Here are a few ways to find the highest, second highest, etc. values in a column in Excel:
1. Use the LARGE function:
- To find the highest value: =LARGE(A1:A10,1)
- To find the second highest value: =LARGE(A1:A10,2)
- And so on, increasing the second argument by 1 each time
2. Use the SMALL function (opposite of LARGE):
- To find the second highest value: =SMALL(A1:A10,2)
- To find the third highest value: =SMALL(A1:A10,3)
3. Sort
As part of the GSP’s capacity development and improvement programme, FAO/GSP have organised a one week training in Izmir, Turkey. The main goal of the training was to increase the capacity of Turkey on digital soil mapping, new approaches on data collection, data processing and modelling of soil organic carbon. This 5 day training is titled ‘’Training on Digital Soil Organic Carbon Mapping’’ was held in IARTC - International Agricultural Research and Education Center in Menemen, Izmir on 20-25 August, 2017.
This document discusses functions and modeling with functions. It provides examples of defining functions from formulas, graphs, verbal descriptions, and data. One example shows defining the volume of a box as a function of the side length of squares cut out of the corners, finding the domain and maximum volume. Another example models the growth of a grain pile using a function for the volume of a cone. The document also covers constructing functions from scatter plot data and using technology for curve fitting.
This document discusses key topics in real numbers including:
- Representing real numbers as decimals and subsets like natural, whole, integer, and rational numbers
- The real number line and order of real numbers using inequality symbols
- Interval notation for bounded and unbounded intervals of real numbers
- Basic properties of algebra like the commutative, associative, identity, inverse, and distributive properties
- Exponential notation and properties of exponents
- Scientific notation for writing numbers in a standardized form.
This document provides an overview of formulas and functions in Excel spreadsheets. It discusses cell referencing using absolute, relative, and mixed references. It also covers the different types of operators used in formulas like arithmetic, comparison, text, and reference operators. Common functions like SUM, AVERAGE, MAX, MIN, and IF are described along with how to enter functions and arguments. The key aspects covered in 3 sentences or less are:
This document describes how to build formulas in Excel using cell referencing, operators, and functions to analyze and manipulate data in spreadsheets. It covers the different types of cell references and operators used in formulas as well as common functions and how to enter functions with arguments. Nested IF functions are also
The bisection method is a root-finding algorithm that uses binary search to find roots or zeroes of a function. It works by repeatedly bisecting an interval and determining whether the root lies in the upper or lower interval based on the sign of the function. The algorithm converges to a root by halving the size of the bracketing interval at each iteration. An example applies the bisection method to find the depth at which a floating ball is submerged. After 10 iterations, the estimated root is found to two significant digits.
This document discusses solving rational equations and eliminating extraneous solutions. It begins by explaining that rational functions are often used as models that require solving equations involving fractions. When multiplying or dividing terms, extra solutions can arise that do not satisfy the original equation. Examples are provided to demonstrate solving rational equations by clearing fractions and identifying extraneous solutions. One example solves an equation to find the minimum perimeter of a rectangle with a given area.
The document discusses multiple perspectives and functional notation in mathematics. It provides examples of representing relations as tables, equations, and graphs. It explains that functional notation uses parentheses to indicate the output of a function for a given input. Examples are provided of using functional notation to find the output of functions when given specific inputs.
As part of the GSP’s capacity development and improvement programme, FAO/GSP have organised a one week training in Izmir, Turkey. The main goal of the training was to increase the capacity of Turkey on digital soil mapping, new approaches on data collection, data processing and modelling of soil organic carbon. This 5 day training is titled ‘’Training on Digital Soil Organic Carbon Mapping’’ was held in IARTC - International Agricultural Research and Education Center in Menemen, Izmir on 20-25 August, 2017.
This document discusses functions and modeling with functions. It provides examples of defining functions from formulas, graphs, verbal descriptions, and data. One example shows defining the volume of a box as a function of the side length of squares cut out of the corners, finding the domain and maximum volume. Another example models the growth of a grain pile using a function for the volume of a cone. The document also covers constructing functions from scatter plot data and using technology for curve fitting.
This document discusses key topics in real numbers including:
- Representing real numbers as decimals and subsets like natural, whole, integer, and rational numbers
- The real number line and order of real numbers using inequality symbols
- Interval notation for bounded and unbounded intervals of real numbers
- Basic properties of algebra like the commutative, associative, identity, inverse, and distributive properties
- Exponential notation and properties of exponents
- Scientific notation for writing numbers in a standardized form.
This document provides an overview of formulas and functions in Excel spreadsheets. It discusses cell referencing using absolute, relative, and mixed references. It also covers the different types of operators used in formulas like arithmetic, comparison, text, and reference operators. Common functions like SUM, AVERAGE, MAX, MIN, and IF are described along with how to enter functions and arguments. The key aspects covered in 3 sentences or less are:
This document describes how to build formulas in Excel using cell referencing, operators, and functions to analyze and manipulate data in spreadsheets. It covers the different types of cell references and operators used in formulas as well as common functions and how to enter functions with arguments. Nested IF functions are also
The bisection method is a root-finding algorithm that uses binary search to find roots or zeroes of a function. It works by repeatedly bisecting an interval and determining whether the root lies in the upper or lower interval based on the sign of the function. The algorithm converges to a root by halving the size of the bracketing interval at each iteration. An example applies the bisection method to find the depth at which a floating ball is submerged. After 10 iterations, the estimated root is found to two significant digits.
This document discusses solving rational equations and eliminating extraneous solutions. It begins by explaining that rational functions are often used as models that require solving equations involving fractions. When multiplying or dividing terms, extra solutions can arise that do not satisfy the original equation. Examples are provided to demonstrate solving rational equations by clearing fractions and identifying extraneous solutions. One example solves an equation to find the minimum perimeter of a rectangle with a given area.
The document discusses multiple perspectives and functional notation in mathematics. It provides examples of representing relations as tables, equations, and graphs. It explains that functional notation uses parentheses to indicate the output of a function for a given input. Examples are provided of using functional notation to find the output of functions when given specific inputs.
