Section 2-2. Histograms, frequency polygons and ogives. Friday, January 25, 13
|
|
|
- Stuart Powell
- 6 years ago
- Views:
Transcription
1 Section 2-2 Histograms, frequency polygons and ogives 1
2 Histograms 2
3 Histograms The histogram is a graph that displays the data by using contiguous vertical bars of various heights to represent the frequencies of the classes. 2
4 Histograms The histogram is a graph that displays the data by using contiguous vertical bars of various heights to represent the frequencies of the classes. 2
5 Frequency Histogram 3
6 Bar graph 4
7 Histograms 5
8 Histograms Please refer to the states temperatures data from section
9 6
10 Use your ruler and draw the x and y axes. 6
11 Use your ruler and draw the x and y axes. Label each of the axes. 6
12 Use your ruler and draw the x and y axes. Label each of the axes. Scale each axes carefully. 6
13 Use your ruler and draw the x and y axes. Label each of the axes. Scale each axes carefully. Represent the class boundaries on the x axis. 6
14 Use your ruler and draw the x and y axes. Label each of the axes. Scale each axes carefully. Represent the class boundaries on the x axis. Represent the frequency on the y axis. 6
15 Use your ruler and draw the x and y axes. Label each of the axes. Scale each axes carefully. Represent the class boundaries on the x axis. Represent the frequency on the y axis. Using the frequencies as the heights, draw vertical bars for each class. 6
16 The Frequency Polygon The frequency polygon is a graph that displays the data by using lines to connect points plotted for the frequencies at the midpoints of the classes. The frequencies are represented by the heights of the points. 7
17 8
18 Frequency Polygon 9
19 10
20 Frequency Polygon Superimposed on a Histogram 10
21 Frequency Polygon Superimposed on a Histogram 10
22 Constructing a frequency polygon 11
23 Constructing a frequency polygon Step1: Find the midpoints of each class. 11
24 Constructing a frequency polygon Step1: Find the midpoints of each class. Step 2: Draw the x and y axes. Label the x axis with the midpoint of each class. Scale y axis appropriately to plot the frequencies. 11
25 Constructing a frequency polygon Step1: Find the midpoints of each class. Step 2: Draw the x and y axes. Label the x axis with the midpoint of each class. Scale y axis appropriately to plot the frequencies. Step 3: Using the midpoints for the x values and the frequencies for the y values, plot the points. 11
26 Constructing a frequency polygon Step1: Find the midpoints of each class. Step 2: Draw the x and y axes. Label the x axis with the midpoint of each class. Scale y axis appropriately to plot the frequencies. Step 3: Using the midpoints for the x values and the frequencies for the y values, plot the points. Step 4: Connect the plotted points with line segments. 11
27 The Ogive (pronounced o-jive) 12
28 The Ogive (pronounced o-jive) The ogive is a graph that represents the cumulative frequencies for the classes in a frequency distribution. 12
29 The Ogive (pronounced o-jive) The ogive is a graph that represents the cumulative frequencies for the classes in a frequency distribution. Ogive frequency graphs are constructed similar to a histogram, with one exception. In this case the y axis represents the cumulative frequency. 12
30 Cumulative Frequency 13
31 Relative frequency graphs Relative frequency graphs are constructed similar to a histogram, with one exception. In this case the y axis represents the relative frequency. 14
32 Relative Frequency Histogram 15
33 Cumulative Relative frequency graphs Relative cumulative frequency graphs are constructed similar to a histogram, with one exception. In this case the y axis represents the cumulative relative frequency. 16
34 Cumulative Relative Frequency 17
35 Homework: Read pages Applying Concepts 2-2 page 60 Make sure to answer all questions completely. Graphs must be done on graph paper; make sure to use a ruler. 18
36 Homework: Read pages Applying Concepts 2-2 page 60 Make sure to answer all questions completely. Graphs must be done on graph paper; make sure to use a ruler. Homework Exercises 2-2, page 61#7, 11 18
37 Graphing Calculator Page 61 Constructing histograms from raw data Page 62 Constructing a Histogram from a frequency distribution table 19
2. The histogram. class limits class boundaries frequency cumulative frequency
MA 115 Lecture 03 - Some Standard Graphs Friday, September, 017 Objectives: Introduce some standard statistical graph types. 1. Some Standard Kinds of Graphs Last week, we looked at the Frequency Distribution
Spell out your full name (first, middle and last)
Spell out your full name (first, middle and last) Be ready to share the following counts: Number of letters in your full name. Number of vowels Number of consonants Section 2-1 Organizing Data After completing
Courtesy :
STATISTICS The Nature of Statistics Introduction Statistics is the science of data Statistics is the science of conducting studies to collect, organize, summarize, analyze, and draw conclusions from data.
