Chapter 2 Displaying and Describing Categorical Data
|
|
- Nathaniel Jenkins
- 6 years ago
- Views:
Transcription
1 Chapter 2 Displaying and Describing Categorical Data
2 Graphs for Categorical Variables Our concern will be two types of visual representations.
3 Graphs for Categorical Variables Our concern will be two types of visual representations. 1 Pie charts
4 Graphs for Categorical Variables Our concern will be two types of visual representations. 1 Pie charts 2 Bar graphs
5 Graphs for Categorical Variables Our concern will be two types of visual representations. 1 Pie charts 2 Bar graphs Since these both deal with categorical data, they both deal with counts in categories, so we are graphing either raw counts (frequency) or percentages (relative frequency).
6 Graphs for Categorical Variables Our concern will be two types of visual representations. 1 Pie charts 2 Bar graphs Since these both deal with categorical data, they both deal with counts in categories, so we are graphing either raw counts (frequency) or percentages (relative frequency). Important Note: For all graphs, be sure to label everything clearly.
7 Pie Charts Example You sit on an overpass and record the color of the first 100 cars you see. The results are as follows: color frequency red 15 blue 21 green 18 white 22 black 19 other 5 Construct a pie chart to illustrate the relationship between the colors of these cars.
8 How We Construct Pie Charts What are the important things to keep in mind?
9 How We Construct Pie Charts What are the important things to keep in mind? 1 Must make up to 100%
10 How We Construct Pie Charts What are the important things to keep in mind? 1 Must make up to 100% 2 Sections must be in proper size relation
11 How We Construct Pie Charts What are the important things to keep in mind? 1 Must make up to 100% 2 Sections must be in proper size relation To accomplish the latter, we use central angles. Definition The central angle is the angle whose vertex is the center of the circle and whose rays are radii of the circle.
12 Central Angles So how do we find the central angle associated with a section of the pie chart?
13 Central Angles So how do we find the central angle associated with a section of the pie chart? Central Angle Calculation To find the central angle, multiply the relative frequency by 360.
14 Central Angles So how do we find the central angle associated with a section of the pie chart? Central Angle Calculation To find the central angle, multiply the relative frequency by 360. color frequency central angle red = 54
15 Central Angles So how do we find the central angle associated with a section of the pie chart? Central Angle Calculation To find the central angle, multiply the relative frequency by 360. color frequency central angle red = 54 blue green white black other 5 18
16 The Resulting Pie Chart Blue Green 18% 21% 15% Red 5% Other 22% 19% White Black
17 Drawbacks to Pie Charts 1 We must use relative frequencies
18 Drawbacks to Pie Charts 1 We must use relative frequencies 2 It is just as easy to read the frequency table as the pie chart
19 Drawbacks to Pie Charts 1 We must use relative frequencies 2 It is just as easy to read the frequency table as the pie chart 3 Only good for categorical variables
20 Drawbacks to Pie Charts 1 We must use relative frequencies 2 It is just as easy to read the frequency table as the pie chart 3 Only good for categorical variables 4 Not easy to compare two variables
21 Drawbacks to Pie Charts 1 We must use relative frequencies 2 It is just as easy to read the frequency table as the pie chart 3 Only good for categorical variables 4 Not easy to compare two variables 5 Easy to manipulate
22 Drawbacks to Pie Charts 1 We must use relative frequencies 2 It is just as easy to read the frequency table as the pie chart 3 Only good for categorical variables 4 Not easy to compare two variables 5 Easy to manipulate 6 Be careful that all percentages are calculated the same way (i.e. the same denominator)
23 Another Pie Chart Example Example The following is a breakdown of the solid waste that made up America s garbage in Values given represent millions of tons. Material Weight Food 25.9 Glass 12.8 Metal 18.0 Paper 86.7 Plastics 24.7 Rubber 15.8 Wood 12.7 Yard Trimmings 27.7 Other 7.5 Create a pie chart to represent this data.
24 Solution We can t make a pie chart with this data; at least not yet. What do we need?
25 Solution We can t make a pie chart with this data; at least not yet. What do we need? Material Weight Relative Frequency Food % Glass % Metal % Paper % Plastics % Rubber % Wood % Yard Trimmings % Other % 231.9
26 Solution Now we can find the central angles and create our pie chart.
27 Solution Now we can find the central angles and create our pie chart. Material Weight Relative Frequency Central Angle Food % 40.3 Glass % 19.8 Metal % 28.1 Paper % Plastics % 38.5 Rubber % 24.5 Wood % 19.8 Yard Trimmings % 42.8 Other % 11.5
28 Paper 37% Metal Glass 7% 6% Food 11% Plastics 11% 3% Other 12% 7% 6% Trimmings Wood Rubber
29 Bar Graphs Bar graphs basically give us the same information as a pie chart, with a couple advantages.
30 Bar Graphs Bar graphs basically give us the same information as a pie chart, with a couple advantages. 1 We can use raw frequencies as all that matters is the size of the rectangle
31 Bar Graphs Bar graphs basically give us the same information as a pie chart, with a couple advantages. 1 We can use raw frequencies as all that matters is the size of the rectangle 2 We can compare multiple variables
32 Bar Graphs Bar graphs basically give us the same information as a pie chart, with a couple advantages. 1 We can use raw frequencies as all that matters is the size of the rectangle 2 We can compare multiple variables Important The bars must all be of the same width.
