Analyzing Categorical Data & Displaying Quantitative Data Section 1.1 & 1.2

Size: px
Start display at page:

Download "Analyzing Categorical Data & Displaying Quantitative Data Section 1.1 & 1.2"

Transcription

1 Analyzing Categorical Data & Displaying Quantitative Data Section 1.1 & 1.2 Reference Text: The Practice of Statistics, Fourth Edition. Starnes, Yates, Moore

2 Starter Problem Antoinette plays a lot of golf. This summer she got a new driver and kept track of how far she hit her tee shots in several rounds. Look at these data (drive lengths in yards) and then write a few sentences that describe the lengths of her drives:

3 Today s Objectives Analyze pie charts and bar graphs Two way tables: Marginal Distribution Conditional Distribution A Titanic Disaster Analyze Dot Plots Describe CUSS your new best friend Stem and Leaf Plots: single, and back to back Histograms California Standard 14.0 Students organize and describe distributions of data by using a number of different methods, including frequency tables, histograms, standard line graphs and bar graphs, stem-and-leaf displays, scatterplots, and box-and-whisker plots.

4 Types of Variables Categorical variables record which group or category an individual belongs to. What color is your hair? What year are you in school? What city do you live in? Did the tee shot land in the fairway? It does NOT make sense to average the results. Quantitative variables take on numeric values. How tall is a person? What score did a person get on the SAT? How many desks are in a room? How long was the tee shot? It DOES make sense to average the results.

5 Visual Representation of Categorical Variables Categorical variables are typically represented by pie charts (for percents) or bar charts (percents or counts). Married? Count (M) Percent Single Married Widowed Divorced S M W D Millions Single Married Widowed Divorced

6 Dilbert comics Use a pie chart only when you want to emphasize each category s relation to the whole. Pie charts are awkward to make by hand, but technology will do the job for you.

7 What Makes a Good Bar Graph? Good All bars have the same width X & Y axis labeled Units Title of Graph Bad Bars have different widths Pictures replacing the bars No labels Turn to Pg 11 in Text

8 Two Way Tables Marginal Distribution The marginal distribution of one of the categorical variables in a two way table of counts is the distribution of values of that variable among all individuals described by the table For example: data that has both Male and Female data, marginal dist. would be just looking at males compared to EVERYONE Example: Pg 12

9 Two Way Tables Conditional Distribution A conditional distribution of a variable describes the values of that variable among individuals who have specific value of another variable. There is a separate conditional dist. For each value of the other variable. For Example: Male & Females, just looking at the females and comparing the females amongst the different categories. Example pg 14

10 A Titanic Disaster: Activity Please turn to page 19 in your text book What to do: 1) What is the percent of people who survived? Is this a marginal or conditional, write a complete sentence! 2) Given the passenger survived, what are the percentages for each class? Is this a marginal or conditional, write a complete sentence! 3) Of those who died in first class, what percent of them were males? Females?

11 Break! -5 Minutes

12 Section 1.2: Quantitative Data w/ Graphs Dotplots CUSS Histograms Stemplots

13 Types of Variables Categorical variables record which group or category an individual belongs to. What color is your hair? What year are you in school? What city do you live in? Did the tee shot land in the fairway? It does NOT make sense to average the results. Quantitative variables take on numeric values. How tall is a person? What score did a person get on the SAT? How many desks are in a room? How long was the tee shot? It DOES make sense to average the results.

14 Visual representation of Quantitative Variables: Dotplots The most basic method is a dotplot. Every data point can be seen on the plot. Construction method: Draw a horizontal axis with a scale that covers the full range of values for the variable. Put a dot on (or above) the axis for each data point. If data duplicate, stack them vertically. Construct a dotplot now of Antoinette s drives:

15 Dotplot of Drive Data Collection 1 Dot Plot Based on the dotplot, estimate the center. We see it around 230 or 240 yards. Estimate the spread. Roughly from 190 to almost 280, so spread is about 90 yards. Describe the shape CalDrives It appears mound-shaped with most of the data clustered at the center and with tails at each end.