Chapter 2. Frequency Distributions and Graphs. Bluman, Chapter 2
Chapter 2 Frequency Distributions and Graphs 1 Chapter 2 Overview Introduction 2-1 Organizing Data 2-2 Histograms, Frequency Polygons, and Ogives 2-3 Other Types of Graphs 2 Chapter 2 Objectives 1. Organize
2.1: Frequency Distributions
2.1: Frequency Distributions Frequency Distribution: organization of data into groups called. A: Categorical Frequency Distribution used for and level qualitative data that can be put into categories.
- 1 - Class Intervals
- 1 - Class Intervals To work with continuous numeric data and to represent it in some sort of a graph or a chart, you have to separate the data into class intervals that is, intervals of equal length.
Frequency Distributions and Graphs
//05 C H A P T E R T W O s and s and Outline CHAPTER - Organizing Data - Histograms, Polygons, and - Other Types of -4 Paired Data and Scatter Plots Learning Objectives Organize data using a frequency
Elementary Statistics
1 Elementary Statistics Introduction Statistics is the collection of methods for planning experiments, obtaining data, and then organizing, summarizing, presenting, analyzing, interpreting, and drawing
Round each observation to the nearest tenth of a cent and draw a stem and leaf plot.
Warm Up Round each observation to the nearest tenth of a cent and draw a stem and leaf plot. 1. Constructing Frequency Polygons 2. Create Cumulative Frequency and Cumulative Relative Frequency Tables 3.
JUST THE MATHS UNIT NUMBER STATISTICS 1 (The presentation of data) A.J.Hobson
JUST THE MATHS UNIT NUMBER 18.1 STATISTICS 1 (The presentation of data) by A.J.Hobson 18.1.1 Introduction 18.1.2 The tabulation of data 18.1.3 The graphical representation of data 18.1.4 Exercises 18.1.5
Graphical Presentation for Statistical Data (Relevant to AAT Examination Paper 4: Business Economics and Financial Mathematics) Introduction
Graphical Presentation for Statistical Data (Relevant to AAT Examination Paper 4: Business Economics and Financial Mathematics) Y O Lam, SCOPE, City University of Hong Kong Introduction The most convenient
Math Tech IIII, Sep 14
Math Tech IIII, Sep 14 Variations on the Frequency Histogram 2 Book Sections: 2.3 Essential Questions: What are the methods for displaying data, and how can I build them? What are variations of the frequency
UNIT 15 GRAPHICAL PRESENTATION OF DATA-I
UNIT 15 GRAPHICAL PRESENTATION OF DATA-I Graphical Presentation of Data-I Structure 15.1 Introduction Objectives 15.2 Graphical Presentation 15.3 Types of Graphs Histogram Frequency Polygon Frequency Curve
MATH 117 Statistical Methods for Management I Chapter Two
Jubail University College MATH 117 Statistical Methods for Management I Chapter Two There are a wide variety of ways to summarize, organize, and present data: I. Tables 1. Distribution Table (Categorical
Overview. Frequency Distributions. Chapter 2 Summarizing & Graphing Data. Descriptive Statistics. Inferential Statistics. Frequency Distribution
Chapter 2 Summarizing & Graphing Data Slide 1 Overview Descriptive Statistics Slide 2 A) Overview B) Frequency Distributions C) Visualizing Data summarize or describe the important characteristics of a
Prob and Stats, Sep 4
Prob and Stats, Sep 4 Variations on the Frequency Histogram Book Sections: N/A Essential Questions: What are the methods for displaying data, and how can I build them? What are variations of the frequency
BUSINESS DECISION MAKING. Topic 1 Introduction to Statistical Thinking and Business Decision Making Process; Data Collection and Presentation
BUSINESS DECISION MAKING Topic 1 Introduction to Statistical Thinking and Business Decision Making Process; Data Collection and Presentation (Chap 1 The Nature of Probability and Statistics) (Chap 2 Frequency
This chapter will show how to organize data and then construct appropriate graphs to represent the data in a concise, easy-to-understand form.