33 The Good and the Not-So-Good Generally used for categorical variables
34 The Good and the Not-So-Good Generally used for categorical variables Bars can be vertical or horizontal
35 The Good and the Not-So-Good Generally used for categorical variables Bars can be vertical or horizontal Cannot analyze distribution because the order of the classes is not necessarily in numerical order
36 The Good and the Not-So-Good Generally used for categorical variables Bars can be vertical or horizontal Cannot analyze distribution because the order of the classes is not necessarily in numerical order Can be used for comparisons
37 Bar Graph Example Example The growth of the US population age 65 and over is given in the table. Create a bar graph to represent this data
38 Here s the Graph 20 Age of Seniors by Decade Percent Year
39 Note Notice that we can t do much analysis here other than see which class has the most. We don t even have to put the bars in any kind of order; if we did by size, we d have a paredo graph. But since order does not matter, we cannot talk about the distribution the same way we will be able to for quantitative variables.
40 Comparisons Using Bar Graphs Example Create a bar graph for the given causes of death and analyze the results. Values given are the number per 100,000 people. Cause of Death Cardiovascular Cancer Accidents
41 And Our Graph Number of Deaths (per 100,000) Causes of Death Legend Cardiovascular Cancer Accidents Year 2000
42 And Our Graph Number of Deaths (per 100,000) Causes of Death Legend Cardiovascular Cancer Accidents Year 2000 Analysis?
43 Analysis Cancer and accidents are roughly the same in each decade
44 Analysis Cancer and accidents are roughly the same in each decade Cardiovascular disease decreases each decade and is approaching level of cancer deaths
45 Segmented Bar Graphs Usage Segmented bar graphs are best used to show the cummulative effect of a categorical variable.
46 Contingency Tables Definition Contingency tables are another way to display data. They differ from frequency tables in that each variable is distributed across different categories.
47 Contingency Tables Definition Contingency tables are another way to display data. They differ from frequency tables in that each variable is distributed across different categories. Contingency tables look like charts with values based on different conditions. We often see these broken out by gender and by whether or not the people have a particular characteristic.
48 Contingency Table Example Example Suppose the following data was collected from voters leaving a polling station during the 2008 Presidential election. People were asked how they identified themselves and for which candidate they voted. Strong Weak Ind Ind Ind Weak Strong Row Total Dem Dem Dem Repub Repub Repub McCain (2.6) (14.9) (11.7) (40.2) (79.5) (89.6) (97.0) (49.1) Obama (97.4) (85.1) (83.1) (57.6) (14.2) (10.4) (3.0) (49.2) Other (0.0) (0.0) (5.2) (2.3) (6.4) (0.0) (0.0) (1.7) Column Total (100) (100) (100) (100) (100) (100) (100) (100)
49 Now the Questions Strong Weak Ind Ind Ind Weak Strong Row Total Dem Dem Dem Repub Repub Repub McCain (2.6) (14.9) (11.7) (40.2) (79.5) (89.6) (97.0) (49.1) Obama (97.4) (85.1) (83.1) (57.6) (14.2) (10.4) (3.0) (49.2) Other (0.0) (0.0) (5.2) (2.3) (6.4) (0.0) (0.0) (1.7) Column Total (100) (100) (100) (100) (100) (100) (100) (100) 1 What percent of those who identify themselves as Independent Democrats voted for Obama?
50 Now the Questions Strong Weak Ind Ind Ind Weak Strong Row Total Dem Dem Dem Repub Repub Repub McCain (2.6) (14.9) (11.7) (40.2) (79.5) (89.6) (97.0) (49.1) Obama (97.4) (85.1) (83.1) (57.6) (14.2) (10.4) (3.0) (49.2) Other (0.0) (0.0) (5.2) (2.3) (6.4) (0.0) (0.0) (1.7) Column Total (100) (100) (100) (100) (100) (100) (100) (100) 1 What percent of those who identify themselves as Independent Democrats voted for Obama? 2 What percent of those who identify themselves as Weak Republicans voted for McCain?
51 Now the Questions Strong Weak Ind Ind Ind Weak Strong Row Total Dem Dem Dem Repub Repub Repub McCain (2.6) (14.9) (11.7) (40.2) (79.5) (89.6) (97.0) (49.1) Obama (97.4) (85.1) (83.1) (57.6) (14.2) (10.4) (3.0) (49.2) Other (0.0) (0.0) (5.2) (2.3) (6.4) (0.0) (0.0) (1.7) Column Total (100) (100) (100) (100) (100) (100) (100) (100) 1 What percent of those who identify themselves as Independent Democrats voted for Obama? 2 What percent of those who identify themselves as Weak Republicans voted for McCain? 3 What percent of people identify themselves as Independent?