16 C: Center Median, where is it? C.U.S.S Mean can also describe the center, but is not resistant U: Unusual data points S: Spread S: Shape Outliers! Are there any? We can calculate them later in 1.3 Describe the variability of the graph (largest value smallest value) How many peaks? Is the data clumped in a general location? Is data stretching to the right (skewed right). Is the data stretching to the left (skewed left). LASTLY Always, ALWAYS C.U.S.S it out when describing graphs of data

17 Histograms Another important method is a histogram. Individual data points cannot be seen on the plot. Many data points are grouped together in vertical bars. Construction method: Draw a horizontal axis with a scale that covers the full range of values for the variable. Decide bar width (also called class width) so that 5 to 10 bars will cover the full range of data. Set borders for bars, count frequencies, draw bars. Use a vertical axis to show the bar height.

18 Histogram of Drive Data Collection 1 8 Histogram Count CalDrives From a visual examination, estimate the center, unusual points, spread and the shape. (CUSS) As before, you should see the center around 230 to 240, no unusual points, the spread looks like 90, and the shape still looks like a mound.

19 Stemplots AKA: Stem & Leaf Plots One way to organize numerical data is to make a stemplot. Lets turn to the board and walk through how to make a stemplotof the following data, found on pg

20 Stemplots check list Did we make a stemplot? Did we talk about splitting stems upper and lower bounds Did we talk about back to back stemplots? Good now we can move on

21 Percent of Population Over 65 by State Note: 4 9 = 4.9%

22 Today s Objectives Analyze pie charts and bar graphs Two way tables: Marginal Distribution Conditional Distribution A Titanic Disaster Analyze Dot Plots Describe CUSS your new best friend Stem and Leaf Plots: single, and back to back Histograms California Standard 14.0 Students organize and describe distributions of data by using a number of different methods, including frequency tables, histograms, standard line graphs and bar graphs, stem-and-leaf displays, scatterplots, and box-and-whisker plots.

23 Homework Review pages 8-42 in the text. The Practice of Statistics, Fourth Edition. Starnes, Yates, Moore TB PG 22: 9, 11, 14,15,18,20 TB PG 42: 37,45,49,59,62,69,70,72-74 Herring s Workbook PG 4&5 Use 8.5x11 binder paper Follow homework guidelines

Organizing Quantitative Data

Organizing 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 information

CHAPTER 2 Modeling Distributions of Data

CHAPTER 2 Modeling Distributions of Data CHAPTER 2 Modeling Distributions of Data 2.2 Density Curves and Normal Distributions The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers Density Curves

More information

STAT 155 Introductory Statistics. Lecture 2-2: Displaying Distributions with Graphs

STAT 155 Introductory Statistics. Lecture 2-2: Displaying Distributions with Graphs The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL STAT 155 Introductory Statistics Lecture 2-2: Displaying Distributions with Graphs 8/31/06 Lecture 2-2 1 Recall Data: Individuals Variables Categorical variables

More information

Chapter 4 Displaying Quantitative Data

Chapter 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 information

STAT 155 Introductory Statistics. Lecture 2: Displaying Distributions with Graphs

STAT 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 information

Chapter 2 - Frequency Distributions and Graphs

Chapter 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 information

Descriptive Stats. Review

Descriptive 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 information

Diameter in cm. Bubble Number. Bubble Number Diameter in cm

Diameter 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 information

Displaying Quantitative (Numerical) Data with Graphs

Displaying Quantitative (Numerical) Data with Graphs Displaying Quantitative (Numerical) Data with Graphs DOTPLOTS: One of the simplest graphs to construct and interpret is a dotplot. Each data value is shown as a dot above its location on a number line.