CHAPTER 2 Frequency Distributions and Graphs Objectives Organize data using frequency distributions. Represent data in frequency distributions graphically using histograms, frequency polygons, and ogives.
Chapter 2 - Frequency Distributions and Graphs
1. Which of the following does not need to be done when constructing a frequency distribution? A) select the number of classes desired B) find the range C) make the class width an even number D) use classes
Section 2-2 Frequency Distributions. Copyright 2010, 2007, 2004 Pearson Education, Inc
Section 2-2 Frequency Distributions Copyright 2010, 2007, 2004 Pearson Education, Inc. 2.1-1 Frequency Distribution Frequency Distribution (or Frequency Table) It shows how a data set is partitioned among
MATH1635, Statistics (2)
MATH1635, Statistics (2) Chapter 2 Histograms and Frequency Distributions I. A Histogram is a form of bar graph in which: A. The width of a bar is designated by an interval or ratio data value and thus
CHAPTER 2. Objectives. Frequency Distributions and Graphs. Basic Vocabulary. Introduction. Organise data using frequency distributions.
CHAPTER 2 Objectives Organise data using frequency distributions. Distributions and Graphs Represent data in frequency distributions graphically using histograms, frequency polygons, and ogives. Represent
2.1: Frequency Distributions and Their Graphs
2.1: Frequency Distributions and Their Graphs Frequency Distribution - way to display data that has many entries - table that shows classes or intervals of data entries and the number of entries in each
Chapter 2 - Graphical Summaries of Data
Chapter 2 - Graphical Summaries of Data Data recorded in the sequence in which they are collected and before they are processed or ranked are called raw data. Raw data is often difficult to make sense
Maths Class 9 Notes for Statistics
1 P a g e Maths Class 9 Notes for Statistics BASIC TERMS Primary data : Data which collected for the first time by the statistical investigator or with the help of his workers is called primary data. Secondary
ORGANIZING THE DATA IN A FREQUENCY TABLE
ORGANIZING THE DATA IN A FREQUENCY TABLE Suppose the scores obtained by 5 students on a standardized test are as follows: 68, 55, 61, 55, 43, 59, 55, 58, 77, 6, 56, 53, 58, 7, 57, 62, 5, 69, 44, 63, 48,79,
Chapter 5snow year.notebook March 15, 2018
Chapter 5: Statistical Reasoning Section 5.1 Exploring Data Measures of central tendency (Mean, Median and Mode) attempt to describe a set of data by identifying the central position within a set of data
Test Bank for Privitera, Statistics for the Behavioral Sciences
1. A simple frequency distribution A) can be used to summarize grouped data B) can be used to summarize ungrouped data C) summarizes the frequency of scores in a given category or range 2. To determine
+ Statistical Methods in
+ Statistical Methods in Practice STA/MTH 3379 + Dr. A. B. W. Manage Associate Professor of Statistics Department of Mathematics & Statistics Sam Houston State University Discovering Statistics 2nd Edition
