Homework Packet Week #3

Size: px
Start display at page:

Download "Homework Packet Week #3"

Transcription

1 Lesson 8.1 Choose the term that best completes statements # A data distribution is if the peak of the data is in the middle of the graph. The left and right sides of the graph are nearly mirror images of each other. dot plot five number summary data distribution symmetric discrete data skewed left histogram skewed right frequency box-and-whisker plot bin continuous 1. A(n) is a graphical way to display quantitative data using vertical bars. 2. A data distribution is if the peak of the data is to the left side of the graph with only a few data points to the right side of the graph. 3. are data that have only a finite number of values or data that can be counted. 11. The number of data values included in a given bin of a data set is called. 12. The bar width in a histogram that represents an interval of data is often referred to as a. Construct the graphical display for each given data set. Describe the distribution of the data. 13. Construct a dot plot to display the number of items purchased by a number of randomly chosen customers at a toy store. The data are 2, 4, 3, 7, 12, 3, 1, 5, 6, 3, 4, 2, 4, 3, 7, 14, 10, 3, 5, and A(n) displays the data distribution based on a five number summary. 5. The overall shape of a graph which shows the way in which data are spread out or clustered together is called the. 6. are data which can take any numerical value within a range. 7. A data distribution is if the peak of the data is to the right side of the graph with only a few data points to the left side of the graph. 14. Construct a box-and-whisker plot to display the number of pets owned by a number of randomly chosen students. The data are 2, 0, 5, 1, 2, 1, 0, 8, 4, 3, 9, 1, 2, 3, and A(n) is a graph that shows how discrete data are distributed using a number line. 9. For a set of data, the consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

2 15. Construct a box-and-whisker plot to display the scores on a recent science test. The data are 90, 95, 100, 70, 85, 65, 90, 80, 65, 70, 75, 80, 85, 80, 60, 80, 75, and Construct a histogram to display the scores on a recent English quiz. The data are 18, 45, 20, 32, 9, 35, 49, 28, 25, 19, 5, 30, 22, 24, and 14. Use as the first interval. 16. Construct a histogram to display the circumferences of the pumpkins in the Jeffiers family pumpkin crop. The data are 22.1, 35.6, 15.8, 36.9, 40.0, 28.5, 38.4, 20.4, 25.8, 34.1, 39.9, 42.2, 24.3, 22.7, 19.8, 27.9, 22.2, 34.3, 40.4, 20.6, 38.2, and Use as the first interval. Analyze the given dot plot which displays the number of home runs by each of the girls on the softball team this season. Use the dot plot to answer each question. Softball Team Home Runs 18. How many players hit more than 1 and fewer than 9 home runs? 19. How many players scored more than 12 home runs?

3 Analyze the given box-and-whisker plot which displays the heights of 40 randomly chosen adults. Use the box-and-whisker plot to answer each question. Heights of 40 Randomly Chosen Adults 23. How many students are represented by the histogram? 24. Describe the distribution of the data in the histogram and explain what it means in terms of the problem situation. 25. How many of the students had an ACT composite score of exactly 25? 20. What is the height range of the middle 50 percent of the surveyed adults? 21. How many of the surveyed adults are exactly 68 inches tall? 22. What percent of the surveyed adults are 68 inches tall or shorter? Lesson 8.2 Create a dot plot of each given data set. Calculate the mean and median. Determine which measure of center best describes each data set. 26. The data are 1, 3, 2, 0, 7, 2, 1, 10, 1, 12, 1, 2, 0, 3, and 4. Analyze the given histogram which displays the ACT composite score of several randomly chosen students. Use the histogram to answer each question. ACT Composite Scores 27. The data are 7, 2, 9, 9, 10, 12, 17, 10, 6, 11, 9, 10, 8, 11, and 8.

4 28. The data are 4, 0, 13, 15, 14, 10, 13, 8, 13, 12, 11, 13, 14, 1, 15, 13, 14, 12, 10, and Determine which measure of center best describes the data in each given data display. Then determine the mean and median, if possible. If it is not possible, explain why not. Average Annual Snowfall in Select U.S. Cities Lesson 8.3 Match each definition to its corresponding term. a. A value calculated using the formula. b. A value calculated by subtracting Q1 from Q3. c. A value calculated using the formula. d. A data value that is significantly greater than or less than the other values in a data set. 32. interquartile range (IQR) 33. outlier 34. lower fence 35. upper fence

5 Calculate the IQR of each given data set. Determine whether there are any outliers in each set and list them. (#36-41) The data are 4, 4, 5, 5, 8, 9, 10, 10, 12, 12, 16, 20, and The data are 0, 3, 10, 16, 16, 18, 20, 21, 22, 24, 25, 25, 27, 30, 35, and The data are 9, 15, 26, 30, 32, 32, 35, 36, 38, 40, 40, 45, and 59.

