaster.com/ss4/
Two step equations quiz-practice
This document contains 6 two-step equations to solve using the inverse operations (symbolic) method. The equations involve variables such as x, and operations such as addition, subtraction, multiplication and division. The goal is to isolate the variable on one side of the equal sign by performing the inverse operation of the other side.
Clase1
This document provides examples of multiplying monomials by binomials. It shows the step-by-step work for multiplying terms like 3(x+5), -4(x-6), 5x(4x+7), and -2x(3x-4). The document demonstrates that to multiply a monomial by a binomial, one should multiply the monomial by each term of the binomial. It then lists additional practice problems for the student to work through independently.
Concept 3
This math problem involves solving a system of equations for x and y. The equations 2x-3y=-24 and -2x-12y=-36 are multiplied by -2 and added together to eliminate one variable, resulting in -15y=-60. Then y is isolated and found to be 4, which is substituted into one of the original equations and solved for x, finding x=-6.
A17-2and7-3 worksheet
This document contains 12 algebra word problems involving systems of linear equations. Students are asked to solve for the variables x and y. The problems cover a variety of equation types including single variable equations, addition/subtraction of terms, and multiplication of terms by constants. Solving the systems of equations requires combining like terms and eliminating variables.
Equations and inequalities w sheet
The document contains practice problems for solving linear equations and writing inequalities. There are 6 linear equations to solve in part 1 and 3 more in part 2. Part 1 also involves verifying the solutions. Part 3 involves writing inequalities corresponding to statements using appropriate symbols, such as writing an inequality that w is less than or equal to 0 as w ≤ 0. Part 4 involves writing double inequalities using symbols, such as writing an inequality that e is greater than or equal to -2 and less than 2 as -2 ≤ e < 2. The final part asks to graph various inequalities on a number line.
Maths
This document discusses different methods for solving systems of linear equations, including graphical and algebraic approaches. It defines linear equations as equations that can be written in the form ax + by + c = 0, and explains that a system of linear equations can have one solution, no solution, or infinitely many solutions depending on whether the lines intersect at one point, do not intersect, or coincide. The algebraic methods covered are substitution, elimination, and cross-multiplication. Examples are provided for each method.
5.4 abs value inequalities
The document provides instructions for solving absolute value inequalities and graphing their solutions on a number line. It defines the properties of absolute value, including that the absolute value of a term is less than, equal to, or greater than a constant between the two values that make the absolute value equal to the constant, or outside those values if the absolute value is greater than the constant. It then gives examples of solving different absolute value inequalities and graphing their solutions.
Media pembelajaran matematika (operasi bilangan Bulat)
The document discusses different models for performing addition and subtraction on integer numbers using a number line approach. It explains modeling addition and subtraction visually by moving left or right on the number line based on the signs and values of the numbers. Several examples are shown of calculating expressions like 2 + 3, -2 + 3, 2 - 3, and 2 + (-3) using the number line models. The forward-backward model and two arrow models are described as ways to represent the operations and determine the sum or difference.
2.2-2.5 review (2)
The document contains several examples of polynomial equations and their solutions. Various polynomials are written with their coefficients and variables. The solutions, or roots, of each polynomial equation are listed below them, including real and complex roots in some cases.
Algebra 5 Point 6
This document discusses solving equations with absolute value and provides examples of how to rewrite and solve absolute value equations in 1-3 sentences:
Absolute value graphs as a disjunction. For example, the equation |x| = 2 can be written as x = 2 or x = -2.
To solve |x - 1| = 3, rewrite as x - 1 = 3 or x - 1 = -3 and solve each inequality separately.
To solve |9 - 2x| = 15, rewrite the absolute value expression and solve the resulting inequality.
To solve -2|3y + 5| + 4 = 2, rewrite the absolute value expression, combine like terms, and solve the resulting
Exit slip
This document contains 4 math equations with variables on both sides of the equal sign. Each equation has variables x along with addition or subtraction of other terms, such as numbers or additional variables, on both sides of the equal sign. The goal appears to be solving each equation for the variable x.
Data random
This document contains code to generate and plot random data for Fridays, Saturdays, and Sundays over a period of 20 time steps. The code defines random noise signals for each day and adds them to baseline data sets. It then fits linear regression lines to each daily data set and original data and plots the results in three separate figures, comparing the original, predicted, and randomised data for each day.
Linear equation 2 2
The document discusses linear equations and their graphs. It explains how to write linear equations in standard form (Ax + By = C) and how to find the x-intercept and y-intercept of a linear equation by setting x or y equal to 0 and solving for the other variable. The x-intercept is where the graph crosses the x-axis and the y-intercept is where it crosses the y-axis. Some examples are worked through, including cases where there is no x-intercept for a horizontal line.
Tugas ii (2)
1. The document lists the members of group b including the group leader and tasks.
2. It provides examples of factorizing quadratic equations such as x^2 + 5x - 50 = 0 into (x - 5)(x + 10) = 0.
3. It explains completing the square to write quadratic equations in the form of x^2 = p such as (x - 7)^2 = -14 + 12 for x^2 - 14x + 12 = 0.