Rational Numbers: Graphing: The Coordinate Plane
Rational Numbers: Graphing: The Coordinate Plane A special kind of plane used in mathematics is the coordinate plane, sometimes called the Cartesian plane after its inventor, René Descartes. It is one
Warm-Up Exercises. Find the x-intercept and y-intercept 1. 3x 5y = 15 ANSWER 5; y = 2x + 7 ANSWER ; 7
Warm-Up Exercises Find the x-intercept and y-intercept 1. 3x 5y = 15 ANSWER 5; 3 2. y = 2x + 7 7 2 ANSWER ; 7 Chapter 1.1 Graph Quadratic Functions in Standard Form A quadratic function is a function that
McGraw-Hill Ryerson. Data Management 12. Section 5.1 Continuous Random Variables. Continuous Random. Variables
McGraw-Hill Ryerson Data Management 12 Section Continuous Random I am learning to distinguish between discrete variables and continuous variables work with sample values for situations that can take on
B. Graphing Representation of Data
B Graphing Representation of Data The second way of displaying data is by use of graphs Although such visual aids are even easier to read than tables, they often do not give the same detail It is essential
Chapter 2 Organizing and Graphing Data. 2.1 Organizing and Graphing Qualitative Data
Chapter 2 Organizing and Graphing Data 2.1 Organizing and Graphing Qualitative Data 2.2 Organizing and Graphing Quantitative Data 2.3 Stem-and-leaf Displays 2.4 Dotplots 2.1 Organizing and Graphing Qualitative
Lecture Slides. Elementary Statistics Tenth Edition. by Mario F. Triola. and the Triola Statistics Series. Slide 1
Lecture Slides Elementary Statistics Tenth Edition and the Triola Statistics Series by Mario F. Triola Slide 1 Chapter 2 Summarizing and Graphing Data 2-1 Overview 2-2 Frequency Distributions 2-3 Histograms
a. divided by the. 1) Always round!! a) Even if class width comes out to a, go up one.
Probability and Statistics Chapter 2 Notes I Section 2-1 A Steps to Constructing Frequency Distributions 1 Determine number of (may be given to you) a Should be between and classes 2 Find the Range a The
CHAPTER 2 REVIEW COORDINATE GEOMETRY MATH Warm-Up: See Solved Homework questions. 2.2 Cartesian coordinate system
CHAPTER 2 REVIEW COORDINATE GEOMETRY MATH6 2.1 Warm-Up: See Solved Homework questions 2.2 Cartesian coordinate system Coordinate axes: Two perpendicular lines that intersect at the origin O on each line.
Lecture Slides. Elementary Statistics Twelfth Edition. by Mario F. Triola. and the Triola Statistics Series. Section 2.1- #
Lecture Slides Elementary Statistics Twelfth Edition and the Triola Statistics Series by Mario F. Triola Chapter 2 Summarizing and Graphing Data 2-1 Review and Preview 2-2 Frequency Distributions 2-3 Histograms
STATISTICS Chapter (1) Introduction
REFERENCES: 1. Calculus and analytic geometry By Thomas / FINNEY sixth Edition. 2. Advanced engineering mathematics By C.Ray Wylie fifth edition Lovis C. Barrett 3. Mathematical Methods for science students
Lecture Series on Statistics -HSTC. Frequency Graphs " Dr. Bijaya Bhusan Nanda, Ph. D. (Stat.)