6 Pe- Name _ riod _

Transform both equations in each system of equations so that each coefficient is an integer.

Transform both equations in each system of equations so that each coefficient is an integer. Algebra 1 (2nd Semester Exam Review) Name 1. Write each expression in rational exponent form. a. b. 2. Write each expression in radical form. a. b. What is the simplified form of each expression? 3. 4.

More information

12. A(n) is the number of times an item or number occurs in a data set.

12. A(n) is the number of times an item or number occurs in a data set. Chapter 15 Vocabulary Practice Match each definition to its corresponding term. a. data b. statistical question c. population d. sample e. data analysis f. parameter g. statistic h. survey i. experiment

More information

Math 167 Pre-Statistics. Chapter 4 Summarizing Data Numerically Section 3 Boxplots

Math 167 Pre-Statistics. Chapter 4 Summarizing Data Numerically Section 3 Boxplots Math 167 Pre-Statistics Chapter 4 Summarizing Data Numerically Section 3 Boxplots Objectives 1. Find quartiles of some data. 2. Find the interquartile range of some data. 3. Construct a boxplot to describe

More information

Chapter 3 - Displaying and Summarizing Quantitative Data

Chapter 3 - Displaying and Summarizing Quantitative Data Chapter 3 - Displaying and Summarizing Quantitative Data 3.1 Graphs for Quantitative Data (LABEL GRAPHS) August 25, 2014 Histogram (p. 44) - Graph that uses bars to represent different frequencies or relative

More information

MATH& 146 Lesson 10. Section 1.6 Graphing Numerical Data

MATH& 146 Lesson 10. Section 1.6 Graphing Numerical Data MATH& 146 Lesson 10 Section 1.6 Graphing Numerical Data 1 Graphs of Numerical Data One major reason for constructing a graph of numerical data is to display its distribution, or the pattern of variability

More information

Learning Log Title: CHAPTER 7: PROPORTIONS AND PERCENTS. Date: Lesson: Chapter 7: Proportions and Percents

Learning Log Title: CHAPTER 7: PROPORTIONS AND PERCENTS. Date: Lesson: Chapter 7: Proportions and Percents Chapter 7: Proportions and Percents CHAPTER 7: PROPORTIONS AND PERCENTS Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 7: Proportions and Percents Date: Lesson: Learning Log

More information

No. of blue jelly beans No. of bags

No. of blue jelly beans No. of bags Math 167 Ch5 Review 1 (c) Janice Epstein CHAPTER 5 EXPLORING DATA DISTRIBUTIONS A sample of jelly bean bags is chosen and the number of blue jelly beans in each bag is counted. The results are shown in

More information

Prepare a stem-and-leaf graph for the following data. In your final display, you should arrange the leaves for each stem in increasing order.

Prepare a stem-and-leaf graph for the following data. In your final display, you should arrange the leaves for each stem in increasing order. Chapter 2 2.1 Descriptive Statistics A stem-and-leaf graph, also called a stemplot, allows for a nice overview of quantitative data without losing information on individual observations. It can be a good

More information

Name Date Types of Graphs and Creating Graphs Notes

Name Date Types of Graphs and Creating Graphs Notes Name Date Types of Graphs and Creating Graphs Notes Graphs are helpful visual representations of data. Different graphs display data in different ways. Some graphs show individual data, but many do not.

More information

Chapter 3. Descriptive Measures. Slide 3-2. Copyright 2012, 2008, 2005 Pearson Education, Inc.

Chapter 3. Descriptive Measures. Slide 3-2. Copyright 2012, 2008, 2005 Pearson Education, Inc. Chapter 3 Descriptive Measures Slide 3-2 Section 3.1 Measures of Center Slide 3-3 Definition 3.1 Mean of a Data Set The mean of a data set is the sum of the observations divided by the number of observations.