More information

CHAPTER 1 Exploring Data

CHAPTER 1 Exploring Data CHAPTER 1 Exploring Data 1.2 Displaying Quantitative Data with Graphs The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers Displaying Quantitative Data

More information

CHAPTER 2 Modeling Distributions of Data

CHAPTER 2 Modeling Distributions of Data CHAPTER 2 Modeling Distributions of Data 2.1 Describing Location in a Distribution The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers 2.1 Reading Quiz

More information

Unit 6 Day 2 Notes Central Tendency from a Histogram; Box Plots

Unit 6 Day 2 Notes Central Tendency from a Histogram; Box Plots AFM Unit 6 Day 2 Notes Central Tendency from a Histogram; Box Plots Name Date To find the mean, median and mode from a histogram, you first need to know how many data points were used. Use the frequency

More information

5.1. Data Displays Batter Up. My Notes ACTIVITY

5.1. 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 information

STT 315 Section /19/2014

STT 315 Section /19/2014 Name: PID: A STT 315 Section 101 05/19/2014 Quiz 1A 50 minutes 1. A survey by an electric company contains questions on the following: Age of household head, Gender of household head and use of electric

More information

Statistical Studies: Analyzing Data III.B Student Activity Sheet 6: Analyzing Graphical Displays

Statistical Studies: Analyzing Data III.B Student Activity Sheet 6: Analyzing Graphical Displays The Phoenix Mercury of the Women s National Basketball League had 14 players on the roster for the 2008 season. The players and their average points per game (PPG) are shown below. Player Diana Taurasi

More information

Statistical Studies: Analyzing Data III.B Student Activity Sheet 6: Analyzing Graphical Displays

Statistical Studies: Analyzing Data III.B Student Activity Sheet 6: Analyzing Graphical Displays The Phoenix Mercury of the Women s National Basketball League had 14 players on the roster for the 2008 season. The players and their average points per game (PPG) are shown below. Player Diana Taurasi

More information

Practice Test Unit 06B 11A: Probability, Permutations and Combinations. Practice Test Unit 11B: Data Analysis

Practice 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 information

CHAPTER 1 ORGANIZATION OF DATA SETS

CHAPTER 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 information

North Point - Advance Placement Statistics Summer Assignment

North Point - Advance Placement Statistics Summer Assignment North Point - Advance Placement Statistics This assignment is due during the first week of class. It is considered an exam grade, which that category is worth approximately 60% of your total grade. All

More information

Chapter 2: Modeling Distributions of Data

Chapter 2: Modeling Distributions of Data Chapter 2: Modeling Distributions of Data Section 2.1 The Practice of Statistics, 4 th edition - For AP* STARNES, YATES, MOORE Chapter 2 Modeling Distributions of Data 2.1 2.2 Normal Distributions Section

More information

Chapter 2 Displaying and Describing Categorical Data

Chapter 2 Displaying and Describing Categorical Data Chapter 2 Displaying and Describing Categorical Data Graphs for Categorical Variables Our concern will be two types of visual representations. Graphs for Categorical Variables Our concern will be two types

More information

Lesson 2.1 Frequency Tables and Graphs Notes Stats Page 1 of 5

Lesson 2.1 Frequency Tables and Graphs Notes Stats Page 1 of 5 Stats Page 1 of 5 Frequency Table: partitions data into classes or intervals and shows how many data values are in each class. The classes or intervals are constructed so that each data value falls exactly

More information

1. 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. 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 information

0-13 Representing Data

0-13 Representing Data 1. SURVEYS Alana surveyed several students to find the number of hours of sleep they typically get each night. The results are shown in the table. Make a bar graph of the data. Draw a histogram to represent

More information

Practice Test Unit 6B/11A/11B: Probability and Logic

Practice 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 information

Unit 3 - Data. Grab a new packet from the chrome book cart. Unit 3 Day 1 PLUS Box and Whisker Plots.notebook September 28, /28 9/29 9/30?