The document discusses various types of functions including:
- Constant functions which assign the same real number to every element of the domain.
- Linear functions which have a degree of 1 and are defined by the equation f(x)=mx+b.
- Quadratic functions which are polynomial functions of degree 2.
- Cubic/power functions which are polynomial functions of degree 3.
It also briefly describes identity, absolute value, rational, and algebraic functions. The document concludes with instructions for a group activity on identifying different function types from graphs.
This document provides an overview of sets of numbers and interval notation in algebra. It defines key terms like natural numbers, integers, rational numbers, and irrational numbers. Rational numbers can be written as a ratio of integers, while irrational numbers cannot. The document explains how to classify numbers based on these sets and represents sets of numbers visually on a number line. It introduces inequality symbols like <, >, ≤, ≥ and uses them to compare numbers. Finally, it explains how to use interval notation, like (a, b], [c, d), to represent sets of real numbers algebraically.
This document defines and provides examples of algebraic functions. It explains that algebraic functions involve algebraic operations like addition, subtraction, multiplication, and division on variables and constants. It also discusses linear algebraic functions, which can be represented by a straight line on the Cartesian plane in the form of f(x)=mx+b. The document provides examples of linear functions using tables, graphs, and solving linear equations for y. It compares linear and quadratic functions, noting that while linear functions can be written as fractions, quadratic functions involve squared variables and are not linear.
Exponential and logistic functions model growth patterns such as human and animal populations. Exponential functions have the form f(x) = a*bx, where a is the initial value, b is the base, and if b > 1 the function models exponential growth. Logistic functions have the form f(x) = c/(1+a*bx) or f(x) = c/(1+a*e-kx), where c is the limit to growth. The natural base e, which is approximately 2.718, is often used instead of other bases for exponential functions.
The document discusses various numerical techniques for solving equations and systems of equations. It covers bisection, regula falsi, Newton-Raphson, and interpolation methods for finding roots of equations. It also covers the Jacobi and Gauss-Seidel methods for solving systems of linear equations iteratively. Numerical differentiation and integration techniques like the trapezoidal, Simpson's, and Runge-Kutta methods are also summarized. Examples are provided to illustrate solving systems of equations using the Jacobi and Gauss-Seidel methods.
This document discusses composite functions and the order of operations when combining functions.
It provides an example of a mother converting the temperature of her baby's bath water from Celsius to Fahrenheit using two separate functions. The first function converts the Celsius reading to Fahrenheit, and the second maps the Fahrenheit reading to whether the water is too cold, alright, or too hot. Together these functions form a composite function.
Algebraically, a composite function f∘g(x) is defined as applying the inner function f first to the input x, and then applying the outer function g to the output of f. The domain of the inner function must be contained within the range of the outer function. The order of
The document discusses rational functions and their graphs. It defines rational functions as the ratio of two polynomial functions. Key aspects covered include:
- The domain of a rational function
- Transformations of the reciprocal function 1/x and how they affect its graph
- Vertical and horizontal asymptotes of rational functions
- End behavior, intercepts, and characteristics of graphs of general rational functions
- Examples of finding asymptotes and graphing specific rational functions
This document describes the bisection method for finding roots of equations numerically. It begins by classifying equations as linear, polynomial, or generally non-linear. For non-linear equations, numerical methods are required. The bisection method iteratively halves the interval that contains a root until a solution is found to within a specified tolerance. An example illustrates the step-by-step process of applying the bisection method to find the root of a sample function. MATLAB code is also presented to implement the bisection method.
Nams- Roots of equations by numerical methodsRuchi Maurya
Bisection method. The simplest root-finding algorithm is the bisection method. ...
False position (regula falsi) ...
Interpolation. ...
Newton's method (and similar derivative-based methods) ...
Secant method. ...
Interpolation. ...
Inverse interpolation. ...
Brent's method.
In mathematics and computing, a root-finding algorithm is an algorithm, for finding values x such that f(x) = 0, for a given continuous function f from the real numbers to real numbers or from the complex numbers to the complex numbers. Such an x is called a root or zero of the function f. As, generally, the roots may not be described exactly, they are approximated as floating point numbers, or isolated in small intervals (or disks for complex roots), an interval or disk output being equivalent to an approximate output together with an error bound.
Solving an equation f(x) = g(x) is the same as finding the roots of the function f – g. Thus root-finding algorithms allows solving any equation.
Numerical root-finding methods use iteration, producing a sequence of numbers that hopefully converge towards the root as a limit. They require one or more initial guesses of the root as starting values, then each iteration of the algorithm produces a successively more accurate approximation to the root. Since the iteration must be stopped at some point these methods produce an approximation to the root, not an exact solution. Many methods compute subsequent values by evaluating an auxiliary function on the preceding values. The limit is thus a fixed point of the auxiliary function, which is chosen for having the roots of the original equation as fixed points.
The behaviour of root-finding algorithms is studied in numerical analysis. Algorithms perform best when they take advantage of known characteristics of the given function, so different algorithms are used to solve different types of equations. Desirable characteristics include a rapid rate of convergence, ability to separate close roots, robustness against failures of differentiability, and low propagation rate of rounding errors.
This document provides an overview of the key concepts covered in Chapter 6 of a mathematics textbook, which includes:
1) Defining rational expressions as ratios of two polynomials and focusing on adding, subtracting, multiplying, and dividing rational expressions.
2) Concluding with solving rational equations and applications of rational equations.
3) Summarizing the chapter sections, which cover topics like rational expressions and functions, operations on rational expressions, and applications of rational equations.
The document summarizes key concepts in Python programming including decision statements, loops, and functions. It discusses boolean expressions and relational operators used in conditional statements. It also covers different loop constructs like while, for, and nested loops. Finally, it provides examples of defining and using functions, and concepts like local and global scope, default arguments, recursion, and returning values.
Finding All Real Zeros Of A Polynomial With ExamplesKristen T
The document discusses finding all real zeros of a polynomial function. It outlines the steps to take:
1) Use the Rational Zeros Theorem to identify possible rational zeros.