4. It uses the quadratic formula to solve equations such as determining the value of p that makes the equation (p + 3)x^2 + 3x - 4 = 0 have two equal roots.
Order Of Operations
The order of operations is a set of rules for performing mathematical operations in the proper sequence. It states that operations inside parentheses should be performed first, followed by exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right. The document provides examples of applying the order of operations to evaluate expressions step-by-step. It also includes practice problems and resources for further learning.
Mathematica6
The document provides instructions for using Mathematica 6.0 to create direction field plots. It explains how to access Mathematica 6.0 from ITaP machines, how notebooks work in Mathematica, and provides the commands to generate a direction field plot for the differential equation y=x^2-1 between x=-3 and x=3. An example output of these commands in a Mathematica notebook is also shown.
Expresiones algebraicas
The document discusses algebraic expressions including:
- Adding, subtracting, and finding the numerical value of expressions
- Factorizing expressions using the product of sums/differences and factoring trinomials
- Simplifying fractions through factoring the numerator and denominator
- Performing operations like multiplication, division, addition and subtraction on fractions
It also covers factorizing algebraic expressions using Ruffini's method.
Rational number for class VIII(Eight) by G R AHMED , K V KHANAPARA
1. A rational number is any number that can be expressed as the ratio of two integers.
2. Examples of rational numbers given in the document include fractions like 3/5, 4/5, and terminating or repeating decimals that can be written as fractions.
3. To find 5 rational numbers between 3/5 and 4/5, we can write fractions that increment by 1/5: 3/5, 11/15, 13/15, 17/15, 19/15, 4/5.
5.2 Solving Quadratic Equations by Factoring
The document discusses various methods for factoring quadratic expressions and solving quadratic equations by factoring. These include:
- Factoring trinomials of the form x^2 + bx + c by finding two numbers whose product is c and sum is b
- Factoring when coefficients are negative
- Factoring expressions where the leading coefficient is not 1
- Factoring special patterns like the difference of squares and perfect square trinomials
- Factoring out monomials
- Using the zero product property to set each factor of a factored quadratic equation equal to 0 to solve for the roots/zeros
04 factorising, roots, zeros, quadratics eqn (2)
This document discusses factorizing quadratics and finding their zeros or roots. It explains that a quadratic can be factored into two linear factors in the form (x + m)(x + n), where m + n equals the quadratic's b coefficient and m * n equals its c coefficient. Finding the factors of the c coefficient that add up to b allows determining the values of m and n. The zeros of a quadratic are the values where its factors are equal to 0, according to the zero factor property. These zeros are also known as the quadratic's roots.
Factoring
The document discusses the zero factor theorem and provides examples of using it to solve quadratic equations. The zero factor theorem states that if p and q are algebraic expressions, then pq = 0 if and only if p = 0 or q = 0. This means a quadratic equation can be solved by factoring it into two linear factors and setting each factor equal to zero. Five examples are provided that show factoring quadratic equations, applying the zero factor theorem to set the factors equal to zero, and solving for the roots.
Solving multi step equations
The document contains examples of solving various types of algebraic equations including:
1) Equations with multiplication and subtraction or addition such as 2x - 4 = 8 and 5x + 10 = 80.
2) Equations with fractions such as 2/3x + 2 = 8.
3) Equations involving division such as x/5 + 2 = 8.
4) Equations with collecting like terms such as 4x + 6x + 20 = 80.
5) Equations using the distributive property such as 10x – 3x -12 = 4x – 9x + 48.
Definition, process, classification
Chapters 9-11 of Fusion 2 discuss the writing modes of definition, process, and classification. Definition is explained as using synonyms, antonyms, context or history to formally state a word's meaning. Process details a series of chronological steps to achieve a result. Classification breaks a topic into distinct groups. Examples are provided for organizing each mode with transitions between steps or categories. A practice paragraph is identified as using the process mode by outlining brushing steps to remove hairballs. Another paragraph is recognized as using the classification mode by dividing smokers into groups. A final paragraph is deemed to employ definition by explaining the original meaning of "home" through context.
Business statistics
The document discusses the median, including its definition, calculation, merits, and demerits. The median is the middle value of a data set arranged in order. It is calculated by arranging the values from lowest to highest and selecting the middle one. Merits of the median include that it is simple to calculate, unaffected by outliers, and represents typical values. Demerits include that it lacks representativeness for widely dispersed data, is erratic for small data sets, and cannot undergo algebraic treatment. The document also provides formulas for calculating the median of individual series, discrete series, and continuous series.
6.describing a distribution
This document describes how to characterize the distribution of a quantitative variable in three steps: reporting the center, deviations from the center, and general shape. It discusses various measures of central tendency (mean, median, mode), variation (range, standard deviation, average deviation), and distribution shape (normal curve, skewness). The mean, median, and mode are introduced as measures of central tendency, along with how to calculate each one. Measures of variation like range, standard deviation, and average deviation are also defined and the formulas to compute them provided. Finally, the document discusses the normal distribution curve and how skewness indicates a distribution's departure from symmetry.