Unit 3 - Data. Grab a new packet from the chrome book cart. Unit 3 Day 1 PLUS Box and Whisker Plots.notebook September 28, /28 9/29 9/30? Unit 3 - Data Grab a new packet from the chrome book cart 9/28 9/29 9/30? 10/3 10/4 10/5 10/6 10/7-10/10 10/11 10/12 10/13 Practice ACT #1 Lesson 1: Box and Whisker Plots I can find the 5 number summary

More information

Quiz 1.1A AP Statistics Name:

Quiz 1.1A AP Statistics Name: Quiz 1.1A AP Statistics Name: 1. Below is some information about the tallest buildings in the world (completed by 2012). Building Country Height, m Floors Use Year built Burj Khalifa United Arab Emirates

More information

IHS AP Statistics Chapter 2 Modeling Distributions of Data MP1

IHS AP Statistics Chapter 2 Modeling Distributions of Data MP1 IHS AP Statistics Chapter 2 Modeling Distributions of Data MP1 Monday Tuesday Wednesday Thursday Friday August 22 A Day 23 B Day 24 A Day 25 B Day 26 A Day Ch1 Exploring Data Class Introduction Getting

More information

What s the difference between categorical and quantitative variables? Do we ever use numbers to describe the values of a categorical variable?

What s the difference between categorical and quantitative variables? Do we ever use numbers to describe the values of a categorical variable? Pg. 10 What s the difference between categorical and quantitative variables? Do we ever use numbers to describe the values of a categorical variable? When describing the distribution of a quantitative

More information

Warm-Up: Create a Boxplot.

Warm-Up: Create a Boxplot. Warm-Up: Create a Boxplot. 2 Warm - UP 1. 2. Find the mean. 3. Find the standard deviation for the set { 54, 59, 35, 41, 22} Warm - UP How many hours do you spend watching TV or surfing the net each

More information

Dotplots, Stemplots, and Time-Series Plots

Dotplots, Stemplots, and Time-Series Plots Math 167 Pre-Statistics Chapter 3 Graphical and Tabular Displays of Data Section 3 Dotplots, Stemplots, and Time-Series Plots Objectives 1 Identify discrete variables and continuous variables. 2. Construct

More information

Section 5 Critiquing Data Presentation - Teachers Notes

Section 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 information

Effective Use of Box Charts

Effective Use of Box Charts Effective Use of Box Charts Purpose This tool provides guidelines and tips on how to effectively use box charts to communicate research findings. Format This tool provides guidance on box charts and their

More information

Descriptive 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? 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 information

Lab 5: Descriptive Statistics

Lab 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 information

46 Chapter 8 Statistics: An Introduction

46 Chapter 8 Statistics: An Introduction 46 Chapter 8 Statistics: An Introduction Activity 5 Continued Box 4 1. The median is 6. The mode is 5. The mean is about 7 (6.8). 2. The median and the mode were unchanged, but the mean increased significantly.

More information

The pth percentile of a distribution is the value with p percent of the observations less than it.

The pth percentile of a distribution is the value with p percent of the observations less than it. Describing Location in a Distribution (2.1) Measuring Position: Percentiles One way to describe the location of a value in a distribution is to tell what percent of observations are less than it. De#inition:

More information

9.3 Histograms and Box Plots

9.3 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 information

Math 230 Exam 1 Name October 2, 2002

Math 230 Exam 1 Name October 2, 2002 Math 230 Exam 1 Name October 2, 2002 Instructions:Please read and answer each question carefully. When answering questions, use complete sentences. For full credit, make sure that your answers have statistical

More information

Bivariate Data. Frequency Table Line Plot Box and Whisker Plot

Bivariate 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 information

Algebra 1 Unit 6 Study Guide

Algebra 1 Unit 6 Study Guide Name: Period: Date: Use this data to answer questions #1. The grades for the last algebra test were: 12, 48, 55, 57, 60, 61, 65, 65, 68, 71, 74, 74, 74, 80, 81, 81, 87, 92, 93 1a. Find the 5 number summary