2) Use a graphing calculator to narrow down possible rational zeros by identifying where the function crosses the x-axis.
3) Use synthetic division and factoring techniques to rewrite the polynomial in factored form.
4) Identify the real zeros by finding where each factor equals zero.
1. A function is a relation between a set of inputs and a set of outputs such that each input is mapped to exactly one output.
2. Functions can be defined formally as a subset of the Cartesian product between the domain and codomain sets such that each element in the domain appears as the first element of exactly one ordered pair in the subset.
3. Examples of functions include one that maps shapes to their colors, one that maps natural numbers to integers by subtracting 4, and one that maps polygons to their number of vertices.
This document discusses polynomial functions of higher degree and their applications in modeling. It covers graphs of polynomial functions, end behavior, zeros, the intermediate value theorem, and modeling. Key topics include transforming monomial graphs, finding extrema and zeros, applying the leading term test to determine end behavior, and using factorization to sketch graphs. The document provides examples and explanations of these polynomial concepts.
This document discusses polynomial functions. It defines polynomial functions as functions of the form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where the exponents are whole numbers. It describes the leading coefficient, constant term, and degree of a polynomial function. Common types of polynomial functions like constant, linear, quadratic, cubic, and quartic functions are summarized. Methods for identifying if a function is a polynomial function, evaluating polynomial functions using direct substitution and synthetic substitution, and determining the left and right behavior of a polynomial function's graph are also discussed.
This document provides an overview of linear equations and inequalities. It discusses solving linear equations in one variable, properties of equality, equivalent equations, and solving linear inequalities. Examples are provided to demonstrate solving equations and inequalities, combining like terms, and using the lowest common denominator to combine fractions. The key topics covered are linear equations, solving equations, properties of equality, equivalent equations, and linear inequalities in one variable.
This document provides an overview of function notation and how to work with functions. It defines what a function is as a relation that assigns a single output value to each input value. It shows how functions can be represented using standard notation like f(x) and discusses evaluating functions by inputting values. Examples are provided of determining if a relationship represents a function, evaluating functions from tables and graphs, and solving functional equations.
This document discusses numerical methods for finding roots of nonlinear equations. It introduces symbolic calculations in MATLAB using the Symbolic Math Toolbox. Bisection and Newton's methods for finding roots are explained. MATLAB code examples are provided to implement these root-finding algorithms for sample equations. The document also describes using MATLAB's fzero function to numerically find roots.
This document provides an overview of various Excel formulas and functions. It begins by defining what Excel formulas are and how they are used to perform calculations on cell values. It then proceeds to explain 23 different Excel formulas and functions in detail, including SUM, AVERAGE, COUNT, VLOOKUP, HLOOKUP, IF, and INDEX-MATCH. Each formula or function is demonstrated with an example to illustrate how it works and what it is used for. The document serves as a reference guide for learning the most commonly used Excel formulas.
Top 20 microsoft excel formulas you must knowAlexHenderson59
The document provides a list of the top 20 Microsoft Excel formulas that users must know to become more proficient with Excel. It begins by explaining that a formula in Excel calculates values within a range of cells or a single cell. The list then provides examples of commonly used formulas like SUM, MAX, MIN, COUNT, IF, and CONCATENATE. It moves on to more advanced formulas that combine functions like INDEX MATCH, CHOOSE, IF with AND/OR, and concludes with formulas like CONCATENATE that can make worksheets more dynamic. The overall document serves as a useful guide to important Excel formulas for both basic and advanced users.
You can enter formulas in two ways, either directly into the cell itself, or at the input line. Either way, you need to start a formula with one of the following symbols: =, + or –. Starting with anything else causes the formula to be treated as if it were text.
Creating Formulas
Understanding Functions
Using regular expressions in functions
Using Pivot tables
The DataPilot dialog
The document discusses various types of functions including:
- Constant functions which assign the same real number to every element of the domain.
- Linear functions which have a degree of 1 and are defined by the equation f(x)=mx+b.
- Quadratic functions which are polynomial functions of degree 2.
- Cubic/power functions which are polynomial functions of degree 3.
It also briefly describes identity, absolute value, rational, and algebraic functions. The document concludes with instructions for a group activity on identifying different function types from graphs.
This document provides an overview of sets of numbers and interval notation in algebra. It defines key terms like natural numbers, integers, rational numbers, and irrational numbers. Rational numbers can be written as a ratio of integers, while irrational numbers cannot. The document explains how to classify numbers based on these sets and represents sets of numbers visually on a number line. It introduces inequality symbols like <, >, ≤, ≥ and uses them to compare numbers. Finally, it explains how to use interval notation, like (a, b], [c, d), to represent sets of real numbers algebraically.
This document defines and provides examples of algebraic functions. It explains that algebraic functions involve algebraic operations like addition, subtraction, multiplication, and division on variables and constants. It also discusses linear algebraic functions, which can be represented by a straight line on the Cartesian plane in the form of f(x)=mx+b. The document provides examples of linear functions using tables, graphs, and solving linear equations for y. It compares linear and quadratic functions, noting that while linear functions can be written as fractions, quadratic functions involve squared variables and are not linear.
Exponential and logistic functions model growth patterns such as human and animal populations. Exponential functions have the form f(x) = a*bx, where a is the initial value, b is the base, and if b > 1 the function models exponential growth. Logistic functions have the form f(x) = c/(1+a*bx) or f(x) = c/(1+a*e-kx), where c is the limit to growth. The natural base e, which is approximately 2.718, is often used instead of other bases for exponential functions.
The document discusses various numerical techniques for solving equations and systems of equations. It covers bisection, regula falsi, Newton-Raphson, and interpolation methods for finding roots of equations. It also covers the Jacobi and Gauss-Seidel methods for solving systems of linear equations iteratively. Numerical differentiation and integration techniques like the trapezoidal, Simpson's, and Runge-Kutta methods are also summarized. Examples are provided to illustrate solving systems of equations using the Jacobi and Gauss-Seidel methods.
This document discusses composite functions and the order of operations when combining functions.