More Related Content
What's hot
A17-2and7-3 worksheet
This document contains 12 algebra word problems involving systems of linear equations. Students are asked to solve for the variables x and y. The problems cover a variety of equation types including single variable equations, addition/subtraction of terms, and multiplication of terms by constants. Solving the systems of equations requires combining like terms and eliminating variables.
Equations and inequalities w sheet
The document contains practice problems for solving linear equations and writing inequalities. There are 6 linear equations to solve in part 1 and 3 more in part 2. Part 1 also involves verifying the solutions. Part 3 involves writing inequalities corresponding to statements using appropriate symbols, such as writing an inequality that w is less than or equal to 0 as w ≤ 0. Part 4 involves writing double inequalities using symbols, such as writing an inequality that e is greater than or equal to -2 and less than 2 as -2 ≤ e < 2. The final part asks to graph various inequalities on a number line.
Maths
This document discusses different methods for solving systems of linear equations, including graphical and algebraic approaches. It defines linear equations as equations that can be written in the form ax + by + c = 0, and explains that a system of linear equations can have one solution, no solution, or infinitely many solutions depending on whether the lines intersect at one point, do not intersect, or coincide. The algebraic methods covered are substitution, elimination, and cross-multiplication. Examples are provided for each method.
5.4 abs value inequalities
The document provides instructions for solving absolute value inequalities and graphing their solutions on a number line. It defines the properties of absolute value, including that the absolute value of a term is less than, equal to, or greater than a constant between the two values that make the absolute value equal to the constant, or outside those values if the absolute value is greater than the constant. It then gives examples of solving different absolute value inequalities and graphing their solutions.
Media pembelajaran matematika (operasi bilangan Bulat)
The document discusses different models for performing addition and subtraction on integer numbers using a number line approach. It explains modeling addition and subtraction visually by moving left or right on the number line based on the signs and values of the numbers. Several examples are shown of calculating expressions like 2 + 3, -2 + 3, 2 - 3, and 2 + (-3) using the number line models. The forward-backward model and two arrow models are described as ways to represent the operations and determine the sum or difference.
2.2-2.5 review (2)
The document contains several examples of polynomial equations and their solutions. Various polynomials are written with their coefficients and variables. The solutions, or roots, of each polynomial equation are listed below them, including real and complex roots in some cases.
Algebra 5 Point 6
This document discusses solving equations with absolute value and provides examples of how to rewrite and solve absolute value equations in 1-3 sentences:
Absolute value graphs as a disjunction. For example, the equation |x| = 2 can be written as x = 2 or x = -2.
To solve |x - 1| = 3, rewrite as x - 1 = 3 or x - 1 = -3 and solve each inequality separately.
To solve |9 - 2x| = 15, rewrite the absolute value expression and solve the resulting inequality.
To solve -2|3y + 5| + 4 = 2, rewrite the absolute value expression, combine like terms, and solve the resulting
Exit slip
This document contains 4 math equations with variables on both sides of the equal sign. Each equation has variables x along with addition or subtraction of other terms, such as numbers or additional variables, on both sides of the equal sign. The goal appears to be solving each equation for the variable x.
Data random
This document contains code to generate and plot random data for Fridays, Saturdays, and Sundays over a period of 20 time steps. The code defines random noise signals for each day and adds them to baseline data sets. It then fits linear regression lines to each daily data set and original data and plots the results in three separate figures, comparing the original, predicted, and randomised data for each day.
Linear equation 2 2
The document discusses linear equations and their graphs. It explains how to write linear equations in standard form (Ax + By = C) and how to find the x-intercept and y-intercept of a linear equation by setting x or y equal to 0 and solving for the other variable. The x-intercept is where the graph crosses the x-axis and the y-intercept is where it crosses the y-axis. Some examples are worked through, including cases where there is no x-intercept for a horizontal line.
Tugas ii (2)
1. The document lists the members of group b including the group leader and tasks.
2. It provides examples of factorizing quadratic equations such as x^2 + 5x - 50 = 0 into (x - 5)(x + 10) = 0.
3. It explains completing the square to write quadratic equations in the form of x^2 = p such as (x - 7)^2 = -14 + 12 for x^2 - 14x + 12 = 0.
4. It uses the quadratic formula to solve equations such as determining the value of p that makes the equation (p + 3)x^2 + 3x - 4 = 0 have two equal roots.
Order Of Operations
The order of operations is a set of rules for performing mathematical operations in the proper sequence. It states that operations inside parentheses should be performed first, followed by exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right. The document provides examples of applying the order of operations to evaluate expressions step-by-step. It also includes practice problems and resources for further learning.
Mathematica6
The document provides instructions for using Mathematica 6.0 to create direction field plots. It explains how to access Mathematica 6.0 from ITaP machines, how notebooks work in Mathematica, and provides the commands to generate a direction field plot for the differential equation y=x^2-1 between x=-3 and x=3. An example output of these commands in a Mathematica notebook is also shown.