Lecture Series on Statistics -HSTC Frequency Graphs " By Dr. Bijaya Bhusan Nanda, Ph. D. (Stat.) CONTENT Histogram Frequency polygon Smoothed frequency curve Cumulative frequency curve or ogives Learning
Chapter 2: Graphical Summaries of Data 2.1 Graphical Summaries for Qualitative Data. Frequency: Frequency distribution:
Chapter 2: Graphical Summaries of Data 2.1 Graphical Summaries for Qualitative Data Frequency: Frequency distribution: Example 2.1 The following are survey results from Fall 2014 Statistics class regarding
This is called the vertex form of the quadratic equation. To graph the equation
Name Period Date: Topic: 7-5 Graphing ( ) Essential Question: What is the vertex of a parabola, and what is its axis of symmetry? Standard: F-IF.7a Objective: Graph linear and quadratic functions and show
2.4-Statistical Graphs
2.4-Statistical Graphs Frequency Polygon: A frequency polygon uses line segments connected to points directly above class midpoint values. Example: Given the following frequency table for the pulse rate
Chapter 2: Transformations. Chapter 2 Transformations Page 1
Chapter 2: Transformations Chapter 2 Transformations Page 1 Unit 2: Vocabulary 1) transformation 2) pre-image 3) image 4) map(ping) 5) rigid motion (isometry) 6) orientation 7) line reflection 8) line
Raw Data. Statistics 1/8/2016. Relative Frequency Distribution. Frequency Distributions for Qualitative Data
Statistics Raw Data Raw data is random and unranked data. Organizing Data Frequency distributions list all the categories and the numbers of elements that belong to each category Frequency Distributions
28 CHAPTER 2 Summarizing and Graphing Data
8 CHAPTER Summarizing and Graphing Data. The two requested histograms are given below. They give very different visual images of the shape of the distribution. An outlier can have a significant effect
Chapter 2 Describing, Exploring, and Comparing Data
Slide 1 Chapter 2 Describing, Exploring, and Comparing Data Slide 2 2-1 Overview 2-2 Frequency Distributions 2-3 Visualizing Data 2-4 Measures of Center 2-5 Measures of Variation 2-6 Measures of Relative
Section 1.1 The Distance and Midpoint Formulas
Section 1.1 The Distance and Midpoint Formulas 1 y axis origin x axis 2 Plot the points: ( 3, 5), (0,7), ( 6,0), (6,4) 3 Distance Formula y x 4 Finding the Distance Between Two Points Find the distance
2.3 Organizing Quantitative Data
2.3 Organizing Quantitative Data This section will focus on ways to organize quantitative data into tables, charts, and graphs. Quantitative data is organized by dividing the observations into classes
f( x ), or a solution to the equation f( x) 0. You are already familiar with ways of solving
The Bisection Method and Newton s Method. If f( x ) a function, then a number r for which f( r) 0 is called a zero or a root of the function f( x ), or a solution to the equation f( x) 0. You are already
STRAIGHT LINE GRAPHS THE COORDINATES OF A POINT. The coordinates of any point are written as an ordered pair (x, y)
THE COORDINATES OF A POINT STRAIGHT LINE GRAPHS The coordinates of any point are written as an ordered pair (x, y) Point P in the diagram has coordinates (2, 3). Its horizontal distance along the x axis
CHAPTER 7- STATISTICS
CHAPTER 7- STATISTICS 7. MEASURE OF CETRAL TEDECY 7.. Ungrouped Data We have learned how to find mode, median and mean of ungrouped data in Form Three. So this is just a revision for us to remind on it.