More information

CHAPTER 2 Modeling Distributions of Data

CHAPTER 2 Modeling Distributions of Data CHAPTER 2 Modeling Distributions of Data 2.1 Describing Location in a Distribution The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers Describing Location

More information

Scaled vs. Original Socre Mean = 77 Median = 77.1

Scaled vs. Original Socre Mean = 77 Median = 77.1 Have out... - notebook - colors - calculator (phone calc will work fine) Tests back as you come in! vocab example Tests Scaled vs. Original Socre Mean = 77 Median = 77.1 + Δ vocab example 1 2.1 Describing

More information

Math 146 Statistics for the Health Sciences Additional Exercises on Chapter 2

Math 146 Statistics for the Health Sciences Additional Exercises on Chapter 2 Math 146 Statistics for the Health Sciences Additional Exercises on Chapter 2 Student Name: Solve the problem. 1) Scott Tarnowski owns a pet grooming shop. His prices for grooming dogs are based on the

More information

Unit 3 ~ Data about us

Unit 3 ~ Data about us Unit 3 ~ Data about us Investigation 3: Data Sets & Displays I can construct, interpret, and compare data sets and displays. I can find, interpret, and compare measures of center and variation for data

More information

How are the values related to each other? Are there values that are General Education Statistics

How are the values related to each other? Are there values that are General Education Statistics How are the values related to each other? Are there values that are General Education Statistics far away from the others? Class Notes Measures of Position and Outliers: Z-scores, Percentiles, Quartiles,

More information

AP Statistics Midterm Exam 2 hours

AP 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 information

(c) The hospital decided to collect the data from the first 50 patients admitted on July 4, 2010.

(c) The hospital decided to collect the data from the first 50 patients admitted on July 4, 2010. Math 155, Test 1, 18 October 2011 Name: Instructions. This is a closed-book test. You may use a calculator (but not a cell phone). Make sure all cell-phones are put away and that the ringer is off. Show

More information

Age of Fans

Age 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 information

True class interval. frequency total. frequency

True 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 information

Solutionbank S1 Edexcel AS and A Level Modular Mathematics

Solutionbank S1 Edexcel AS and A Level Modular Mathematics Page 1 of 1 Exercise A, Question 1 A group of thirty college students was asked how many DVDs they had in their collection. The results are as follows. 12 25 34 17 12 18 29 34 45 6 15 9 25 23 29 22 20

More information

The Five Magic Numbers

The Five Magic Numbers The Five Magic Numbers Objective: Students will review the five numbers needed to construct a box and whisker plot. Students will also answer questions using a box and whisker plot they created. Background

More information

Statistics Class 3. Jan 30, 2012

Statistics Class 3. Jan 30, 2012 Statistics Class 3 Jan 30, 2012 Group Quiz 2 1. The Statistical Abstract of the United States includes the average per capita income for each of the 50 states. When those 50 values are added, then divided

More information

1wsSMAM 319 Some Examples of Graphical Display of Data

1wsSMAM 319 Some Examples of Graphical Display of Data 1wsSMAM 319 Some Examples of Graphical Display of Data 1. Lands End employs numerous persons to take phone orders. Computers on which orders are entered also automatically collect data on phone activity.

More information

3.3 - Measures of Position

3.3 - Measures of Position 3.3 - Measures of Position Z-Scores Who is taller, a man 73 inches tall or a woman 68 inches tall? The obvious answer is that the man is taller. However, men are taller than women on the average. Let s

More information

Warm-up. Make a bar graph to display these data. What additional information do you need to make a pie chart?

Warm-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 information

Year 10 Term 2 Homework

Year 10 Term 2 Homework Yimin Math Centre Year 10 Term 2 Homework Student Name: Grade: Date: Score: Table of contents 6 Year 10 Term 2 Week 6 Homework 1 6.1 Data analysis and evaluation............................... 1 6.1.1

More information

Stats 2002: Probabilities for Wins and Losses of Online Gambling

Stats 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 information

Statistical Analysis Project - How do you decide Who s the Best?