It provides an example of a mother converting the temperature of her baby's bath water from Celsius to Fahrenheit using two separate functions. The first function converts the Celsius reading to Fahrenheit, and the second maps the Fahrenheit reading to whether the water is too cold, alright, or too hot. Together these functions form a composite function.
Algebraically, a composite function f∘g(x) is defined as applying the inner function f first to the input x, and then applying the outer function g to the output of f. The domain of the inner function must be contained within the range of the outer function. The order of
The document discusses rational functions and their graphs. It defines rational functions as the ratio of two polynomial functions. Key aspects covered include:
- The domain of a rational function
- Transformations of the reciprocal function 1/x and how they affect its graph
- Vertical and horizontal asymptotes of rational functions
- End behavior, intercepts, and characteristics of graphs of general rational functions
- Examples of finding asymptotes and graphing specific rational functions
This document describes the bisection method for finding roots of equations numerically. It begins by classifying equations as linear, polynomial, or generally non-linear. For non-linear equations, numerical methods are required. The bisection method iteratively halves the interval that contains a root until a solution is found to within a specified tolerance. An example illustrates the step-by-step process of applying the bisection method to find the root of a sample function. MATLAB code is also presented to implement the bisection method.
Nams- Roots of equations by numerical methodsRuchi Maurya
Bisection method. The simplest root-finding algorithm is the bisection method. ...
False position (regula falsi) ...
Interpolation. ...
Newton's method (and similar derivative-based methods) ...
Secant method. ...
Interpolation. ...
Inverse interpolation. ...
Brent's method.
In mathematics and computing, a root-finding algorithm is an algorithm, for finding values x such that f(x) = 0, for a given continuous function f from the real numbers to real numbers or from the complex numbers to the complex numbers. Such an x is called a root or zero of the function f. As, generally, the roots may not be described exactly, they are approximated as floating point numbers, or isolated in small intervals (or disks for complex roots), an interval or disk output being equivalent to an approximate output together with an error bound.
Solving an equation f(x) = g(x) is the same as finding the roots of the function f – g. Thus root-finding algorithms allows solving any equation.
Numerical root-finding methods use iteration, producing a sequence of numbers that hopefully converge towards the root as a limit. They require one or more initial guesses of the root as starting values, then each iteration of the algorithm produces a successively more accurate approximation to the root. Since the iteration must be stopped at some point these methods produce an approximation to the root, not an exact solution. Many methods compute subsequent values by evaluating an auxiliary function on the preceding values. The limit is thus a fixed point of the auxiliary function, which is chosen for having the roots of the original equation as fixed points.
The behaviour of root-finding algorithms is studied in numerical analysis. Algorithms perform best when they take advantage of known characteristics of the given function, so different algorithms are used to solve different types of equations. Desirable characteristics include a rapid rate of convergence, ability to separate close roots, robustness against failures of differentiability, and low propagation rate of rounding errors.
This document provides an overview of the key concepts covered in Chapter 6 of a mathematics textbook, which includes:
1) Defining rational expressions as ratios of two polynomials and focusing on adding, subtracting, multiplying, and dividing rational expressions.
2) Concluding with solving rational equations and applications of rational equations.
3) Summarizing the chapter sections, which cover topics like rational expressions and functions, operations on rational expressions, and applications of rational equations.
The document summarizes key concepts in Python programming including decision statements, loops, and functions. It discusses boolean expressions and relational operators used in conditional statements. It also covers different loop constructs like while, for, and nested loops. Finally, it provides examples of defining and using functions, and concepts like local and global scope, default arguments, recursion, and returning values.
Finding All Real Zeros Of A Polynomial With ExamplesKristen T
The document discusses finding all real zeros of a polynomial function. It outlines the steps to take:
1) Use the Rational Zeros Theorem to identify possible rational zeros.
2) Use a graphing calculator to narrow down possible rational zeros by identifying where the function crosses the x-axis.
3) Use synthetic division and factoring techniques to rewrite the polynomial in factored form.
4) Identify the real zeros by finding where each factor equals zero.
1. A function is a relation between a set of inputs and a set of outputs such that each input is mapped to exactly one output.
2. Functions can be defined formally as a subset of the Cartesian product between the domain and codomain sets such that each element in the domain appears as the first element of exactly one ordered pair in the subset.
3. Examples of functions include one that maps shapes to their colors, one that maps natural numbers to integers by subtracting 4, and one that maps polygons to their number of vertices.
This document discusses polynomial functions of higher degree and their applications in modeling. It covers graphs of polynomial functions, end behavior, zeros, the intermediate value theorem, and modeling. Key topics include transforming monomial graphs, finding extrema and zeros, applying the leading term test to determine end behavior, and using factorization to sketch graphs. The document provides examples and explanations of these polynomial concepts.
This document discusses polynomial functions. It defines polynomial functions as functions of the form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where the exponents are whole numbers. It describes the leading coefficient, constant term, and degree of a polynomial function. Common types of polynomial functions like constant, linear, quadratic, cubic, and quartic functions are summarized. Methods for identifying if a function is a polynomial function, evaluating polynomial functions using direct substitution and synthetic substitution, and determining the left and right behavior of a polynomial function's graph are also discussed.
This document provides an overview of linear equations and inequalities. It discusses solving linear equations in one variable, properties of equality, equivalent equations, and solving linear inequalities. Examples are provided to demonstrate solving equations and inequalities, combining like terms, and using the lowest common denominator to combine fractions. The key topics covered are linear equations, solving equations, properties of equality, equivalent equations, and linear inequalities in one variable.
This document provides an overview of function notation and how to work with functions. It defines what a function is as a relation that assigns a single output value to each input value. It shows how functions can be represented using standard notation like f(x) and discusses evaluating functions by inputting values. Examples are provided of determining if a relationship represents a function, evaluating functions from tables and graphs, and solving functional equations.
This document discusses numerical methods for finding roots of nonlinear equations. It introduces symbolic calculations in MATLAB using the Symbolic Math Toolbox. Bisection and Newton's methods for finding roots are explained. MATLAB code examples are provided to implement these root-finding algorithms for sample equations. The document also describes using MATLAB's fzero function to numerically find roots.