Expresiones algebraicas
The document discusses algebraic expressions including:
- Adding, subtracting, and finding the numerical value of expressions
- Factorizing expressions using the product of sums/differences and factoring trinomials
- Simplifying fractions through factoring the numerator and denominator
- Performing operations like multiplication, division, addition and subtraction on fractions
It also covers factorizing algebraic expressions using Ruffini's method.
Rational number for class VIII(Eight) by G R AHMED , K V KHANAPARA
1. A rational number is any number that can be expressed as the ratio of two integers.
2. Examples of rational numbers given in the document include fractions like 3/5, 4/5, and terminating or repeating decimals that can be written as fractions.
3. To find 5 rational numbers between 3/5 and 4/5, we can write fractions that increment by 1/5: 3/5, 11/15, 13/15, 17/15, 19/15, 4/5.
5.2 Solving Quadratic Equations by Factoring
The document discusses various methods for factoring quadratic expressions and solving quadratic equations by factoring. These include:
- Factoring trinomials of the form x^2 + bx + c by finding two numbers whose product is c and sum is b
- Factoring when coefficients are negative
- Factoring expressions where the leading coefficient is not 1
- Factoring special patterns like the difference of squares and perfect square trinomials
- Factoring out monomials
- Using the zero product property to set each factor of a factored quadratic equation equal to 0 to solve for the roots/zeros
04 factorising, roots, zeros, quadratics eqn (2)
This document discusses factorizing quadratics and finding their zeros or roots. It explains that a quadratic can be factored into two linear factors in the form (x + m)(x + n), where m + n equals the quadratic's b coefficient and m * n equals its c coefficient. Finding the factors of the c coefficient that add up to b allows determining the values of m and n. The zeros of a quadratic are the values where its factors are equal to 0, according to the zero factor property. These zeros are also known as the quadratic's roots.
Factoring
The document discusses the zero factor theorem and provides examples of using it to solve quadratic equations. The zero factor theorem states that if p and q are algebraic expressions, then pq = 0 if and only if p = 0 or q = 0. This means a quadratic equation can be solved by factoring it into two linear factors and setting each factor equal to zero. Five examples are provided that show factoring quadratic equations, applying the zero factor theorem to set the factors equal to zero, and solving for the roots.
Solving multi step equations
The document contains examples of solving various types of algebraic equations including:
1) Equations with multiplication and subtraction or addition such as 2x - 4 = 8 and 5x + 10 = 80.
2) Equations with fractions such as 2/3x + 2 = 8.
3) Equations involving division such as x/5 + 2 = 8.
4) Equations with collecting like terms such as 4x + 6x + 20 = 80.
5) Equations using the distributive property such as 10x – 3x -12 = 4x – 9x + 48.
What's hot (19)
Media pembelajaran matematika (operasi bilangan Bulat)
Media pembelajaran matematika (operasi bilangan Bulat)
Rational number for class VIII(Eight) by G R AHMED , K V KHANAPARA
Rational number for class VIII(Eight) by G R AHMED , K V KHANAPARA
Viewers also liked
Definition, process, classification
Chapters 9-11 of Fusion 2 discuss the writing modes of definition, process, and classification. Definition is explained as using synonyms, antonyms, context or history to formally state a word's meaning. Process details a series of chronological steps to achieve a result. Classification breaks a topic into distinct groups. Examples are provided for organizing each mode with transitions between steps or categories. A practice paragraph is identified as using the process mode by outlining brushing steps to remove hairballs. Another paragraph is recognized as using the classification mode by dividing smokers into groups. A final paragraph is deemed to employ definition by explaining the original meaning of "home" through context.
Business statistics
The document discusses the median, including its definition, calculation, merits, and demerits. The median is the middle value of a data set arranged in order. It is calculated by arranging the values from lowest to highest and selecting the middle one. Merits of the median include that it is simple to calculate, unaffected by outliers, and represents typical values. Demerits include that it lacks representativeness for widely dispersed data, is erratic for small data sets, and cannot undergo algebraic treatment. The document also provides formulas for calculating the median of individual series, discrete series, and continuous series.
6.describing a distribution
This document describes how to characterize the distribution of a quantitative variable in three steps: reporting the center, deviations from the center, and general shape. It discusses various measures of central tendency (mean, median, mode), variation (range, standard deviation, average deviation), and distribution shape (normal curve, skewness). The mean, median, and mode are introduced as measures of central tendency, along with how to calculate each one. Measures of variation like range, standard deviation, and average deviation are also defined and the formulas to compute them provided. Finally, the document discusses the normal distribution curve and how skewness indicates a distribution's departure from symmetry.
Merits and demerits - method of job evaluation - compensation management - ...
The point method is a superior and widely used method of evaluating jobs. It forces raters to look into all key factors and sub-factors of a job.