Statistical 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 information

STATISTICS ELEMENTARY MARIO F. TRIOLA. Descriptive Statistics EIGHTH EDITION

STATISTICS ELEMENTARY MARIO F. TRIOLA. Descriptive Statistics EIGHTH EDITION ELEMENTARY STATISTICS Chapter 2 Descriptive Statistics MARIO F. TRIOLA EIGHTH EDITION 1 2-1 Overview Chapter 2 Descriptive Statistics 2-2 Summarizing Data with Frequency Tables 2-3 Pictures of Data 2-4

More information

Background Information. Project Instructions. Problem Statement. EXAM REVIEW PROJECT Microsoft Excel Review Baseball Hall of Fame Problem

Background 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 information

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.

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. 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 information

Histogram. Collection

Histogram. Collection Density Curves and Normal Distributions Suppose we looked at an exam given to a large population of students. The histogram of this data appears like the graph to the left below. However, rather than show

More information

Lesson 3 Pre-Visit Teams & Players by the Numbers

Lesson 3 Pre-Visit Teams & Players by the Numbers Lesson 3 Pre-Visit Teams & Players by the Numbers Objective: Students will be able to: Review how to find the mean, median and mode of a data set. Calculate the standard deviation of a data set. Evaluate

More information

Box-and-Whisker Plots

Box-and-Whisker Plots Lesson 75 Objectives Calculate quartile values for a data set Create a box-and-whisker plot Quartiles and Box-and-Whisker Plots Richard recorded the number of people that attended his team s minor league

More information

Full file at

Full file at Chapter 2 1. Describe the distribution. survival times of persons diagnosed with terminal lymphoma A) approximately normal B) skewed left C) skewed right D) roughly uniform Ans: C Difficulty: low 2. Without

More information

4. Fortune magazine publishes the list of the world s billionaires annually. The 1992 list (Fortune,

4. Fortune magazine publishes the list of the world s billionaires annually. The 1992 list (Fortune, Class 2 1. For each of the following variables, indicate with Q or C whether it is a quantitative variable or a categorical variable. a. the color of a M&M candy b. the weight of an airplane c. the life

More information

The Math and Science of Bowling

The Math and Science of Bowling The Report (100 : The Math and Science of Bowling 1. For this project, you will need to collect some data at the bowling alley. You will be on a team with one other student. Each student will bowl a minimum

More information

box and whisker plot 3880C798CA037B A83B07E6C4 Box And Whisker Plot 1 / 6

box and whisker plot 3880C798CA037B A83B07E6C4 Box And Whisker Plot 1 / 6 Box And Whisker Plot 1 / 6 2 / 6 3 / 6 Box And Whisker Plot In descriptive statistics, a box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles.box plots

More information

How Fast Can You Throw?

How Fast Can You Throw? Name Date Period How Fast Can You Throw? Directions: Find a spot 40 feet from a wall and mark it with a piece of chalk. From that point, you will throw the ball 5 times with your right hand, and then five

More information

ACTIVITY: Drawing a Box-and-Whisker Plot. a. Order the data set and write it on a strip of grid paper with 24 equally spaced boxes.

ACTIVITY: Drawing a Box-and-Whisker Plot. a. Order the data set and write it on a strip of grid paper with 24 equally spaced boxes. 2. Box-and-Whisker Plots describe a data set? How can you use a box-and-whisker plot to ACTIVITY: Drawing a Box-and-Whisker Plot Work with a partner. The numbers of first cousins of the students in an

More information

Reminders. Homework scores will be up by tomorrow morning. Please me and the TAs with any grading questions by tomorrow at 5pm

Reminders. Homework scores will be up by tomorrow morning. Please  me and the TAs with any grading questions by tomorrow at 5pm Reminders Homework scores will be up by tomorrow morning Please email me and the TAs with any grading questions by tomorrow at 5pm 1 Chapter 12: Describing Distributions with Numbers Aaron Zimmerman STAT