This document provides an overview of various Excel formulas and functions. It begins by defining what Excel formulas are and how they are used to perform calculations on cell values. It then proceeds to explain 23 different Excel formulas and functions in detail, including SUM, AVERAGE, COUNT, VLOOKUP, HLOOKUP, IF, and INDEX-MATCH. Each formula or function is demonstrated with an example to illustrate how it works and what it is used for. The document serves as a reference guide for learning the most commonly used Excel formulas.
Top 20 microsoft excel formulas you must knowAlexHenderson59
The document provides a list of the top 20 Microsoft Excel formulas that users must know to become more proficient with Excel. It begins by explaining that a formula in Excel calculates values within a range of cells or a single cell. The list then provides examples of commonly used formulas like SUM, MAX, MIN, COUNT, IF, and CONCATENATE. It moves on to more advanced formulas that combine functions like INDEX MATCH, CHOOSE, IF with AND/OR, and concludes with formulas like CONCATENATE that can make worksheets more dynamic. The overall document serves as a useful guide to important Excel formulas for both basic and advanced users.
You can enter formulas in two ways, either directly into the cell itself, or at the input line. Either way, you need to start a formula with one of the following symbols: =, + or –. Starting with anything else causes the formula to be treated as if it were text.
Creating Formulas
Understanding Functions
Using regular expressions in functions
Using Pivot tables
The DataPilot dialog
Excel basics for everyday use-the more advanced stuffKevin McLogan
This document provides a summary of an Excel basics course. The course objectives are to understand references, ranges, IF functions, lookups, times, filters, and validation. It discusses relative and absolute references, naming ranges, formulas, IF statements, VLOOKUP, dates, times, tracing errors, and validation. The goal is for students to build skills to create spreadsheets that impress others and strike fear into enemies.
The document provides an overview of various functions in Excel that can help analyze and manipulate data. It discusses count and sum functions, logical functions like IF, AND and OR, date and time functions, text functions, lookup and reference functions like VLOOKUP and INDEX, financial functions like PMT and RATE, statistical functions, rounding functions, and array formulas. Examples are given to demonstrate how each function works and how they can be used to solve different types of problems.
Excel basics for everyday use part threeKevin McLogan
This document provides an overview of several Excel functions and concepts covered in an Excel basics course, including references, naming cell ranges, IF functions, VLOOKUPs, date and time calculations, and filters. The course objectives are to understand different cell references, name ranges, use IF and lookup functions, calculate times, and filter data quickly.
Introduction to micro soft Training ms Excel.pptdejene3
The document provides an introduction and outline for a training on basic Microsoft Excel skills. It covers how to open Excel, an overview of the Excel screen and interface elements, working with formulas including common functions like IF, AND, OR, and NOT, more advanced formulas like nested IF and RANK, and other topics like sorting data and conditional formatting. The training is intended for graduate students at Mattu University for the class of 2023.
In Section 1 on the Data page, complete each column of the spreads.docxsleeperharwell
In Section 1 on the Data page, complete each column of the spreadsheet to arrive at the desired calculations. Use Excel formulas to demonstrate that you can perform the calculations in Excel. Remember, a cell address is the combination of a column and a row. For example, C11 refers to Column C, Row 11 in a spreadsheet.
Reminder: Occasionally in Excel, you will create an unintentional circular reference. This means that within a formula in a cell, you directly or indirectly referred to (back to) the cell. For example, while entering a formula in A3, you enter =A1+A2+A3. This is not correct and will result in an error. Excel allows you to remove or allow these references.
Hint: Another helpful feature in Excel is Paste Special. Mastering this feature allows you to copy and paste all elements of a cell, or just select elements like the formula, the value or the formatting.
"Names" are a way to define cells and ranges in your spreadsheet and can be used in formulas. For review and refresh, see the resources for Create Complex Formulas and Work with Functions.
Ready to Begin?
1. To calculate
hourly rate, you will use the annual hourly rate already computed in Excel, which is 2080. This is the number most often used in annual salary calculations based on full time, 40 hours per week, 52 weeks per year. In E11 (or the first cell in the
Hrly Rate column), create a formula that calculates the hourly rate for each employee by referencing the employee’s salary in Column D, divided by the value of annual hours, 2080. To do this, you will create a simple formula:
=D11/2080. Complete the calculations for the remainder of Column E. If you don’t want to do this cell by cell, you can create a new formula that will let you use that same formula all the way to the end of the column. It would look like this:
=$D$11:$D$382/2080.
2. In Column F, calculate the
number of years worked for each employee by creating a formula that incorporates the date in cell F9 and demonstrates your understanding of relative and absolute cells in Excel. For this, you will need a formula that can compute absolute values to determine years of service. You could do this longhand, but it would take a long time. So, try the
YEARFRAC formula, which computes the number of years (and even rounds). Once you start the formula in Excel, the element will appear to guide you. You need to know the “ending” date (F9) and the hiring date (B11). The formula looks like this:
=YEARFRAC($F$9,B11), and the $ will repeat the formula calculation down the column as before if you grab the edge of the cell and drag it to the bottom of the column.
3. To determine if an employee is
vested or not In Column I, use an
IF statement to flag with a "Yes" any employees who have been employed 10 years or more. Here is how an IF statement works:
=IF(X is greater (or less th.
This document provides instructions for three methods to add dashes to phone numbers in Excel:
1. Use a REPLACE formula to insert dashes at specific character positions.
2. Use the TEXT formula with a phone number format mask to automatically add dashes.
3. Select the phone numbers and use the Format Cells feature to apply a built-in phone number format.
Manual for Troubleshooting Formulas & Functions in ExcelChristopher Ward
This document provides guidance on various Excel functions and tools, including formulas, data validation, pivot tables, and other advanced functions. It includes examples and explanations of COUNT/SUMIF formulas, VLOOKUP to return blanks for errors, SUBTOTAL/AGGREGATE, SUMPRODUCT, IF statements, and date/time functions like TODAY. It also covers setting up simple and dependent data validation, conditional formatting, advanced filters, and combining text and formulas.