52 What If We Went The Other Way? Strong Weak Ind Ind Ind Weak Strong Row Total Dem Dem Dem Repub Repub Repub McCain (2.6) (14.9) (11.7) (40.2) (79.5) (89.6) (97.0) (49.1) Obama (97.4) (85.1) (83.1) (57.6) (14.2) (10.4) (3.0) (49.2) Other (0.0) (0.0) (5.2) (2.3) (6.4) (0.0) (0.0) (1.7) Column Total (100) (100) (100) (100) (100) (100) (100) (100) What percent of McCain voters consider themselves as weak Republicans?
53 What If We Went The Other Way? Strong Weak Ind Ind Ind Weak Strong Row Total Dem Dem Dem Repub Repub Repub McCain (2.6) (14.9) (11.7) (40.2) (79.5) (89.6) (97.0) (49.1) Obama (97.4) (85.1) (83.1) (57.6) (14.2) (10.4) (3.0) (49.2) Other (0.0) (0.0) (5.2) (2.3) (6.4) (0.0) (0.0) (1.7) Column Total (100) (100) (100) (100) (100) (100) (100) (100) What percent of McCain voters consider themselves as weak Republicans? These percentages are based on the column sums. What must we consider to find our answer?
54 What If We Went The Other Way? Strong Weak Ind Ind Ind Weak Strong Row Total Dem Dem Dem Repub Repub Repub McCain (2.6) (14.9) (11.7) (40.2) (79.5) (89.6) (97.0) (49.1) Obama (97.4) (85.1) (83.1) (57.6) (14.2) (10.4) (3.0) (49.2) Other (0.0) (0.0) (5.2) (2.3) (6.4) (0.0) (0.0) (1.7) Column Total (100) (100) (100) (100) (100) (100) (100) (100) What percent of McCain voters consider themselves as weak Republicans? These percentages are based on the column sums. What must we consider to find our answer? Row totals
55 What If We Went The Other Way? Strong Weak Ind Ind Ind Weak Strong Row Total Dem Dem Dem Repub Repub Repub McCain (2.6) (14.9) (11.7) (40.2) (79.5) (89.6) (97.0) (49.1) Obama (97.4) (85.1) (83.1) (57.6) (14.2) (10.4) (3.0) (49.2) Other (0.0) (0.0) (5.2) (2.3) (6.4) (0.0) (0.0) (1.7) Column Total (100) (100) (100) (100) (100) (100) (100) (100) What percent of McCain voters consider themselves as weak Republicans? These percentages are based on the column sums. What must we consider to find our answer? Row totals = 26.7%
Chapter 3 Displaying and Describing Categorical Data
Chapter 3 Displaying and Describing Categorical Data Stats: Modeling the World Chapter 3 are often used to organize categorical data. Frequency tables display the category names and the of the number of
More informationChapter 2 - Displaying and Describing Categorical Data
Chapter 2 - Displaying and Describing Categorical Data August 28, 2014 Exploratory Data Analysis - The use of graphs or numerical summaries (values) to describe the variables in a data set and the relation
More informationChapter 3 - Displaying and Describing Categorical Data
Chapter 3 - Displaying and Describing Categorical Data August 25, 2010 Exploratory Data Analysis - The use of graphs or numerical summaries (values) to describe the variables in a data set and the relation
More informationAcknowledgement: Author is indebted to Dr. Jennifer Kaplan, Dr. Parthanil Roy and Dr Ashoke Sinha for allowing him to use/edit many of their slides.
Acknowledgement: Author is indebted to Dr. Jennifer Kaplan, Dr. Parthanil Roy and Dr Ashoke Sinha for allowing him to use/edit many of their slides. Topic for this lecture 0Today s lecture s materials
More informationAnalyzing Categorical Data & Displaying Quantitative Data Section 1.1 & 1.2
Analyzing Categorical Data & Displaying Quantitative Data Section 1.1 & 1.2 Reference Text: The Practice of Statistics, Fourth Edition. Starnes, Yates, Moore Starter Problem Antoinette plays a lot of golf.
More informationSTAT 155 Introductory Statistics. Lecture 2: Displaying Distributions with Graphs
The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL STAT 155 Introductory Statistics Lecture 2: Displaying Distributions with Graphs 8/29/06 Lecture 2-1 1 Recall Statistics is the science of data. Collecting
More information3. EXCEL FORMULAS & TABLES
Winter 2017 CS130 - Excel Formulas & Tables 1 3. EXCEL FORMULAS & TABLES Winter 2017 Winter 2017 CS130 - Excel Formulas & Tables 2 Cell References Absolute reference - refer to cells by their fixed position.