More information

% per year Age (years)

% per year Age (years) Stat 1001 Winter 1998 Geyer Homework 2 Problem 3.1 66 inches and 72 inches. Problem 3.2 % per year 0.0 0.5 1.0 1.5 0 20 40 60 80 Age (years) (a) Age 1. (b) More 31-year olds (c) More people age 35{44,

More information

Quantitative Literacy: Thinking Between the Lines

Quantitative 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 information

DATA SCIENCE SUMMER UNI VIENNA

DATA 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 information

NYC Marathon Quarter 1 Review Task. The New York City Marathon was last weekend. Over 50,000 people ran 26.2 miles around the city!

NYC Marathon Quarter 1 Review Task. The New York City Marathon was last weekend. Over 50,000 people ran 26.2 miles around the city! NYC Marathon Quarter 1 Review Task Name: Alg: The New York City Marathon was last weekend. Over 50,000 people ran 26.2 miles around the city! 1. The 2015 male winner was Stanely Biwott, his time was 2

More information

Chapter 3 Displaying and Describing Categorical Data

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 information

In this assignment, students will analyze statistics from the U.S. Department of Transportation to determine the safest means of travel.

In this assignment, students will analyze statistics from the U.S. Department of Transportation to determine the safest means of travel. Background Information In the United States, we often are told that commercial airlines are statistically the safest mode of travel. Yet, many people do not believe this due to the fact that plane crashes

More information

Internet 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: 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 information

Homework Packet Week #16

Homework Packet Week #16 Name Chapter 6 Homework Packet Week #16 Write a system of equations to represent each problem situation. Solve the system of equations using the substitution method or linear combinations method. Then,

More information

Chapter 2: Visual Description of Data

Chapter 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 information

Exemplar for Internal Achievement Standard. Mathematics and Statistics Level 1

Exemplar for Internal Achievement Standard. Mathematics and Statistics Level 1 Exemplar for Internal Achievement Standard Mathematics and Statistics Level 1 This exemplar supports assessment against: Achievement Standard Investigate a given multivariate data set using the statistical

More information

SUMMER Math STEM 7th Grade Summer Math Packet

SUMMER Math STEM 7th Grade Summer Math Packet Name Date SUMMER Math STEM 7th Grade Summer Math Packet Simplify the expression. 3 7 1. 4(x + 3) 2. x 3. Use a formula to find the area of the figure. 4. Tickets to a basketball game cost $4 for adults

More information

Note that all proportions are between 0 and 1. at risk. How to construct a sentence describing a. proportion:

Note 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 information

Assessment Schedule 2016 Mathematics and Statistics: Demonstrate understanding of chance and data (91037)

Assessment Schedule 2016 Mathematics and Statistics: Demonstrate understanding of chance and data (91037) NCEA Level 1 Mathematics and Statistics (91037) 2016 page 1 of 8 Assessment Schedule 2016 Mathematics and Statistics: Demonstrate understanding of chance and data (91037) Evidence Statement One Expected

More information

STAT 101 Assignment 1

STAT 101 Assignment 1 STAT 1 Assignment 1 1. From the text: # 1.30 on page 29. A: For the centre the median is 2, the mean is 2.62. I am happy with either for an answer and I am happy to have these read off roughly by eye.

More information

Get in Shape 2. Analyzing Numerical Data Displays

Get in Shape 2. Analyzing Numerical Data Displays Get in Shape 2 Analyzing Numerical Data Displays WARM UP Mr. Garcia surveyed his class and asked them what types of pets they owned. Analyze the pictograph that shows the results of his survey: Pets Owned

More information

WorkSHEET 13.3 Univariate data II Name:

WorkSHEET 13.3 Univariate data II Name: WorkSHEET 13.3 Univariate data II Name: 1 The back-to-back stem-and-leaf plot shows the number of people (to the nearest thousand) that attend cricket matches in both Sydney and Melbourne during a season.