Teaching Tips for Each Chapter
CHAPTER 1: GETTING STARTED Double-Blind Studies (Section 1.3) Teaching Tips for Each Chapter The double-blind method of data collection, mentioned at the end of Section 1.3, is an important part of standard
Lesson 19: The Graph of a Linear Equation in Two Variables is a Line
Lesson 19: The Graph of a Linear Equation in Two Variables is a Line Classwork Exercises Theorem: The graph of a linear equation y = mx + b is a non-vertical line with slope m and passing through (0, b),
Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations
Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations origin (x, y) Ordered pair (x-coordinate, y-coordinate) (abscissa, ordinate) x axis Rectangular or
Processing, representing and interpreting data
Processing, representing and interpreting data 21 CHAPTER 2.1 A head CHAPTER 17 21.1 polygons A diagram can be drawn from grouped discrete data. A diagram looks the same as a bar chart except that the
Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation
Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation Chapter 2 McGraw-Hill/Irwin Copyright 2010 by The McGraw-Hill Companies, Inc. All rights reserved. GOALS 1. Organize
Special Lines and Constructions of Regular Polygons
Special Lines and Constructions of Regular Polygons A regular polygon with a center A is made up of congruent isosceles triangles with a principal angle A. The red line in the regular pentagon below is
Chapter 12: Quadratic and Cubic Graphs
Chapter 12: Quadratic and Cubic Graphs Section 12.1 Quadratic Graphs x 2 + 2 a 2 + 2a - 6 r r 2 x 2 5x + 8 2y 2 + 9y + 2 All the above equations contain a squared number. They are therefore called quadratic
8 Organizing and Displaying
CHAPTER 8 Organizing and Displaying Data for Comparison Chapter Outline 8.1 BASIC GRAPH TYPES 8.2 DOUBLE LINE GRAPHS 8.3 TWO-SIDED STEM-AND-LEAF PLOTS 8.4 DOUBLE BAR GRAPHS 8.5 DOUBLE BOX-AND-WHISKER PLOTS
download instant at Summarizing Data: Listing and Grouping
Ch. 2 download instant at www.easysemester.com Summarizing Data: Listing and Grouping 2.1 Multiple Choice Questions MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers
UC Davis MAT 012, Summer Session II, Midterm Examination
UC Davis MAT 012, Summer Session II, 2018 Midterm Examination Name: Student ID: DATE: August 24, 2018 TIME ALLOWED: 100 minutes INSTRUCTIONS 1. This examination paper contains SEVEN (7) questions and comprises
TMTH 3360 NOTES ON COMMON GRAPHS AND CHARTS
To Describe Data, consider: Symmetry Skewness TMTH 3360 NOTES ON COMMON GRAPHS AND CHARTS Unimodal or bimodal or uniform Extreme values Range of Values and mid-range Most frequently occurring values In
a. Plot the point (x, y, z) and understand it as a vertex of a rectangular prism. c. Recognize and understand equations of planes and spheres.
Standard: MM3G3 Students will investigate planes and spheres. a. Plot the point (x, y, z) and understand it as a vertex of a rectangular prism. b. Apply the distance formula in 3-space. c. Recognize and
GeoGebra. 10 Lessons. maths.com. Gerrit Stols. For more info and downloads go to:
GeoGebra in 10 Lessons For more info and downloads go to: http://school maths.com Gerrit Stols Acknowledgements Download GeoGebra from http://www.geogebra.org GeoGebra is dynamic mathematics open source
3190 Week W 3 Graphing Data
3190 Week 3 Graphing Data Why graph? Reports should be integrated They should be narrative They should be simple, yet provide detail as needed They should ldbe visual Assume an ignorant audience (not stupid,
a b c d e f Guided practice worksheet Questions are targeted at the grades indicated Areas and perimeters
2 14.1 14.2 Areas and perimeters 1 Work out the area of the following shapes. 8 cm 7 cm 11 cm......... d e f 6 cm 6 cm 10 cm 9 cm......... 2 Work out the area of the following shapes. a b c 3 mm 3 mm 10
Quick. Efficient. Versatile. Graphing Software for Scientists and Engineers.
Quick. GrapherTM 3 Efficient. Versatile. Graphing Discover the easy-to-use and powerful capabilities of Grapher 3! Your graphs are too important not to use the most superior graphing program available.
Section Graphs of the Sine and Cosine Functions
Section 5. - Graphs of the Sine and Cosine Functions In this section, we will graph the basic sine function and the basic cosine function and then graph other sine and cosine functions using transformations.