More informationNote that all proportions are between 0 and 1. at risk. How to construct a sentence describing a. proportion:
Biostatistics and Research Design in Dentistry Categorical Data Reading assignment Chapter 3 Summarizing data in Dawson-Trapp starting with Summarizing nominal and ordinal data with numbers on p 40 thru
More informationGrade 6 Math Circles Fall October 7/8 Statistics
Faculty of Mathematics Waterloo, Ontario Centre for Education in Mathematics and Computing Grade 6 Math Circles Fall 2014 - October 7/8 Statistics Statistics (or Stats) is a branch of math that deals with
More informationInternet Technology Fundamentals. To use a passing score at the percentiles listed below:
Internet Technology Fundamentals To use a passing score at the percentiles listed below: PASS candidates with this score or HIGHER: 2.90 High Scores Medium Scores Low Scores Percentile Rank Proficiency
More informationChapter 2 - Frequency Distributions and Graphs
- 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
More informationDescriptive Stats. Review
Descriptive Stats Review Categorical Data The Area Principal Distorts the data possibly making it harder to compare categories Everything should add up to 100% When we add up all of our categorical data,
More informationConstructing and Interpreting Two-Way Frequency Tables
ACTIVITY 5.1 Constructing and Interpreting Two-Way Frequency Tables Ms. Carter is an athletic coordinator at Liberty Middle School. She is developing an after-school sports program. Ms. Carter has a budget
More informationThe Coach then sorts the 25 players into separate teams and positions
Section 4 A: Contingency Tables Introduction A local school has a Varsity and Junior Varsity basketball team. No player plays on both teams and no player plays at more than one position. The coach writes
More informationOrganizing Quantitative Data
Organizing Quantitative Data MATH 130, Elements of Statistics I J. Robert Buchanan Department of Mathematics Fall 2018 Objectives At the end of this lesson we will be able to: organize discrete data in
More informationAge of Fans
Measures of Central Tendency SUGGESTED LEARNING STRATEGIES: Activating Prior Knowledge, Interactive Word Wall, Marking the Text, Summarize/Paraphrase/Retell, Think/Pair/Share Matthew is a student reporter
More informationChapter 2: Visual Description of Data
Chapter 2: Visual Description of Data El Mechry El Koudous Fordham University January 24, 2018 Meshry (Fordham University) Chapter 2 January 24, 2018 1 / 35 Introduction In this chapter we will cover:
More informationCIRCLE The Center for Information & Research on Civic Learning & Engagement. Electoral Engagement Among Minority Youth
FACT SHEET CIRCLE The Center for Information & Research on Civic Learning & Engagement Electoral Engagement Among Minority Youth By Mark Hugo Lopez, Research Director and Emily Kirby, Research Associate
More informationWarm-up. Make a bar graph to display these data. What additional information do you need to make a pie chart?
Warm-up The number of deaths among persons aged 15 to 24 years in the United States in 1997 due to the seven leading causes of death for this age group were accidents, 12,958; homicide, 5,793; suicide,
More informationDaron Shaw Department of Government University of Texas at Austin
Issues, Ideology, Gender, and Race in the 2008 Election Daron Shaw Department of Government University of Texas at Austin Hosted by the s Opportunity 08 project In partnership with the Center for the Study
More informationAmerica s Diversity Explosion: What it means for Presidential Politics. WILLIAM H. FREY Brookings Institution and University of Michigan
America s Diversity Explosion: What it means for Presidential Politics r WILLIAM H. FREY Brookings Institution and University of Michigan Millions 225 U.S. White and Minority Populations, 1970-2050 200
More informationPSY201: Chapter 5: The Normal Curve and Standard Scores
PSY201: Chapter 5: The Normal Curve and Standard Scores Introduction: Normal curve + a very important distribution in behavior sciences + three principal reasons why... - 1. many of the variables measured
More information1. The data below gives the eye colors of 20 students in a Statistics class. Make a frequency table for the data.
1. The data below gives the eye colors of 20 students in a Statistics class. Make a frequency table for the data. Green Blue Brown Blue Blue Brown Blue Blue Blue Green Blue Brown Blue Brown Brown Blue
More informationNAME: A graph contains five major parts: a. Title b. The independent variable c. The dependent variable d. The scales for each variable e.
NAME: Graphing is an important procedure used by scientists to display the data that is collected during a controlled experiment. Line graphs demonstrate change over time and must be constructed correctly
More informationMeasuring Relative Achievements: Percentile rank and Percentile point
Measuring Relative Achievements: Percentile rank and Percentile point Consider an example where you receive the same grade on a test in two different classes. In which class did you do better? Why do we
More informationSafety Assessment of Installing Traffic Signals at High-Speed Expressway Intersections
Safety Assessment of Installing Traffic Signals at High-Speed Expressway Intersections Todd Knox Center for Transportation Research and Education Iowa State University 2901 South Loop Drive, Suite 3100
More informationCHAPTER 1 ORGANIZATION OF DATA SETS
CHAPTER 1 ORGANIZATION OF DATA SETS When you collect data, it comes to you in more or less a random fashion and unorganized. For example, what if you gave a 35 item test to a class of 50 students and collect
More informationBivariate Data. Frequency Table Line Plot Box and Whisker Plot
U04 D02 Univariate Data Frequency Table Line Plot Box and Whisker Plot Univariate Data Bivariate Data involving a single variable does not deal with causes or relationships the major purpose of univariate
More informationStats 2002: Probabilities for Wins and Losses of Online Gambling
Abstract: Jennifer Mateja Andrea Scisinger Lindsay Lacher Stats 2002: Probabilities for Wins and Losses of Online Gambling The objective of this experiment is to determine whether online gambling is a
More information5.1. Data Displays Batter Up. My Notes ACTIVITY
SUGGESTED LEARNING STRATEGIES: Activating Prior Knowledge, Marking the Text, Group Presentation, Interactive Word Wall Henry Hank Aaron and Harmon Killebrew are among the alltime leaders in home runs in
More informationDATA SCIENCE SUMMER UNI VIENNA
Prerequisites - You have installed Tableau Desktop on your computer. Available here: http://www.tableau.com/academic/students - You have downloaded the data (athlete_events.csv) available here: https://www.kaggle.com/heesoo37/120-years-of-olympic-historyathletes-and-results
More informationThe Red & Blue Nation
The Red & Blue Nation & 4 election outcomes Partisanship Ideology Dem. & Rep. States: & 4 8 Outcome Source: Dave Leip s Atlas of U.S. Presidential Elections http://www.uselectionatlas.org/results/ Partisanship
More informationCh. 8 Review - Analyzing Data and Graphs
How to find the Median Value It's the middle number in a sorted list. To find the Median, place the numbers you are given in value order and find the middle number. Look at these numbers: 3, 13, 7, 5,
More informationBackground Information. Project Instructions. Problem Statement. EXAM REVIEW PROJECT Microsoft Excel Review Baseball Hall of Fame Problem
Background Information Every year, the National Baseball Hall of Fame conducts an election to select new inductees from candidates nationally recognized for their talent or association with the sport of
More information2013 Grade 6 Mathematics Set B
2013 Grade 6 Mathematics Set B Copyright National Institute for Educational Policy Reserch All Right Reserved URL: https://www.nier.go.jp/english/index.html The English translation is prepared by the Project
More informationGraphing Activities This lab was created by Mr. Buckley from Edward Knox High School. Credit is given for this original activity to Mr. Buckley.