This document provides examples of useful functions and formulas in Microsoft Excel across several categories including common text, math, conditional, date and time functions. It demonstrates how to use functions like UPPER, ROUND, COUNTIF, IF, and DATE among many others to manipulate text, perform calculations, add conditional logic, work with dates and times. Instructions are provided on copying formulas down a column and removing formulas to paste only values.
Just some excel courses. Have fun and learn from basic to advance, to develope strong skills in operating Excel.
Microsoft Office Excel was never so easy to understand like now!
1. SQL is a language used to query, analyze, and manipulate data from databases. It is one of the most widely used tools for working with data.
2. The question provides a sample table called "airbnb_listings" with columns for id, city, country, number_of_rooms, and year_listed.
3. SQL can filter data by specifying conditions in a WHERE clause. Examples filter the listings table to return rows where the number_of_rooms is greater than or equal to 3, or where number_of_rooms is greater than 3.
This PowerPoint presentation helps the beginners, business analysts, etc to understand the importance of the basic and advanced functions in MS Excel. Also for the interviewees to have a quick look before heading to their interview. This guide defines the excel functions with the appropriate syntax and an example.
This document provides an overview and lessons for an Excel 2007 training course on entering formulas. It covers using basic math operators in formulas, cell references that allow formulas to automatically update, and functions like SUM, AVERAGE, MAX and MIN to simplify calculating totals and averages. The lessons include examples of creating formulas with various techniques and functions. Tests at the end of each lesson assess the key concepts and skills learned.
This document provides a training overview for using formulas in Microsoft Excel 2007. It covers entering basic formulas using addition, subtraction, multiplication and division operators. It teaches how to use cell references in formulas so that results update automatically when values change. Functions like SUM, AVERAGE, MAX and MIN are demonstrated to simplify calculating totals and averages. The training recommends practicing entering formulas, using different cell reference types, and copying formulas to learn how to perform calculations in Excel.
If you recognize yourself in this description, please take 5 minutes to read on and answer these 3 simple questions:
"By now you have been working for several years with Excel, gradually getting better at it and making simple or elaborate spreadsheets for private or business use. All in all, you are quite satisfied with your work and the results."
1. This document provides an introduction to using formulas and functions in Excel, including the basics of adding, subtracting, multiplying, and dividing in Excel without functions, as well as an overview of more advanced functions like SUM, TODAY, COUNT, and AVERAGE.
2. Key functions introduced include SUM, which totals the values in a range of cells; TODAY, which returns the current date; COUNT, which counts the number of cells in a range that contain numbers; and AVERAGE, which calculates the average of the values in a range.
3. The document explains best practices for using formulas with cell references rather than hard-coded values to allow for easy updating, and demonstrates how to enter functions
This document provides instructions for performing advanced operations in Microsoft Excel, including creating complex formulas, using functions, sorting data, and filtering data. It explains how to insert formulas using cell references and apply formatting. Functions like SUM, AVERAGE, COUNT, MIN and MAX are demonstrated. The order of operations for complex formulas is covered. Methods for sorting entire sheets or ranges by columns are presented. Filtering helps narrow data in a worksheet.
Formulas in Excel begin with an equal sign and include cell references and operators. Functions are predefined formulas that perform calculations using specific cell values called arguments. Both formulas and functions can be copied and will adjust cell references depending on whether they use relative, absolute, or mixed references. Functions simplify formulas by using cell ranges and built-in calculations like SUM, AVERAGE, and TODAY.
1. Question:
I need to do the following and have a problem figuring out what function to use
and how to use it: If Bob T is in 6 classes with 6 different grades in a room of 30
students with different first and last names and the names are put in aphbettical
order (Bobs name will not be in the same row each time) How would I only collect
the grades of Bob T? I have tried to use filter and dsum but failed given some
conditions. I really appreciate it if you can be of any help.
Answer:
It sounds like you need to use the VLOOKUP function.
Let's assume that the names of the students are found in Column A and the Grades in Column B.
In this case, you function will look like this:
=VLOOKUP("Bob T",$B1:$B100,2,FALSE)
With the vlookup formula, it doesn't matter on which row the data is.
This will retrieve the grade in one class. Adapt this formula for the rest of the classes and you should be
good to go.
Tags: VLOOKUP
Question:
how do I create a condition for date cells to change color when todays date is 30
days away from date in cell and past the date in the cell?
Answer:
I assume your data looks something like this:
2. To highlight the cells that are 30 days or more before today's date, you should select cell B2 and use the
following conditional formatting rule:
Then, copy the rule to the other cells using the brush tool (format painter) and you will get this result:
3. Tags: Conditional Formatting
Question
I have a column set up with conditional formatting to color the cell w/in the
column a certain color depending on a certain word. Ex)"Post" = Green,
"Select"=Blue, "Deny"=Red, "Hold"=Yellow. I need the entire row to change the
same color as the one cell w/out merging. How can I format the color to the whole
row depending on the status of the one cell?
Answer:
If you select 'conditional formatting' -> 'manage rules' you'll see that all your rules apply to ranges $F:$F (just
one column).
If you change them to apply to $A:$F, you get the conditional formatting to apply to the entire row.
Question:
How do I make a cell change colors once it hits a certain number?
Answer:
By making a simple conditional formatting rule...
1. Select the cell
4. 2. From the Home ribbon select 'Conditiional Formatting'
3. Then select 'Highlight Cell Rules'
4. Then select 'Greater than'
5. Then enter your number (minus one).
6. Select how you want to higlight the cell and...
7. Press OK
And you're good to go.
Tags: Conditional Formatting
Question:
how to rank value with name result? for example: I have player name in A1:A5,
score in B1:B5, and I want to have rank based on higher score with player name
on it.
Answer:
Put the following formula in cell C1
=RANK(B1,$B$1:$B$5)
Then copy the formula to cells C2:C5.
And finaly, sort the table on column C.
Tags: RANK
Question:
I have a list of state abbreviations and in the column next to it I need to have the
time zones that correspond. How can I have the time zone column prepopulate
after I enter the state abbreviation?