More information

Unit 7 Statistics. AFM Mrs. Valentine. 7.1 Samples and Surveys

Unit 7 Statistics. AFM Mrs. Valentine. 7.1 Samples and Surveys Unit 7 Statistics AFM Mrs. Valentine 7.1 Samples and Surveys v Obj.: I will understand the different methods of sampling and studying data. I will be able to determine the type used in an example, and

More information

Section 9: One Variable Statistics

Section 9: One Variable Statistics The following Mathematics Florida Standards will be covered in this section: MAFS.912.S-ID.1.1 MAFS.912.S-ID.1.2 MAFS.912.S-ID.1.3 Represent data with plots on the real number line (dot plots, histograms,

More information

Box Plots. OpenStax College

Box Plots. OpenStax College Connexions module: m46920 1 Box Plots OpenStax College This work is produced by The Connexions Project and licensed under the Creative Commons Attribution License 3.0 Box plots (also called box-and-whisker

More information

UNIT 1A EXPLORING UNIVARIATE DATA

UNIT 1A EXPLORING UNIVARIATE DATA A.P. STATISTICS E. Villarreal Lincoln HS Math Department UNIT 1A EXPLORING UNIVARIATE DATA LESSON 1: TYPES OF DATA Here is a list of important terms that we must understand as we begin our study of statistics

More information

Day 4 Percentiles and Box and Whisker.notebook. April 20, 2018

Day 4 Percentiles and Box and Whisker.notebook. April 20, 2018 Day 4 Box & Whisker Plots and Percentiles In a previous lesson, we learned that the median divides a set a data into 2 equal parts. Sometimes it is necessary to divide the data into smaller more precise

More information

10.4 Measures of Central Tendency and Variation

10.4 Measures of Central Tendency and Variation 10.4 Measures of Central Tendency and Variation Mode-->The number that occurs most frequently; there can be more than one mode ; if each number appears equally often, then there is no mode at all. (mode

More information

10.4 Measures of Central Tendency and Variation

10.4 Measures of Central Tendency and Variation 10.4 Measures of Central Tendency and Variation Mode-->The number that occurs most frequently; there can be more than one mode ; if each number appears equally often, then there is no mode at all. (mode

More information

Univariate Statistics Summary

Univariate Statistics Summary Further Maths Univariate Statistics Summary Types of Data Data can be classified as categorical or numerical. Categorical data are observations or records that are arranged according to category. For example:

More information

How individual data points are positioned within a data set.

How individual data points are positioned within a data set. Section 3.4 Measures of Position Percentiles How individual data points are positioned within a data set. P k is the value such that k% of a data set is less than or equal to P k. For example if we said

More information

Name: Stat 300: Intro to Probability & Statistics Textbook: Introduction to Statistical Investigations

Name: Stat 300: Intro to Probability & Statistics Textbook: Introduction to Statistical Investigations Stat 300: Intro to Probability & Statistics Textbook: Introduction to Statistical Investigations Name: Chapter P: Preliminaries Section P.2: Exploring Data Example 1: Think About It! What will it look

More information

Learning Log Title: CHAPTER 8: STATISTICS AND MULTIPLICATION EQUATIONS. Date: Lesson: Chapter 8: Statistics and Multiplication Equations

Learning Log Title: CHAPTER 8: STATISTICS AND MULTIPLICATION EQUATIONS. Date: Lesson: Chapter 8: Statistics and Multiplication Equations Chapter 8: Statistics and Multiplication Equations CHAPTER 8: STATISTICS AND MULTIPLICATION EQUATIONS Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 8: Statistics and Multiplication

More information

MATH NATION SECTION 9 H.M.H. RESOURCES

MATH NATION SECTION 9 H.M.H. RESOURCES MATH NATION SECTION 9 H.M.H. RESOURCES SPECIAL NOTE: These resources were assembled to assist in student readiness for their upcoming Algebra 1 EOC. Although these resources have been compiled for your

More information

CCGPS UNIT 4 Semester 2 COORDINATE ALGEBRA Page 1 of 34. Describing Data

CCGPS UNIT 4 Semester 2 COORDINATE ALGEBRA Page 1 of 34. Describing Data CCGPS UNIT 4 Semester 2 COORDINATE ALGEBRA Page 1 of 34 Describing Data Name: Date: Summarize, represent, and interpret data on a single count or measurement variable MCC9-12.S.ID.1 Represent data with