More information

AP Stats Chapter 2 Notes

AP Stats Chapter 2 Notes AP Stats Chapter 2 Notes 2.1 Measures of Relative Standing & Density Curves What is a percentile? On a test, is a student s percentile the same as the percent correct? Example: Test Scores Suppose the

More information

Math 1040 Exam 2 - Spring Instructor: Ruth Trygstad Time Limit: 90 minutes

Math 1040 Exam 2 - Spring Instructor: Ruth Trygstad Time Limit: 90 minutes Math 1040 Exam 2 - Spring 2012 Name Instructor: Ruth Trygstad Time Limit: 90 minutes Any calculator is okay, but no computers, cell phones or other hand-held devices are allowed. Tables and formulas are

More information

DO YOU KNOW WHO THE BEST BASEBALL HITTER OF ALL TIMES IS?...YOUR JOB IS TO FIND OUT.

DO YOU KNOW WHO THE BEST BASEBALL HITTER OF ALL TIMES IS?...YOUR JOB IS TO FIND OUT. Data Analysis & Probability Name: Date: Hour: DO YOU KNOW WHO THE BEST BASEBALL HITTER OF ALL TIMES IS?...YOUR JOB IS TO FIND OUT. This activity will find the greatest baseball hitter of all time. You

More information

! Problem Solving Students will use past Olympic statistics and mathematics to predict the most recent Olympic statistics.

! Problem Solving Students will use past Olympic statistics and mathematics to predict the most recent Olympic statistics. Title: Running Into Statistics Brief Overview: Since the 1996 Olympics took place close to home, they were a major topic of discussion all over the region. Students have traditionally been interested in

More information

Launch Reaction Time

Launch Reaction Time Launch Reaction Time Name: At the 2003 World Championships in Paris, American sprinter Jon Drummond was disqualified after a second false start in a 100-meter dash race. The reason Drummond and another

More information

1. Rewrite the following three numbers in order from smallest to largest. Give a brief explanation of how you decided the correct order.

1. Rewrite the following three numbers in order from smallest to largest. Give a brief explanation of how you decided the correct order. Note: This is NOT a practice exam. It is a collection of problems to help you review some of the material for the exam and to practice some kinds of problems. This collection is not necessarily exhaustive;

More information

First, we will take note of two histograms ("percent frequency histograms" more

First, we will take note of two histograms (percent frequency histograms more III. Understanding the Differences (if any) Results and Interpretations A. The Graphs First, we will take note of two histograms ("percent frequency histograms" more specifically) for the "Hall of Famers"

More information

PRACTICE PROBLEMS FOR EXAM 1

PRACTICE PROBLEMS FOR EXAM 1 ST 311 PRACTICE PROBLEMS FOR EXAM 1 Topics covered on Exam 1: Chapters 1-7 in text. Reiland This material is covered in webassign homework assignments 1 through 4 and worksheets 1-7. " Exam information:

More information

4.5 Scatter Plots and Trend Lines

4.5 Scatter Plots and Trend Lines Name: 1 Scatter Plot: 4.5 Scatter Plots and Trend Lines EXAMPLE 1: a. The data in the table shows a survey of 12 adults for their height (cm) and their wingspan (cm). Create a scatter plot of the data.

More information

Exploring Measures of Central Tendency (mean, median and mode) Exploring range as a measure of dispersion

Exploring Measures of Central Tendency (mean, median and mode) Exploring range as a measure of dispersion Unit 5 Statistical Reasoning 1 5.1 Exploring Data Goals: Exploring Measures of Central Tendency (mean, median and mode) Exploring range as a measure of dispersion Data: A set of values. A set of data can

More information

PATTERNS & FUNCTIONS

PATTERNS & FUNCTIONS PATTERNS & FUNCTIONS University of Houston Central Campus September 23, 2006 1 Warm-up Activity Test your knowledge by answering the following questions. No calculations or finger counting allowed. Good

More information

Unit 6, Lesson 1: Organizing Data

Unit 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 information