Mean, median, and mode ug
This document defines and explains key statistical concepts including measures of central tendency (mean, median, mode), measures of dispersion (range, standard deviation), and properties of distributions (skewness, symmetry). It provides examples of calculating the mean, median, mode, and standard deviation. It also describes the empirical rule and how a certain percentage of values in a normal distribution fall within 1, 2, or 3 standard deviations of the mean.
Carpal tunnel
Carpal tunnel syndrome is caused by compression of the median nerve in the carpal tunnel. It is characterized by numbness and tingling in the hand and fingers, especially at night. While splinting and steroid injections provide short-term relief, surgical release of the transverse carpal ligament is often required for long-term symptom relief. Open carpal tunnel release has traditionally been used but endoscopic techniques have gained popularity due to potentially faster recovery times. Both open and endoscopic techniques have been shown to significantly improve symptoms and function, though endoscopic release may result in less postoperative pain.
Dr digs central tendency
This document discusses various measures of central tendency including the mean, median, and mode. It provides definitions and formulas for calculating each measure. The mean is the average and is calculated by summing all values and dividing by the total number of data points. The median is the middle value when data is arranged in order. The mode is the value that occurs most frequently in the data set. Examples are given to demonstrate calculating each measure. The document also discusses advantages and limitations of each central tendency measure.
Measures of dispersion or variation
This document discusses various measures of dispersion used to describe how varied or spread out a set of data values are from the average. It describes range, interquartile range, mean deviation, standard deviation, and the Lorenz curve. Standard deviation is highlighted as the most important measure, being easy to calculate, taking all data points into account equally, and indicating how far values typically are from the average in a normal distribution. The document provides formulas and explains properties and limitations of each measure.
Measure of central tendency
This document discusses various measures of central tendency including arithmetic mean, median, mode, and quartiles. It provides definitions and formulas for calculating each measure, and describes how to calculate the mean and median for different types of data distributions including raw data, continuous series, and less than/more than/inclusive series. It also covers weighted mean, combined mean, and properties and limitations of the arithmetic mean.
Thiyagu measures of central tendency final
THIS SLIDES EXPLORES THE CONCEPT OF MEASURES OF CENTRAL TENDENCY. AND ALSO GIVE THE DEFINITION WITH EXAMPLE OF MEAN, MEDIAN AND MODE.
Measure of Central Tendency
The document discusses different measures of central tendency including the mean, median, and mode. The mean is the average value calculated by adding all values and dividing by the total number of values. The median is the middle value when values are arranged from lowest to highest. The mode is the most frequently occurring value in the data set. The document provides examples of calculating each measure and discusses their advantages and disadvantages.
Kwoledge of calculation of mean,median and mode
This document provides definitions and explanations of key statistical concepts including:
1. Statistics is defined as the science of collecting, classifying, presenting, and interpreting data. Central tendency measures like mean, median, and mode are used to summarize data.
2. Measures of dispersion like range, interquartile range, mean deviation, and standard deviation describe how spread out the data is from the central tendency. Standard deviation is the most accurate measure as it considers both the deviation from the mean and the mathematical signs.
3. Examples are provided to demonstrate calculating the mean, median, mode, and standard deviation for both ungrouped and grouped data series. The standard deviation provides the best estimation of the population mean when
Merits & demerits of franchising
Merits & demerits of franchisingWe Learn - A Continuous Learning Forum from Welingkar's Distance Learning Program.
In this presentation, we will discuss about the importance and merits for giving franchise and becoming franchise, the various drawbacks of owning and giving franchise, and the different benefits obtained from franchisees,
To know more about Welingkar School’s Distance Learning Program and courses offered, visit: http://www.welingkaronline.org/distance-learning/online-mba.html
Chapter 11 ,Measures of Dispersion(statistics)
This document discusses various measures of dispersion, which describe how spread out or varied the values in a data set are. It describes absolute measures like range and relative measures like coefficient of range. It also discusses interquartile range, mean deviation, standard deviation, and the Lorenz curve. Quartile deviation and mean deviation are simple measures but are less accurate and reliable. Standard deviation is a more certain measure but gives more importance to extreme values. The Lorenz curve measures deviation from equal distribution for variables like income, wealth, wages and more.
Divide and conquer - Quick sort
divide and conquer , Example , benefits, Quick sort algorithm, complexity of quick sort, merits of quick sort
Measure of dispersion part I (Range, Quartile Deviation, Interquartile devi...
This tutorial gives the detailed explanation of "Measure of Dispersion" (Range, Quartile Deviation, Interquartile Range, Mean Deviation) with suitable illustrative example with MS Excel Commands of calculation in excel.
Equity shares
What are equity shares? Types of Equity Shares, Merits & Demerits of Equity shares & Features of Equity Shares
Types of test
This document discusses different types of tests including true/false, short answer, essay, and matching tests. It provides details on each type, including guidelines for constructing them and advantages/disadvantages. True/false tests can assess basic knowledge but have high guessing rates. Short answer tests reduce guessing and assess lower-level thinking but are time-consuming to score. Essay tests measure higher-order skills but are difficult to score reliably. Matching tests are easy to construct and score but often assess trivial information. Proper construction and clear guidelines are important for all test types.