More information

MAT 110 WORKSHOP. Updated Fall 2018

MAT 110 WORKSHOP. Updated Fall 2018 MAT 110 WORKSHOP Updated Fall 2018 UNIT 3: STATISTICS Introduction Choosing a Sample Simple Random Sample: a set of individuals from the population chosen in a way that every individual has an equal chance

More information

Mean,Median, Mode Teacher Twins 2015

Mean,Median, Mode Teacher Twins 2015 Mean,Median, Mode Teacher Twins 2015 Warm Up How can you change the non-statistical question below to make it a statistical question? How many pets do you have? Possible answer: What is your favorite type

More information

Chapter 11. Worked-Out Solutions Explorations (p. 585) Chapter 11 Maintaining Mathematical Proficiency (p. 583)

Chapter 11. Worked-Out Solutions Explorations (p. 585) Chapter 11 Maintaining Mathematical Proficiency (p. 583) Maintaining Mathematical Proficiency (p. 3) 1. After School Activities. Pets Frequency 1 1 3 7 Number of activities 3. Students Favorite Subjects Math English Science History Frequency 1 1 1 3 Number of

More information

Data Distribution. Objectives. Vocabulary 4/10/2017. Name: Pd: Organize data in tables and graphs. Choose a table or graph to display data.

Data Distribution. Objectives. Vocabulary 4/10/2017. Name: Pd: Organize data in tables and graphs. Choose a table or graph to display data. Organizing Data Write the equivalent percent. Data Distribution Name: Pd: 1. 2. 3. Find each value. 4. 20% of 360 5. 75% of 360 6. Organize data in tables and graphs. Choose a table or graph to display

More information

Chapter 2 Modeling Distributions of Data

Chapter 2 Modeling Distributions of Data Chapter 2 Modeling Distributions of Data Section 2.1 Describing Location in a Distribution Describing Location in a Distribution Learning Objectives After this section, you should be able to: FIND and

More information

CHAPTER 1. Introduction. Statistics: Statistics is the science of collecting, organizing, analyzing, presenting and interpreting data.

CHAPTER 1. Introduction. Statistics: Statistics is the science of collecting, organizing, analyzing, presenting and interpreting data. 1 CHAPTER 1 Introduction Statistics: Statistics is the science of collecting, organizing, analyzing, presenting and interpreting data. Variable: Any characteristic of a person or thing that can be expressed

More information

Date Lesson TOPIC HOMEWORK. Displaying Data WS 6.1. Measures of Central Tendency WS 6.2. Common Distributions WS 6.6. Outliers WS 6.

Date Lesson TOPIC HOMEWORK. Displaying Data WS 6.1. Measures of Central Tendency WS 6.2. Common Distributions WS 6.6. Outliers WS 6. UNIT 6 ONE VARIABLE STATISTICS Date Lesson TOPIC HOMEWORK 6.1 3.3 6.2 3.4 Displaying Data WS 6.1 Measures of Central Tendency WS 6.2 6.3 6.4 3.5 6.5 3.5 Grouped Data Central Tendency Measures of Spread

More information

Density Curve (p52) Density curve is a curve that - is always on or above the horizontal axis.

Density Curve (p52) Density curve is a curve that - is always on or above the horizontal axis. 1.3 Density curves p50 Some times the overall pattern of a large number of observations is so regular that we can describe it by a smooth curve. It is easier to work with a smooth curve, because the histogram

More information

STA Rev. F Learning Objectives. Learning Objectives (Cont.) Module 3 Descriptive Measures

STA Rev. F Learning Objectives. Learning Objectives (Cont.) Module 3 Descriptive Measures STA 2023 Module 3 Descriptive Measures Learning Objectives Upon completing this module, you should be able to: 1. Explain the purpose of a measure of center. 2. Obtain and interpret the mean, median, and

More information

Chapter 1. Looking at Data-Distribution

Chapter 1. Looking at Data-Distribution Chapter 1. Looking at Data-Distribution Statistics is the scientific discipline that provides methods to draw right conclusions: 1)Collecting the data 2)Describing the data 3)Drawing the conclusions Raw

More information

Understanding Statistical Questions

Understanding Statistical Questions Unit 6: Statistics Standards, Checklist and Concept Map Common Core Georgia Performance Standards (CCGPS): MCC6.SP.1: Recognize a statistical question as one that anticipates variability in the data related

More information

Vocabulary. 5-number summary Rule. Area principle. Bar chart. Boxplot. Categorical data condition. Categorical variable.