Name: Date Completed: Class: Teacher: Graphing Activities This lab was created by Mr. Buckley from Edward Knox High School. Credit is given for this original activity to Mr. Buckley. Introduction Graphing
More informationFOR RELEASE: WEDNESDAY, SEPTEMBER 11 AT 4 PM
Interviews with 1,022 adult Americans conducted by telephone by ORC International on September 6-8, 2013. The margin of sampling error for results based on the total sample is plus or minus 3 percentage
More informationStatistical Analysis Project - How do you decide Who s the Best?
Statistical Analysis Project - How do you decide Who s the Best? In order to choose the best shot put thrower to go to IASAS, the three candidates were asked to throw the shot put for a total of times
More informationPractice Test Unit 06B 11A: Probability, Permutations and Combinations. Practice Test Unit 11B: Data Analysis
Note to CCSD HS Pre-Algebra Teachers: 3 rd quarter benchmarks begin with the last 2 sections of Chapter 6 (probability, which we will refer to as 6B), and then address Chapter 11 benchmarks (which will
More informationThe 2018 FIU Cuba Poll: How Cuban-Americans in Miami View U.S. Policies toward Cuba
The 2018 FIU Cuba Poll: How Cuban-Americans in Miami View U.S. Policies toward Cuba The 2018 Cuba Poll Telephone surveys (cell phone and landline) of 1,001 randomly selected Cuban-American residents of
More informationYou are to develop a program that takes as input the scorecard filled out by Bob and that produces as output the correct scorecard.
Problem 1: What s My Score? Ann, Bob, Carol, and Dave played nine holes of golf together. On the first hole, Ann teed off first, followed by Bob, then Carol, and, finally, Dave. At each subsequent hole,
More informationEnergy of a Rolling Ball
Skills Practice Lab DATASHEET A Energy of a Rolling Ball Raised objects have gravitational potential energy (PE). Moving objects have kinetic energy (KE). In this lab, you will find out how these two kinds
More informationName. TAKS Practice Test GO ON
TKS Practice Test 1 Which of the choices is the base plan for the 3- figure shown? 2 The length of a picture frame is 2.5 times the width. Which equation expresses the relationship between the length l
More informationCIRCLE The Center for Information & Research on Civic Learning & Engagement. Civic Engagement Among Minority Youth
FACT SHEET CIRCLE The Center for Information & Research on Civic Learning & Engagement Civic Engagement Among Minority Youth By Mark Hugo Lopez, Research Director 1 September 2002 There are many ways to
More informationUnit 6, Lesson 1: Organizing Data
Unit 6, Lesson 1: Organizing Data 1. Here is data on the number of cases of whooping cough from 1939 to 1955. a. Make a new table that orders the data by year. year number of cases 1941 222,202 1950 120,718
More informationSum Fun Tournament Meeting (Multiple Topics)
Sum Fun Sum Fun Tournament Meeting (Multiple Topics) Sum Fun Topic There are a wide range of topics and difficulty levels covered during this meeting. Materials Needed The first four items listed below
More informationGALLUP NEWS SERVICE 2018 MIDTERM ELECTION
GALLUP NEWS SERVICE 2018 MIDTERM ELECTION Results are based on telephone interviews with a random sample of 1,508 -- national adults, aged 18+, living in all 50 states and the District of Columbia, conducted
More informationFun with M&M s. By: Cassandra Gucciardo. Sorting
Fun with M&M s Sorting Fractions Objectives: The students will be able to review the measures of central tendency by determining mean, median, mode and range. They will review their understanding of estimation,
More informationWildlife Ad Awareness & Attitudes Survey 2015
Wildlife Ad Awareness & Attitudes Survey 2015 Contents Executive Summary 3 Key Findings: 2015 Survey 8 Comparison between 2014 and 2015 Findings 27 Methodology Appendix 41 2 Executive Summary and Key Observations
More informationEMBARGOED FOR RELEASE: Sunday, October 14 at 9:00 a.m.