Answer:
5. You should use the VLOOKUP function.
The following image shows a list of state abbreviations and corresponding time zones.
The sheet automatically translates the state abbreviation in cell D4 to the time zone in E4 by using the
following VLOOKUP formula
=VLOOKUP(D4,$A$1:$B$17,2,FALSE)
Its important to note that the range the VLOOKUP function uses is an absolute reference. You almost always
need to use absolute reference when defining the lookup array because while the formula is likely to be
copied and the lookup value reference may change, the lookup array range almost never changes.
Tags: VLOOKUP
Not what
you're looking for?
6. Response time: 3 minutes
Question:
I have created a vlookup that when copied gives me different results than the
manually entered formula. When I manually enter the formula, it works perfect;
this is a document with 2000+ rows so manually entering the formula is not an
option. I have never encountered this before. Any suggestions?
Answer:
It sounds like a relative reference problem. This happens a lot with VLOOKUPs.
Your formula probably looks something like this:
=VLOOKUP(E2,A2:C9,2,FALSE)
If you copy this formula one cell down it will look like this:
=VLOOKUP(E3,A3:C10,2,FALSE)
Note that E2 changed to E3 which is good, you want the formula to lookup the value in the next row But...
The lookup range also changed to A3:C10, which is not good. Eventually the lookup range will change so
that the original lookup array is not even included and than you'll get error values.
To prevent this, you need to turn the lookup range into an absolute reference range, like this:
=VLOOKUP(E2,$A$2:$C$9,2,FALSE)
This way you can copy the formula and have the reference to the lookup value change without changing the
lookup array.
Tags: VLOOKUP
7. Question:
I have 5 columns and 50000 rows, i want data from all 5 columns into the 6th
column in the format of SQL Insert query; e.g. insert into table1
values('a1','b1','c1', 'd1','e1') for the first row. and want to repeat the same for all
rows in the excel.
Answer:
Well this is a simple task of concatenating strings. The following formula will do the trick:
="Insert into table1 values('" & A1 & "','"& B1 & "','" & C1 & "','" & D1
& "','" & E1 & "')"
Once you have this formula in Cell F1, copy it to Cells F2:F50000 and the formula will automatically adjust to
create the right insert statements for you.
The Excel Power function
The power function is used (as you have probably guessed) to raise a number to a power.
For instance, the formula:
=Power(10,2) is 10*10 (can be written 102) which equals 100
=Power (2,3) is actually 2*2*2 (or 23), which equals 8
Note
Excel also includes the operator '^' for the Power() function.
So instead of writing:
=Power(10,2)
You can write:
=10^2
8. The power function can be used in many ways, but perhaps it's most well known use is with compound interest rate.
The following sheet shows the return on investment on a $5000 investment carrying a 5% interest rate over different
investment periods (column C).
You calculate the return on investment by raising the interest rate by the power of the time period then multiplying it
with the original investment sum.
This will translate to the following Excel formula:
=A2*POWER(B2,C2)
Note
To get a feel of the Power() function try the following exercise:
9. Open a new sheet and simulate the growth rate of an imaginary virus. The rules of the game are very simple. Each
generation the virus splits into 2 new viruses.
Put the number 2 in cell A1
Put the number of generations (start with 5) in cell A2
And put the formula =Power(A1,A2) in B2
B2 will show you how many viruses there are after 5 generations.
Now play with the number of generations and see how the results change.
Excel ROUNDUP, ROUNDDOWN and ROUND functions
In the previous example we calculated the return on investment by using the power function. If you look at the results
of the calculation on column D, you'll see that they show 5 digits after the decimal point.
10. While showing numbers after the decimal point is certainly more precise, it also makes reading the sheet much
harder because of all those extra numbers.
One of the ways to eliminate (or reduce) the digits after the decimal point is to use the ROUNDUP(), ROUNDDOWN()
and ROUND() functions.
As you probably gathered from its name, the ROUNDUP() function will round any given number up to the next round
number.
What's interesting is that ROUNDUP() also lets round up to a specific number of decimal points. That's done by
passing the number of decimal points you want to round up to as the second parameter (0 meaning to round up to
the closest whole number, 1 meaning there will be one digit after the decimal point, and so on).
For Example:
=ROUNDUP(18.23,0) will return 19
11. While
=ROUNDUP(18.23,1) will return 18.3
The ROUNDDOWN() acts exactly the same way as the ROUNDUP() function except it will round the number down to
the previous round number (with a specified number of digits).
For Example:
=ROUNDDOWN(18.23,0) will return 18
And
=ROUNDDOWN(18.23,1) will return 18.2
The ROUND() function will round to the closest number (given a specific number of digits).
For example:
=ROUND(18.23,0) will return 18
While
=ROUND(18.51,0) will return 19
Note
What do you think will the function =ROUND(18.5,0) return?
Will it return 19 or will it return 18?
Open Excel and check if your answer was correct.
Excel CEILING and FLOOR functions
The FLOOR() and CEILING() function are similar to the ROUND functions but serve a slightly different purpose.
12. The CEILING function receives two parameters (let's call them A and B) and returns the multiple of B that's both
closest to and larger than A.
For instance
=CEILING(10,3)
Will return 12 since 12 is the closest multiple of 3 which is also larger than 10.
Imagine you wanted to calculate how many tables you should arrange for your wedding.
You know how many people you plan to invite to the wedding. And you know that each table seats 14 people.
The following formula will reveal the answer in a blink:
=CEILING(A1,14)/14
Enter the number of invitees into cell A1 and you've got your answer.
13. You can reach the same result by using the following formula...
=FLOOR(A1,14)/14+1
Can you explain why?
Excel Count Function
14. Counting is one of the things Excel does best. And if you probe the help files you'll find 5 different counting functions.
But let's turn to the basic COUNT() function.
The COUNT() function receives a range and returns the number of the numeric value found in that range.