Vocabulary. 5-number summary Rule. Area principle. Bar chart. Boxplot. Categorical data condition. Categorical variable. 5-number summary 68-95-99.7 Rule Area principle Bar chart Bimodal Boxplot Case Categorical data Categorical variable Center Changing center and spread Conditional distribution Context Contingency table

More information

1.3 Graphical Summaries of Data

1.3 Graphical Summaries of Data Arkansas Tech University MATH 3513: Applied Statistics I Dr. Marcel B. Finan 1.3 Graphical Summaries of Data In the previous section we discussed numerical summaries of either a sample or a data. In this

More information

6th Grade Vocabulary Mathematics Unit 2

6th Grade Vocabulary Mathematics Unit 2 6 th GRADE UNIT 2 6th Grade Vocabulary Mathematics Unit 2 VOCABULARY area triangle right triangle equilateral triangle isosceles triangle scalene triangle quadrilaterals polygons irregular polygons rectangles

More information

Bar Graphs and Dot Plots

Bar Graphs and Dot Plots CONDENSED LESSON 1.1 Bar Graphs and Dot Plots In this lesson you will interpret and create a variety of graphs find some summary values for a data set draw conclusions about a data set based on graphs

More information

M7D1.a: Formulate questions and collect data from a census of at least 30 objects and from samples of varying sizes.

M7D1.a: Formulate questions and collect data from a census of at least 30 objects and from samples of varying sizes. M7D1.a: Formulate questions and collect data from a census of at least 30 objects and from samples of varying sizes. Population: Census: Biased: Sample: The entire group of objects or individuals considered

More information

CHAPTER 2 DESCRIPTIVE STATISTICS

CHAPTER 2 DESCRIPTIVE STATISTICS CHAPTER 2 DESCRIPTIVE STATISTICS 1. Stem-and-Leaf Graphs, Line Graphs, and Bar Graphs The distribution of data is how the data is spread or distributed over the range of the data values. This is one of

More information

MATH& 146 Lesson 8. Section 1.6 Averages and Variation

MATH& 146 Lesson 8. Section 1.6 Averages and Variation MATH& 146 Lesson 8 Section 1.6 Averages and Variation 1 Summarizing Data The distribution of a variable is the overall pattern of how often the possible values occur. For numerical variables, three summary

More information

STA Module 2B Organizing Data and Comparing Distributions (Part II)

STA Module 2B Organizing Data and Comparing Distributions (Part II) STA 2023 Module 2B Organizing Data and Comparing Distributions (Part II) Learning Objectives Upon completing this module, you should be able to 1 Explain the purpose of a measure of center 2 Obtain and

More information

STA Learning Objectives. Learning Objectives (cont.) Module 2B Organizing Data and Comparing Distributions (Part II)

STA Learning Objectives. Learning Objectives (cont.) Module 2B Organizing Data and Comparing Distributions (Part II) STA 2023 Module 2B Organizing Data and Comparing Distributions (Part II) Learning Objectives Upon completing this module, you should be able to 1 Explain the purpose of a measure of center 2 Obtain and

More information

AP Statistics. Study Guide

AP Statistics. Study Guide Measuring Relative Standing Standardized Values and z-scores AP Statistics Percentiles Rank the data lowest to highest. Counting up from the lowest value to the select data point we discover the percentile

More information

Measures of Position

Measures of Position Measures of Position In this section, we will learn to use fractiles. Fractiles are numbers that partition, or divide, an ordered data set into equal parts (each part has the same number of data entries).

More information

IT 403 Practice Problems (1-2) Answers

IT 403 Practice Problems (1-2) Answers IT 403 Practice Problems (1-2) Answers #1. Using Tukey's Hinges method ('Inclusionary'), what is Q3 for this dataset? 2 3 5 7 11 13 17 a. 7 b. 11 c. 12 d. 15 c (12) #2. How do quartiles and percentiles

More information

Chapter 2. Descriptive Statistics: Organizing, Displaying and Summarizing Data

Chapter 2. Descriptive Statistics: Organizing, Displaying and Summarizing Data Chapter 2 Descriptive Statistics: Organizing, Displaying and Summarizing Data Objectives Student should be able to Organize data Tabulate data into frequency/relative frequency tables Display data graphically