The study was conducted for CNN via telephone by SSRS, an independent research company. Interviews were conducted from October 04, 2018 to October 07, 2018 among a sample of 1,009 respondents. The landline
More informationEEC 686/785 Modeling & Performance Evaluation of Computer Systems. Lecture 6. Wenbing Zhao. Department of Electrical and Computer Engineering
EEC 686/785 Modeling & Performance Evaluation of Computer Systems Lecture 6 Department of Electrical and Computer Engineering Cleveland State University wenbing@ieee.org Outline 2 Review of lecture 5 The
More informationQuantitative Literacy: Thinking Between the Lines
Quantitative Literacy: Thinking Between the Lines Crauder, Noell, Evans, Johnson Chapter 6: Statistics 2013 W. H. Freeman and Company 1 Chapter 6: Statistics Lesson Plan Data summary and presentation:
More informationOutline. Terminology. EEC 686/785 Modeling & Performance Evaluation of Computer Systems. Lecture 6. Steps in Capacity Planning and Management
EEC 686/785 Modeling & Performance Evaluation of Computer Systems Lecture 6 Department of Electrical and Computer Engineering Cleveland State University wenbing@ieee.org Outline Review of lecture 5 The
More informationPrincipal factors contributing to heavy haul freight train safety improvements in North America: a quantitative analysis
Principal factors contributing to heavy haul freight train safety improvements in North America: a quantitative analysis B. Wang & C. Barkan University of Illinois At Urbana-Champaign, Urbana Illinois,
More informationReality Math Dot Sulock, University of North Carolina at Asheville
Reality Math Dot Sulock, University of North Carolina at Asheville Firearm Deaths 1. Making an Excel Pie Graph Firearm Deaths in US 2000 2011 suicides 16,586 19,766 homicides 10,801 11,101 unintentional
More informationMarch 7-11, N= 1,362 Republican N= 698
POLL March 7-11, 2007 N= 1,362 Republican N= 698 All trends are from New York Times/CBS News polls unless otherwise noted. An asterisk indicates registered respondents only. REP refers to self-identified
More information8-1. The Pythagorean Theorem and Its Converse. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary
8-1 The Pythagorean Theorem and Its Converse Vocabulary Review 1. Write the square and the positive square root of each number. Number 9 Square Positive Square Root 1 4 1 16 Vocabulary Builder leg (noun)
More informationCollect marine debris around the coral reef areas surrounding Ao Nang and Phi Phi National Park.
Dive Against Debris Survey PROJECTS ABROAD THAILAND By: Diego Fernandez Raboso. Field Coordinator 1. Introduction 2. Study area 3. Methodology 4. Results 5. Conclusions 1.Introduction The aims of the Dive
More informationAP Statistics Midterm Exam 2 hours
AP Statistics Midterm Exam 2 hours Name Directions: Work on these sheets only. Read each question carefully and answer completely but concisely (point values are from 1 to 3 points so no written answer
More information3. EXCEL FORMULAS & TABLES
Fall 2017 CS130 - Excel Formulas & Tables 1 3. EXCEL FORMULAS & TABLES Fall 2017 Fall 2017 CS130 - Excel Formulas & Tables 2 Cell References Absolute reference - refer to cells by their fixed position.
More informationUnit 7. Math Problem 1. This segment will go through the endpoint of the original line segment, perpendicular to the line segment.
Math 1007 Unit 7 1 Construct a square with sides equal to r. 1: Extend the segment and draw a circle centered at one of the endpoints of the segment 2: Draw two larger congruent circles centered where
More informationThe Effect of Newspaper Entry and Exit on Electoral Politics Matthew Gentzkow, Jesse M. Shapiro, and Michael Sinkinson Web Appendix
The Effect of Newspaper Entry and Exit on Electoral Politics Matthew Gentzkow, Jesse M. Shapiro, and Michael Sinkinson Web Appendix 1 1 Sources of Voting Data Our primary source for county-level voting
More informationLab 5: Descriptive Statistics
Page 1 Technical Math II Lab 5: Descriptive Stats Lab 5: Descriptive Statistics Purpose: To gain experience in the descriptive statistical analysis of a large (173 scores) data set. You should do most
More informationSection 5 Critiquing Data Presentation - Teachers Notes
Topics from GCE AS and A Level Mathematics covered in Sections 5: Interpret histograms and other diagrams for single-variable data Select or critique data presentation techniques in the context of a statistical
More informationEMBARGOED FOR RELEASE: Monday October 1 at 4:00 p.m.
The study was conducted for CNN via telephone by SSRS, an independent research company. Interviews were conducted from September 25, 2018 to September 29, 2018 among a sample of 1,003 respondents who live
More informationFoundations of Data Science. Spring Midterm INSTRUCTIONS. You have 45 minutes to complete the exam.