MARK SCHEME for the October/November 2013 series 0580 MATHEMATICS
CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education www.xtremepapers.com MARK SCHEME for the October/November 03 series 0580 MATHEMATICS 0580/4 Paper 4 (Extended),
Introduction to Minitab 1
Introduction to Minitab 1 We begin by first starting Minitab. You may choose to either 1. click on the Minitab icon in the corner of your screen 2. go to the lower left and hit Start, then from All Programs,
In today s lecture we ll have a look at: A simple technique The mid-point circle algorithm
Drawing Circles In today s lecture we ll have a look at: Circle drawing algorithms A simple technique The mid-point circle algorithm Polygon fill algorithms Summary raster drawing algorithms A Simple Circle
Lesson 1. Unit 2 Practice Problems. Problem 2. Problem 1. Solution 1, 4, 5. Solution. Problem 3
Unit 2 Practice Problems Lesson 1 Problem 1 Rectangle measures 12 cm by 3 cm. Rectangle is a scaled copy of Rectangle. Select all of the measurement pairs that could be the dimensions of Rectangle. 1.
Spreadsheet and Graphing Exercise Biology 210 Introduction to Research
1 Spreadsheet and Graphing Exercise Biology 210 Introduction to Research There are many good spreadsheet programs for analyzing data. In this class we will use MS Excel. Below are a series of examples
Elementary Statistics. Organizing Raw Data
Organizing Raw Data What is a Raw Data? Raw Data (sometimes called source data) is data that has not been processed for meaningful use. What is a Frequency Distribution Table? A Frequency Distribution
Review for Mastery Using Graphs and Tables to Solve Linear Systems
3-1 Using Graphs and Tables to Solve Linear Systems A linear system of equations is a set of two or more linear equations. To solve a linear system, find all the ordered pairs (x, y) that make both equations
Downloaded from
UNIT 2 WHAT IS STATISTICS? Researchers deal with a large amount of data and have to draw dependable conclusions on the basis of data collected for the purpose. Statistics help the researchers in making
Chapter Two: Descriptive Methods 1/50
Chapter Two: Descriptive Methods 1/50 2.1 Introduction 2/50 2.1 Introduction We previously said that descriptive statistics is made up of various techniques used to summarize the information contained
MATHEMATICS. (Two hours and a half) Answers to this Paper must be written on the paper provided separately.
MATHEMATICS (Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent in reading
Introduction to CS databases and statistics in Excel Jacek Wiślicki, Laurent Babout,
One of the applications of MS Excel is data processing and statistical analysis. The following exercises will demonstrate some of these functions. The base files for the exercises is included in http://lbabout.iis.p.lodz.pl/teaching_and_student_projects_files/files/us/lab_04b.zip.
Lesson 6. Opening Exercise 1. Without graphing, state the vertex for each of the following quadratic equations.
: Further Exploration of Vertex Form, yy = aa(xx hh) + kk Opening Exercise 1. Without graphing, state the vertex for each of the following quadratic equations. A. yy = (xx 5) + 3 B. yy = xx.5 C. yy = (xx
UNIT 6 CONNECTING ALGEBRA AND GEOMETRY THROUGH COORDINATES Station Activities Set 1: Parallel Lines, Slopes, and Equations
Station Activities Set 1: Parallel Lines, Slopes, and Equations Station 1 At this station, you will find rulers. Use these to help you determine whether or not the following lines are parallel. Look at
LESSON 3: CENTRAL TENDENCY
LESSON 3: CENTRAL TENDENCY Outline Arithmetic mean, median and mode Ungrouped data Grouped data Percentiles, fractiles, and quartiles Ungrouped data Grouped data 1 MEAN Mean is defined as follows: Sum
Raw Data is data before it has been arranged in a useful manner or analyzed using statistical techniques.
Section 2.1 - Introduction Graphs are commonly used to organize, summarize, and analyze collections of data. Using a graph to visually present a data set makes it easy to comprehend and to describe the
Chapter 4. Part 1 AutoCAD Basics
Chapter 4. Part 1 AutoCAD Basics Chapter Objectives Describe the AutoCAD screen layout. Perform an AutoCAD drawing setup, including setting units, limits, layers, linetypes, and lineweights. Explain the
2
1 2 3 4 5 6 7 8 9 The inventor from the story used his knowledge of sequences to his advantage to gain riches. A sequence is a pattern involving an ordered arrangement of numbers, geometric figures, letters,
Unit 5 Test 2 MCC5.G.1 StudyGuide/Homework Sheet
Unit 5 Test 2 MCC5.G.1 StudyGuide/Homework Sheet Tuesday, February 19, 2013 (Crosswalk Coach Page 221) GETTING THE IDEA! An ordered pair is a pair of numbers used to locate a point on a coordinate plane.