More information

Chapter 6: DESCRIPTIVE STATISTICS

Chapter 6: DESCRIPTIVE STATISTICS Chapter 6: DESCRIPTIVE STATISTICS Random Sampling Numerical Summaries Stem-n-Leaf plots Histograms, and Box plots Time Sequence Plots Normal Probability Plots Sections 6-1 to 6-5, and 6-7 Random Sampling

More information

2.1 Objectives. Math Chapter 2. Chapter 2. Variable. Categorical Variable EXPLORING DATA WITH GRAPHS AND NUMERICAL SUMMARIES

2.1 Objectives. Math Chapter 2. Chapter 2. Variable. Categorical Variable EXPLORING DATA WITH GRAPHS AND NUMERICAL SUMMARIES EXPLORING DATA WITH GRAPHS AND NUMERICAL SUMMARIES Chapter 2 2.1 Objectives 2.1 What Are the Types of Data? www.managementscientist.org 1. Know the definitions of a. Variable b. Categorical versus quantitative

More information

Section 1.2. Displaying Quantitative Data with Graphs. Mrs. Daniel AP Stats 8/22/2013. Dotplots. How to Make a Dotplot. Mrs. Daniel AP Statistics

Section 1.2. Displaying Quantitative Data with Graphs. Mrs. Daniel AP Stats 8/22/2013. Dotplots. How to Make a Dotplot. Mrs. Daniel AP Statistics Section. Displaying Quantitative Data with Graphs Mrs. Daniel AP Statistics Section. Displaying Quantitative Data with Graphs After this section, you should be able to CONSTRUCT and INTERPRET dotplots,

More information

HS Mathematics Item Specification C1 TP

HS Mathematics Item Specification C1 TP Task Model 1 Multiple Choice, single correct response S-ID.A.1 Represent data with plots on the real number line (dot plots, histograms, and box plots). 1. The student will be able to represent data on

More information

Algebra 1: 2nd Semester Exam Review

Algebra 1: 2nd Semester Exam Review 10. Algebra 1: 2nd Semester Exam Review Name Period 1. Write each expression in rational exponent form. a. b. 2. Write each expression in radical form. a. b. What is the simplified form of each expression?

More information

Unit #4: Statistics Lesson #1: Mean, Median, Mode, & Standard Deviation

Unit #4: Statistics Lesson #1: Mean, Median, Mode, & Standard Deviation Algebra I Name Unit #4: Statistics Lesson #1: Mean, Median, Mode, & Standard Deviation Period Date Before we jump into our last unit, we need to review some important definitions about data. Looking at

More information

Descriptive Statistics: Box Plot

Descriptive Statistics: Box Plot Connexions module: m16296 1 Descriptive Statistics: Box Plot Susan Dean Barbara Illowsky, Ph.D. This work is produced by The Connexions Project and licensed under the Creative Commons Attribution License

More information

Unit I Supplement OpenIntro Statistics 3rd ed., Ch. 1

Unit I Supplement OpenIntro Statistics 3rd ed., Ch. 1 Unit I Supplement OpenIntro Statistics 3rd ed., Ch. 1 KEY SKILLS: Organize a data set into a frequency distribution. Construct a histogram to summarize a data set. Compute the percentile for a particular

More information

Measures of Central Tendency. A measure of central tendency is a value used to represent the typical or average value in a data set.

Measures of Central Tendency. A measure of central tendency is a value used to represent the typical or average value in a data set. 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 values in

More information

Section 6.3: Measures of Position

Section 6.3: Measures of Position Section 6.3: Measures of Position Measures of position are numbers showing the location of data values relative to the other values within a data set. They can be used to compare values from different

More information

Chapter 5: The standard deviation as a ruler and the normal model p131

Chapter 5: The standard deviation as a ruler and the normal model p131 Chapter 5: The standard deviation as a ruler and the normal model p131 Which is the better exam score? 67 on an exam with mean 50 and SD 10 62 on an exam with mean 40 and SD 12? Is it fair to say: 67 is

More information

AND NUMERICAL SUMMARIES. Chapter 2

AND NUMERICAL SUMMARIES. Chapter 2 EXPLORING DATA WITH GRAPHS AND NUMERICAL SUMMARIES Chapter 2 2.1 What Are the Types of Data? 2.1 Objectives www.managementscientist.org 1. Know the definitions of a. Variable b. Categorical versus quantitative