Data 8 Spring 2016 Foundations of Data Science Midterm INSTRUCTIONS You have 45 minutes to complete the exam. The exam is closed book, closed notes, closed computer, closed calculator, except one hand-written
More informationPractice Test Unit 6B/11A/11B: Probability and Logic
Note to CCSD Pre-Algebra Teachers: 3 rd quarter benchmarks begin with the last 2 sections of Chapter 6, and then address Chapter 11 benchmarks; logic concepts are also included. We have combined probability
More information4-3 Rate of Change and Slope. Warm Up. 1. Find the x- and y-intercepts of 2x 5y = 20. Describe the correlation shown by the scatter plot. 2.
Warm Up 1. Find the x- and y-intercepts of 2x 5y = 20. Describe the correlation shown by the scatter plot. 2. Objectives Find rates of change and slopes. Relate a constant rate of change to the slope of
More informationMore Interest in GOP Platform than Romney s Speech
MONDAY, AUGUST 27, 2012 More Interest in GOP Platform than Romney s Speech FOR FURTHER INFORMATION CONTACT: Andrew Kohut President, Pew Research Center Carroll Doherty and Michael Dimock Associate Directors
More informationConfidence Interval Notes Calculating Confidence Intervals
Confidence Interval Notes Calculating Confidence Intervals Calculating One-Population Mean Confidence Intervals for Quantitative Data It is always best to use a computer program to make these calculations,
More informationLouis M. Edwards Mathematics Super Bowl Valencia Community College -- April 19, 2002
Practice Round 1. At Wakeel s Pizza Emporium, large pizzas (14 diameter round) cost $9.99, extra large pizzas (16 diameter round) cost $13.99 and super large pizzas (18 diameter round) cost $16.99. What
More informationShedding Light on Motion Episode 4: Graphing Motion
Shedding Light on Motion Episode 4: Graphing Motion In a 100-metre sprint, when do athletes reach their highest speed? When do they accelerate at the highest rate and at what point, if any, do they stop
More informationTrue class interval. frequency total. frequency
20 1 16 14 12 10 6 4 2 0 frequency 44.5 54.5 64.5 74.5 4.5 94.5 104.5 49.5 59.5 69.5 79.5 9.5 99.5 True class interval True class interval 49.5-59.5 59.5-69.5 69.5-79.5 79.5-9.5 9.5-99.5 total frequency
More information1ACE Exercise 4. Name Date Class
1ACE Exercise 4 Investigation 1 4. A farm wants to add a small rectangular petting zoo for the public. They have a fixed amount of fencing to use for the zoo. This graph shows the lengths and areas of
More informationMark Scheme (Results) Summer 2009
Mark Scheme (Results) Summer 2009 GCSE GCSE Mathematics (Linear) - 1380 Paper: 1380_2F 2 NOTES ON MARKING PRINCIPLES 1 Types of mark M marks: method marks A marks: accuracy marks B marks: unconditional
More informationSTANDARD SCORES AND THE NORMAL DISTRIBUTION
STANDARD SCORES AND THE NORMAL DISTRIBUTION REVIEW 1.MEASURES OF CENTRAL TENDENCY A.MEAN B.MEDIAN C.MODE 2.MEASURES OF DISPERSIONS OR VARIABILITY A.RANGE B.DEVIATION FROM THE MEAN C.VARIANCE D.STANDARD
More informationA Simple Visualization Tool for NBA Statistics
A Simple Visualization Tool for NBA Statistics Kush Nijhawan, Ian Proulx, and John Reyna Figure 1: How four teams compare to league average from 1996 to 2016 in effective field goal percentage. Introduction
More informationLook again at the election of the student council president used in the previous activities.
Activity III: Pairwise Comparisons (Grades 8-11) NCTM Standards: Number and Operation Data Analysis, Statistics, and Probability Problem Solving Reasoning and Proof Communication Connections Representation
More informationThree Strikes Analysis:
Three Strikes Analysis: Demogr aphic Char acteristics of Strike Offenders Jessica Jin 16 Francesca Hidalgo-Wohlleben 17 with assistance from: Shaneli Jain 18 Shivani Pandya 18 Jennifer Walsh, PhD, Project
More informationPowered Lawn Mower Market in United Kingdom to Market Size, Development, and Forecasts
Powered Lawn Mower Market in United Kingdom to 2019 - Market Size, Development, and Forecasts Published: 5/2015 Global Research & Data Services Table of Contents List of Tables Table 1 Demand for powered
More information9.3 Histograms and Box Plots
Name Class Date 9.3 Histograms and Box Plots Essential Question: How can you interpret and compare data sets using data displays? Explore Understanding Histograms Resource Locker A histogram is a bar graph
More informationFigure 39. Yearly Trend in Death Rates for Drowning: NSW, Year
10.0 DROWNING 10.1 Deaths due to Drowning: The drowning death rate showed a statistically significant decrease between 199 and 1999 (Figure 39). Between 199 and 1999, 46 people died from drowning, at a
More informationSee if you can determine what the following magnified photos are. Number your paper to 5.