Measures of central tendency
This document discusses various measures of central tendency including:
- Arithmetic mean, which is the most widely used measure. It is defined as the sum of all values divided by the number of values.
- Geometric mean, which gives more weight to smaller values. It is used to average rates of change.
- Median, which is the middle value when data is arranged from lowest to highest. Half of the data will be above and below the median.
- Mode, which is the most frequently occurring value in the data set. It indicates the most typical or probable value.
The document also discusses choosing an appropriate measure based on the data characteristics and purpose of the analysis. Quartiles, deciles, and
Viewers also liked (19)
Merits and demerits - method of job evaluation - compensation management - ...
Merits and demerits - method of job evaluation - compensation management - ...
Measure of dispersion part I (Range, Quartile Deviation, Interquartile devi...
Measure of dispersion part I (Range, Quartile Deviation, Interquartile devi...
Similar to Definition of Mean
Math quiz bee
The document contains multiple choice questions testing various math concepts. The questions cover topics like: properties of angles, algebraic expressions, sets, integers, functions, rates of change, equations, and word problems involving percentages.
bobok
This document provides an overview of MATLAB, including:
- MATLAB is a software package for numerical computation, originally designed for linear algebra problems using matrices. It has since expanded to include other scientific computations.
- MATLAB treats all variables as matrices and supports various matrix operations like addition, multiplication, element-wise operations, and matrix manipulation functions.
- MATLAB allows plotting of 2D and 3D graphics, importing/exporting of data from files and Excel, and includes flow control statements like if/else, for loops, and while loops to structure code execution.
- Efficient MATLAB programming involves using built-in functions instead of custom functions, preallocating arrays, and avoiding nested loops where possible through matrix operations.
8th grade packet c
This document is a summer math review packet for students entering 8th grade. It contains 50 math problems covering various topics like order of operations, integers, algebraic expressions, fractions, decimals, percents, ratios, proportions, mean, median, mode, range, coordinate system, and transformations. The packet is designed to review these essential math concepts over summer break to prepare students for 8th grade level work.
Hprec2 5
This document provides an overview of solving inequalities, including:
1) The principles for solving inequalities are similar to equations but the direction of the inequality changes when multiplying or dividing by a negative number.
2) Interval notation is used to represent the solutions of inequalities on the number line.
3) To solve inequalities, determine the zeros of the function and where the graph is above or below the x-axis to identify the intervals of solutions.
Advanced algebra
The document discusses various topics in advanced algebra including inequalities, arithmetic progressions, geometric progressions, harmonic progressions, permutations, combinations, matrices, determinants, and solving systems of linear equations using matrices. Key properties and formulas are provided for each topic. Examples are included to demonstrate solving problems related to each concept.
Chapter 1 Functions Relations V3
This document provides an overview of mathematical functions and relations through a series of lessons:
1. It defines key concepts like domains, ranges, and intervals used to describe functions and relations. Functions are defined as relations where no two ordered pairs have the same first element.
2. One-to-one functions are introduced, which satisfy both vertical and horizontal line tests. Only one-to-one functions can have inverse functions.
3. The process for finding the inverse of a function is described. The inverse is formed by swapping the inputs and outputs of the original function and solving for the new output. The domain of the original becomes the range of the inverse, and vice versa.
4
20100528
The document provides examples of using MATLAB to perform calculations and functions. It demonstrates operations like matrix multiplication, taking the inverse of a matrix, reshaping arrays, and using functions like sort, sin, and cos. It also shows accessing elements of matrices and arrays, defining vectors and matrices, and returning errors when inputs are invalid.
20100528
The document provides examples of using MATLAB to perform calculations and functions. It demonstrates operations like matrix multiplication, taking the inverse of a matrix, reshaping arrays, and using functions like sort, sin, and cos. It also shows accessing elements of matrices and arrays, defining vectors and matrices, and returning errors when inputs are invalid.
1561 maths
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
Tech math 2 day 1 review
The document provides an overview of topics covered in a Tech Math 2 class, including:
- Letter patterns and levels
- Classroom expectations
- Review of real number types and operations
- Coordinate plane and plotting points
- Exponent rules
The teacher provides warm-up problems, course expectations, and a review of key concepts like real numbers, the coordinate plane, exponents, and comparing/operating on real numbers.
Matrix introduction
Classification Matrices execute measurements, for example, Log-Loss, Accuracy, AUC(Area under Curve), and so on. Another case of metric for assessment of AI calculations is exactness, review, which can be utilized for arranging calculations principally utilized via web indexes.
Matrix introduction and matrix operations.
Matrix is the structure squares of information science. They show up in different symbols across dialects. From Numpy clusters in Python to data frames in R, to lattices in MATLAB. The Matrix in its most essential structure is an assortment of numbers masterminded in a rectangular or cluster like the style
1.Select the graph of the quadratic function ƒ(x) = 4 – x2. Iden.docx
1.