Frequency Distributions
Displaying Data Frequency Distributions After collecting data, the first task for a researcher is to organize and summarize the data so that it is possible to get a general overview of the results. Remember,
Math 227 EXCEL / MEGASTAT Guide
Math 227 EXCEL / MEGASTAT Guide Introduction Introduction: Ch2: Frequency Distributions and Graphs Construct Frequency Distributions and various types of graphs: Histograms, Polygons, Pie Charts, Stem-and-Leaf
9.1: GRAPHING QUADRATICS ALGEBRA 1
9.1: GRAPHING QUADRATICS ALGEBRA 1 OBJECTIVES I will be able to graph quadratics: Given in Standard Form Given in Vertex Form Given in Intercept Form What does the graph of a quadratic look like? https://www.desmos.com/calculator
Graphs of Equations. MATH 160, Precalculus. J. Robert Buchanan. Fall Department of Mathematics. J. Robert Buchanan Graphs of Equations
Graphs of Equations MATH 160, Precalculus J. Robert Buchanan Department of Mathematics Fall 2011 Objectives In this lesson we will learn to: sketch the graphs of equations, find the x- and y-intercepts
Chapter 2. Frequency distribution. Summarizing and Graphing Data
Frequency distribution Chapter 2 Summarizing and Graphing Data Shows how data are partitioned among several categories (or classes) by listing the categories along with the number (frequency) of data values
Displaying Distributions - Quantitative Variables
Displaying Distributions - Quantitative Variables Lecture 13 Sections 4.4.1-4.4.3 Robb T. Koether Hampden-Sydney College Wed, Feb 8, 2012 Robb T. Koether (Hampden-Sydney College)Displaying Distributions
Reflections, Translations, and Dilations
Reflections, Translations, and Dilations Step 1: Graph and label the following points on your coordinate plane. A (2,2) B (2,8) C (8,8) D (8,2) Step 2: Step 3: Connect the dots in alphabetical order to
Microscopic Measurement
Microscopic Measurement Estimating Specimen Size : The area of the slide that you see when you look through a microscope is called the " field of view ". If you know the diameter of your field of view,
Measures of Central Tendency
Page of 6 Measures of Central Tendency A measure of central tendency is a value used to represent the typical or average value in a data set. The Mean The sum of all data values divided by the number of
CAMI Education links: Maths NQF Level 2
- 1 - CONTENT 1.1 Computational tools, estimation and approximations 1.2 Numbers MATHEMATICS - NQF Level 2 LEARNING OUTCOME Scientific calculator - addition - subtraction - multiplication - division -
Introduction to Geometry (Autumn Tertm 2012) Exercises 3. Section A. Figure 1
Introduction to Geometry (utumn ertm 2012) Exercises 3 Section 1. Show that in Figure 1(i) below, = (Euclid III.35). p (i) (ii) Figure 1 (iii) 2. What is the angle-sum in a quadrilateral on the sphere,
SAMLab Handout #5 Creating Graphs
Creating Graphs The purpose of this tip sheet is to provide a basic demonstration of how to create graphs with Excel. Excel can generate a wide variety of graphs, but we will use only two as primary examples.
11.9 Three dimensional Coordinates
11.9 Three dimensional Coordinates Apr 1 10:06 AM 1 A Three Dimensional Coordinate System Dec 9 5:26 PM 2 With an ordered triple (x, y, z) Dec 9 5:26 PM 3 x axis y axis z axis Dec 9 5:26 PM 4 Dec 9 5:26