Challenge 7 See if you can determine what the following magnified photos are. Number your paper to 5. The Answers: EXPERIMENTAL DESIGN Science answers questions with experiments DEFINE THE PROBLEM Begin
More informationPRIMARY AND GENERAL ELECTION CAMPAIGNS IN THE UNITED STATES. November 5, 2012 Hans Noel Georgetown University
PRIMARY AND GENERAL ELECTION CAMPAIGNS IN THE UNITED STATES November 5, 2012 Hans Noel Georgetown University PRIMARY AND GENERAL ELECTION CAMPAIGNS IN THE UNITED STATES NOMINATIONS Origins of U.S. Primaries
More informationChapter 4 Displaying Quantitative Data
Chapter Displaying Quantitative Data 17 Chapter Displaying Quantitative Data 1. Statistics in print. Answers will vary. 2. Not a histogram. Answers will vary. 3. In the news. Answers will vary.. In the
More information8-1. The Pythagorean Theorem and Its Converse. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary
8-1 he Pythagorean heorem and Its Converse Vocabulary Review 1. Write the square and the positive square root of each number. Number Square Positive Square Root 9 81 3 1 4 1 16 1 2 Vocabulary Builder leg
More information2013 Excellence in Mathematics Contest Team Project Level I (Precalculus and above) School Name: Group Members:
013 Excellence in Mathematics Contest Team Project Level I (Precalculus and above) School Name: Group Members: Reference Sheet Formulas and Facts You may need to use some of the following formulas and
More informationSTAT 115 : INTRO TO EXPERIMENTAL DESIGN. Science answers questions with experiments
STAT 115 : INTRO TO EXPERIMENTAL DESIGN Science answers questions with experiments 1 DEFINE THE PROBLEM Begin by asking a question about your topic What is a good question for an experiment? One that is
More informationSCIENTIFIC COMMITTEE SEVENTH REGULAR SESSION August 2011 Pohnpei, Federated States of Micronesia
SCIENTIFIC COMMITTEE SEVENTH REGULAR SESSION 9-17 August 2011 Pohnpei, Federated States of Micronesia CPUE of skipjack for the Japanese offshore pole and line using GPS and catch data WCPFC-SC7-2011/SA-WP-09
More informationCatapult Project. Even though we will be wearing safety glasses, the catapult must not have any sharp edges that could injure yourself or others.
Catapult Project Objective. Design and build a catapult capable of launching a large metal projectile ( a nut about the size of 5 nickels) more than 12 ft and up to 32 feet away in order to accurately
More informationEnergy Skate Park. Part 1-Designing a Skate Park
Energy Skate Park Learning Goals: Predict the kinetic and potential energy of objects. Design a skate park Examine how kinetic and potential energy interact with each other. Open the PhET simulation Energy
More informationCONTENTS III CUMULATIVE REVIEW Copyright by Phoenix Learning Resources. Inc. All Rights Reserved.
CONTENTS Chapter 1 WHOLE NUMBERS Pretest.............................. 1 Adding Whole Numbers.................. 2 Subtracting Whole Numbers.............. 4 Adding and Subtracting Whole Numbers..... 7 Using
More informationDescriptive Statistics Project Is there a home field advantage in major league baseball?
Descriptive Statistics Project Is there a home field advantage in major league baseball? DUE at the start of class on date posted on website (in the first 5 minutes of class) There may be other due dates
More informationGonzales Research & Marketing Strategies
Gonzales Research & Marketing Strategies www.garesearch.com Conducted for: Humane Society of the United States October 2007 Contact: Patrick Gonzales 410-974-4669 Methodology Patrick E. Gonzales graduated
More information4According to professional regulations, a baseball bat
Mixed Numbers MODELING IMPROPER FRACTIONS In Power Players on page 4, you practiced dividing mixed numbers by converting them into improper fractions (fractions in which the numerator is greater than the
More informationDiameter in cm. Bubble Number. Bubble Number Diameter in cm
Bubble lab Data Sheet Blow bubbles and measure the diameter to the nearest whole centimeter. Record in the tables below. Try to blow different sized bubbles. Name: Bubble Number Diameter in cm Bubble Number
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level *9399919087* STATISTICS 4040/12 Paper 1 October/November 2015 Candidates answer on the Question Paper. Additional Materials: Pair of compasses
More informationLesson 1: Decimal Place Value. Concept/Topic to Teach: Students use Bruins statistical data to order and compare decimals to the thousandths.
Math Lesson 1: Decimal Place Value Concept/Topic to Teach: Students use Bruins statistical data to order and compare decimals to the thousandths. Standards Addressed: Standard 1: 5.NBT.3 Read, write, and
More informationUAB MATH-BY-MAIL CONTEST, 2004
UAB MATH-BY-MAIL CONTEST, 2004 ELIGIBILITY. Math-by-Mail competition is an individual contest run by the UAB Department of Mathematics and designed to test logical thinking and depth of understanding of
More informationGCSE 4353/01 MATHEMATICS (UNITISED SCHEME) UNIT 3: Calculator-Allowed Mathematics FOUNDATION TIER
Surname Centre Number Candidate Number Other Names 0 GCSE 4353/01 MATHEMATICS (UNITISED SCHEME) UNIT 3: Calculator-Allowed Mathematics FOUNDATION TIER A.M. MONDAY, 10 November 2014 A14-4353-01 1 hour 30
More information