Select the graph of the quadratic function ƒ(x) = 4 – x2. Identify the vertex and axis of symmetry. Identify the correct graph by noting it in the space below: 1st, 2nd, 3rd, 4th, or 5th.
2.
Select the graph of the quadratic function ƒ(x) = x2 + 3. Identify the vertex and axis of symmetry. Identify which of the graphs listed below is the correct one: 1st, 2nd, 3rd, 4th, or 5th.
3.
Determine the x-intercept(s) of the quadratic function: ƒ(x) = x2 + 4x – 32
(-4,0), (8,0)
(0,0), (7,0)
(4,0), (-8,0)
(0,0), (-7,0)
no x-intercept(s)
4.
Perform the operation and write the result in standard form: (3x2 + 5) – (x2 – 4x + 5)
3x2 + 4x
2x2 + 4x + 5
2x2 - 4x
2x2 + 4x
2x2 + 4x - 5
5.
Multiply or find the special product: (x+4)(x+9)
x2 + 13x
x2 + 4x + 36
x2 + 36
x2 + 13x + 36
x2 + 13x + 9
6.
Evaluate the function
1/8
1/6
1/4
1/7
1/5
7.
The expression 9/5 C+32 where C stands for temperature in degrees Celsius, is used to convert Celsius to Fahrenheit. If the temperature is 45 degrees Celsius, find the temperature in degrees Fahrenheit.
8.
If 3 is subtracted from twice a number, the result is 8 less than the number. Write an equation to solve this problem.
9.
Plot the points and find the slope of the line passing through the pair of points (0,6), (4,0). Identify the correct graph from the ones listed below: 1st, 2nd, 3rd, or 4th.
10.
Graphically estimate the x- and y- intercepts of the graph:
y = x3 - 9x
11.
Find the slope of a line that passes through the given points
(-2,1) (3,4)
3/5
5/3
-7/5
1/2
12.
Determine whether the lines are parallel, perpendicular, both, or neither.
Parallel
Perpendicular
Both
Neither
13.
Mike works for $12 an hour. A total of 15% of his salary is deducted for taxes and insurance. He is trying to save $700 for a new bicycle. Write an equation to help determine how many hours he must work to take home $700 if he saves all of her earnings?
12h - .15 = 700
12h + .15(12h) = 700
h - .15(12h) = 700
12h - .15(12h) = 700
14.
Which of the following would NOT represent a parabola in real life?
The McDonald’s arches
The trajectory of a ball thrown up in the air
The cables on a suspension bridge
A pitched roof
15.
Determine whether the value of x=0 is a solution of the equation.
5x-3 = 3x+5
True
False
16.
Which of the following represents the general formula of a circle?
y = ax2 + bx +c
x2 + y2 = r2
Ax + By = C
y = mx + b
17.
When should you use the quadratic formula?
When a quadratic equation CANNOT be factored easily or at all
When a quadratic equation CAN be factored easily
When a linear equation CANNOT be factored easily or at all
When a linear equation CAN be factored easily
18.
Factor the Trinomial: x2 + 14x + 45
(x-5)(x-9)
(x+5)(x-9)
(x+5)(x+9)
(x-5)(x+9)
19.
Solve the following by extracting the square roots:
X^2-4=0
20.
In a given amount of time, James drove twice as far as Rachel. Alto ...
PEMDAS - The Proper Order of Mathematical Operations
The document discusses the proper order of mathematical operations known as PEMDAS. It covers absolute values, addition and subtraction of signed numbers, multiplication and division of signed numbers, and the order of operations using PEMDAS. Examples are provided to illustrate how to use PEMDAS to simplify expressions involving multiple operations. Exercises with answers are included to help readers practice applying these concepts.
2010 assessment review_homework_1-4-done
The document provides an assessment review with multiple choice questions about math concepts like algebra, geometry, and coordinate planes. It includes 15 questions testing skills like simplifying expressions, solving equations, factoring polynomials, and graphing lines. The questions are formatted with explanations of steps required to arrive at the answers.
Strategic Intervention Materials
This document provides an overview and activities on solving quadratic equations by factoring. It begins by defining quadratic equations and their standard form. Several activities are presented to practice identifying quadratic equations, rewriting them in standard form, and factoring trinomials of the form x^2 + bx + c. The final activity involves factoring quadratic equations to determine their roots. The document aims to build mastery of skills needed to solve quadratic equations using factoring techniques.
Introduction to matlab lecture 2 of 4
Introduction to Matlab
Lecture 2
Creating and manipulating objects: Variables (scalars, vectors, matrices, text strings), Operators (arithmetic, relational, logical) and built-in functions
8 maths-ncert-chapter-1
Rational numbers can be used to solve equations that cannot be solved using only natural numbers, whole numbers, or integers. Rational numbers are numbers that can be expressed as fractions p/q where p and q are integers and q is not equal to 0. Rational numbers are closed under addition, subtraction, and multiplication, but not division. They are commutative for addition and multiplication, but not for subtraction or division. Addition is associative for rational numbers, but subtraction is not.