For example, if we wanted to calculate the average of the numbers that appear in a certain range (assuming that we
didn't use the AVERAGE() function), we could use the following formula:
Note
The COUNT() function can be used to count the numbers in a column even if you don't know the what will be the last
cell in the column. This is achieved by passing the entire column as a parameter to the count function in the following
way:
15. =COUNT(A:A)
I need to create a formula that shows when a value from a drop down list is
selected it will pre-populate in other cells information from another list
Answer:
You'll need to use the VLOOKUP function. In the following screen shot you can see that the Job field is auto-
filled after the name of the employee is selected form the drop down list.
This is the formula used to achieve this:
=VLOOKUP(B10,B3:C7,2,FALSE)
Question:
I need to do the following and have a problem figuring out what function to use
and how to use it: If Bob T is in 6 classes with 6 different grades in a room of 30
students with different first and last names and the names are put in aphbettical
order (Bobs name will not be in the same row each time) How would I only collect
16. the grades of Bob T? I have tried to use filter and dsum but failed given some
conditions. I really appreciate it if you can be of any help.
Answer:
It sounds like you need to use the VLOOKUP function.
Let's assume that the names of the students are found in Column A and the Grades in Column B.
In this case, you function will look like this:
=VLOOKUP("Bob T",$B1:$B100,2,FALSE)
With the vlookup formula, it doesn't matter on which row the data is.
This will retrieve the grade in one class. Adapt this formula for the rest of the classes and you should be
good to go.
Tags: VLOOKUP
Question:
I'm trying to work out percentage increases but when one of the cells has 0 in it
its giving me DIV/0 error How do i stop this?
Answer:
To avoid showing the DIV/0 error you should use the ISERROR() function like this:
=IF(ISERROR(A1/B1),"",A1/B1)
The function above will an empty value when the division formula returns an error.
Tags: IF ISERROR
17. how do I create a condition for date cells to change color when todays date is 30
days away from date in cell and past the date in the cell?
Answer:
I assume your data looks something like this:
To highlight the cells that are 30 days or more before today's date, you should select cell B2 and use the
following conditional formatting rule:
18. Then, copy the rule to the other cells using the brush tool (format painter) and you will get this result:
Question:
I would like to have my data in excel automatically sort every time I open it to the
preference I have pre-set. I would rather this instead of always having to select
my data, hit data, sort, and etc. How would I do this?
Answer:
This can be done by using a VBA macro. For example, if you have the following data:
19. The following code will run the sorting subroutine when the workbook is opened:
Private Sub Workbook_Open()
Call SortByRank
End Sub
And this subroutine will enable the autofilter functionality, clear all existing filters and then filter the data on
column B:
Sub SortByRank()
Range("B4").Select
Selection.AutoFilter
ActiveWorkbook.Worksheets("Sheet1").AutoFilter.Sort.SortFields.Clear
ActiveWorkbook.Worksheets("Sheet1").AutoFilter.Sort.SortFields.Add _
Key:=Range("B1:B6"), SortOn:=xlSortOnValues, _
Order:=xlAscending, DataOption:= _
xlSortNormal
With ActiveWorkbook.Worksheets("Sheet1").AutoFilter.Sort
.Header = xlYes
.MatchCase = False
.Orientation = xlTopToBottom
.SortMethod = xlPinYin
.Apply
End With
End Sub
And the end result will be this:
20. Tags: VBA
Question:
I have created a vlookup that when copied gives me different results than the
manually entered formula. When I manually enter the formula, it works perfect;
this is a document with 2000+ rows so manually entering the formula is not an
option. I have never encountered this before. Any suggestions?
Answer:
It sounds like a relative reference problem. This happens a lot with VLOOKUPs.
Your formula probably looks something like this:
=VLOOKUP(E2,A2:C9,2,FALSE)
If you copy this formula one cell down it will look like this:
=VLOOKUP(E3,A3:C10,2,FALSE)
Note that E2 changed to E3 which is good, you want the formula to lookup the value in the next row But...
21. The lookup range also changed to A3:C10, which is not good. Eventually the lookup range will change so
that the original lookup array is not even included and than you'll get error values.
To prevent this, you need to turn the lookup range into an absolute reference range, like this:
=VLOOKUP(E2,$A$2:$C$9,2,FALSE)
This way you can copy the formula and have the reference to the lookup value change without changing the
lookup array.
Tags: VLOOKUP
Question:
hi, i have a macro that inserts a row every one minute and populates the first cell
of that row with the price of a stock. I'm trying to apply an "average" function to
the first 5 cells as the prices come in. However, the range of the average is also
moving down as new rows are inserted. The objective is to anchor the range of
the average function even as new rows are added. thanks.
Answer:
The easiest way to anchor a range would be to use the INDIRECT function.
In your case the formula would be something like this:
=AVERAGE(INDIRECT("A1:A5"))
This way, even if you insert new rows, the range won't change
Question:
Can I make excel look for the highest value in a colum and then second highest
and so forth?
Answer:
To find the highest values in a column you can use the LARGE function.
for example if you want to find the highest value in column A, you'll use the following formula:
22. =LARGE(A:A,1)
To find the second highest value, just change the 1 in the previous formula to 2., like so:
=LARGE(A:A,2)
Tags: LARGE
Question:
How do I sum cells greater than a value even if there is a zero cell in between two
cells greater than the value.
Answer:
To sum cells that are greater than a value you should use the SUMIF() function.
For example, the following formula will sum all the values that are greater than 100 on column A
=SUMIF(A:A,">100")
And it doesn't matter if there is a cell that contains zero or any other value in that range.
Tags: SUMIF
I am trying to extract out a name within a cell. For example: 613490 Chong
Susanna,5087321900 In the above cell, I want to pull out just the name.
Answer:
Luckily, your string contains a space before the name and a comma after it. This makes it easy to find where
the name starts and it's length so you can 'cut' it out with the MID() function.
The following formula will extract the name for you:
=MID(A1,FIND(" ",A1)+1,FIND(",",A1)-FIND(" ",A1)-1)
Tags: MID FIND
How can I average cells but only ones with numbers greater than 0?
Answer:
23. By using the AVERAGEIF function
The following formula will return the average of all the cells that are bigger than 0 in range A1:A7 :
=AVERAGEIF(A1:A7,">0")