A quick introduction to R
Very quick introduction to the language R. It talks about basic data structures, data manipulation steps, plots, control structures etc. Enough material to get you started in R.
sim-140907230908-phpapp01.pptx
This document provides an overview of solving quadratic equations by factoring. It discusses identifying quadratic equations, rewriting them in standard form, factoring trinomials in the form x^2 + bx + c, and determining roots. Several examples of factoring trinomials and solving quadratic equations are shown. Activities include identifying quadratic equations, rewriting equations in standard form, factoring trinomials, and solving equations by factoring. The document provides resources for further learning about quadratic equations and factoring.
Similar to Definition of Mean (20)
1.Select the graph of the quadratic function ƒ(x) = 4 – x2. Iden.docx
1.Select the graph of the quadratic function ƒ(x) = 4 – x2. Iden.docx
PEMDAS - The Proper Order of Mathematical Operations
PEMDAS - The Proper Order of Mathematical Operations
Recently uploaded
Wound healing PPT
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Benner "Expanding Pathways to Publishing Careers"
This presentation was provided by Rebecca Benner, Ph.D., of the American Society of Anesthesiologists, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
A Visual Guide to 1 Samuel | A Tale of Two Hearts
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...Nguyen Thanh Tu Collection
https://app.box.com/s/tacvl9ekroe9hqupdnjruiypvm9rdaneLevel 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
The History of NZ 1870-1900.
Making of a Nation.
From the NZ Wars to Liberals,
Richard Seddon, George Grey,
Social Laboratory, New Zealand,
Confiscations, Kotahitanga, Kingitanga, Parliament, Suffrage, Repudiation, Economic Change, Agriculture, Gold Mining, Timber, Flax, Sheep, Dairying,
Temple of Asclepius in Thrace. Excavation results
The temple and the sanctuary around were dedicated to Asklepios Zmidrenus. This name has been known since 1875 when an inscription dedicated to him was discovered in Rome. The inscription is dated in 227 AD and was left by soldiers originating from the city of Philippopolis (modern Plovdiv).
Mule event processing models | MuleSoft Mysore Meetup #47
Mule event processing models | MuleSoft Mysore Meetup #47
Event Link:- https://meetups.mulesoft.com/events/details/mulesoft-mysore-presents-mule-event-processing-models/
Agenda
● What is event processing in MuleSoft?
● Types of event processing models in Mule 4
● Distinction between the reactive, parallel, blocking & non-blocking processing
For Upcoming Meetups Join Mysore Meetup Group - https://meetups.mulesoft.com/mysore/YouTube:- youtube.com/@mulesoftmysore
Mysore WhatsApp group:- https://chat.whatsapp.com/EhqtHtCC75vCAX7gaO842N
Speaker:-
Shivani Yasaswi - https://www.linkedin.com/in/shivaniyasaswi/
Organizers:-
Shubham Chaurasia - https://www.linkedin.com/in/shubhamchaurasia1/
Giridhar Meka - https://www.linkedin.com/in/giridharmeka
Priya Shaw - https://www.linkedin.com/in/priya-shaw
Stack Memory Organization of 8086 Microprocessor
The stack memory organization of 8086 microprocessor.
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
HYPERTENSION - SLIDE SHARE PRESENTATION.
IT WILL BE HELPFULL FOR THE NUSING STUDENTS
IT FOCUSED ON MEDICAL MANAGEMENT AND NURSING MANAGEMENT.
HIGHLIGHTS ON HEALTH EDUCATION.
How to deliver Powerpoint Presentations.pptx
"How to make and deliver dynamic presentations by making it more interactive to captivate your audience attention"
Leveraging Generative AI to Drive Nonprofit Innovation
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Iván Bornacelly, Policy Analyst at the OECD Centre for Skills, OECD, presents at the webinar 'Tackling job market gaps with a skills-first approach' on 12 June 2024
Recently uploaded (20)
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
Mule event processing models | MuleSoft Mysore Meetup #47
Mule event processing models | MuleSoft Mysore Meetup #47
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Definition of Mean
- 1. a2 + b2 2x < 8y - 43 = c 2 ax2 +bx + c = 0 www.LearnAlgebraFaster.com 3 y > |7 x - 2| + 5 2) m x +b 4)(x 2 + 5 x- y= f(x) = (x -
- 3. The Definition of www.LearnAlgebraFaster.com Mean In a set of numbers... Mean - The sum of the numbers divided by how many numbers there are This is also referred to as the AVERAGE
- 4. The Definition of www.LearnAlgebraFaster.com Mean When will you deal with Mean? Any Set (Group) of Numbers Statistics Histograms Line Plots
- 5. The Definition of www.LearnAlgebraFaster.com Mean Find the Mean: 15, 10, 19, 19, 7, 11, 15, 19, 20, 12, 17, 18 Sum of the numbers Mean = How many numbers 182 12 Mean = 15.17
- 6. www.LearnAlgebraFaster.com Review: The Mean is the Average of the numbers in the set
- 7. www.LearnAlgebraFaster.com Review: The Mean is the Average of the numbers in the set