More information

CHAPTER 2: SAMPLING AND DATA

CHAPTER 2: SAMPLING AND DATA CHAPTER 2: SAMPLING AND DATA This presentation is based on material and graphs from Open Stax and is copyrighted by Open Stax and Georgia Highlands College. OUTLINE 2.1 Stem-and-Leaf Graphs (Stemplots),

More information

Name: Date: Period: Chapter 2. Section 1: Describing Location in a Distribution

Name: Date: Period: Chapter 2. Section 1: Describing Location in a Distribution Name: Date: Period: Chapter 2 Section 1: Describing Location in a Distribution Suppose you earned an 86 on a statistics quiz. The question is: should you be satisfied with this score? What if it is the

More information

appstats6.notebook September 27, 2016

appstats6.notebook September 27, 2016 Chapter 6 The Standard Deviation as a Ruler and the Normal Model Objectives: 1.Students will calculate and interpret z scores. 2.Students will compare/contrast values from different distributions using

More information

NAME: DIRECTIONS FOR THE ROUGH DRAFT OF THE BOX-AND WHISKER PLOT

NAME: DIRECTIONS FOR THE ROUGH DRAFT OF THE BOX-AND WHISKER PLOT NAME: DIRECTIONS FOR THE ROUGH DRAFT OF THE BOX-AND WHISKER PLOT 1.) Put the numbers in numerical order from the least to the greatest on the line segments. 2.) Find the median. Since the data set has

More information

Lecture Notes 3: Data summarization

Lecture Notes 3: Data summarization Lecture Notes 3: Data summarization Highlights: Average Median Quartiles 5-number summary (and relation to boxplots) Outliers Range & IQR Variance and standard deviation Determining shape using mean &

More information

2.1: Frequency Distributions and Their Graphs

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

More information

The main issue is that the mean and standard deviations are not accurate and should not be used in the analysis. Then what statistics should we use?

The main issue is that the mean and standard deviations are not accurate and should not be used in the analysis. Then what statistics should we use? Chapter 4 Analyzing Skewed Quantitative Data Introduction: In chapter 3, we focused on analyzing bell shaped (normal) data, but many data sets are not bell shaped. How do we analyze quantitative data when

More information

Female Brown Bear Weights

Female Brown Bear Weights CC-20 Normal Distributions Common Core State Standards MACC.92.S-ID..4 Use the mean and standard of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that

More information

AP Statistics Summer Assignment:

AP Statistics Summer Assignment: AP Statistics Summer Assignment: Read the following and use the information to help answer your summer assignment questions. You will be responsible for knowing all of the information contained in this

More information

Chapter 3 Analyzing Normal Quantitative Data

Chapter 3 Analyzing Normal Quantitative Data Chapter 3 Analyzing Normal Quantitative Data Introduction: In chapters 1 and 2, we focused on analyzing categorical data and exploring relationships between categorical data sets. We will now be doing

More information

CHAPTER 2: DESCRIPTIVE STATISTICS Lecture Notes for Introductory Statistics 1. Daphne Skipper, Augusta University (2016)

CHAPTER 2: DESCRIPTIVE STATISTICS Lecture Notes for Introductory Statistics 1. Daphne Skipper, Augusta University (2016) CHAPTER 2: DESCRIPTIVE STATISTICS Lecture Notes for Introductory Statistics 1 Daphne Skipper, Augusta University (2016) 1. Stem-and-Leaf Graphs, Line Graphs, and Bar Graphs The distribution of data is

More information

Basic Statistical Terms and Definitions

Basic Statistical Terms and Definitions I. Basics Basic Statistical Terms and Definitions Statistics is a collection of methods for planning experiments, and obtaining data. The data is then organized and summarized so that professionals can

More information

AP Statistics Prerequisite Packet

AP Statistics Prerequisite Packet Types of Data Quantitative (or measurement) Data These are data that take on numerical values that actually represent a measurement such as size, weight, how many, how long, score on a test, etc. For these

More information

STP 226 ELEMENTARY STATISTICS NOTES PART 2 - DESCRIPTIVE STATISTICS CHAPTER 3 DESCRIPTIVE MEASURES

STP 226 ELEMENTARY STATISTICS NOTES PART 2 - DESCRIPTIVE STATISTICS CHAPTER 3 DESCRIPTIVE MEASURES STP 6 ELEMENTARY STATISTICS NOTES PART - DESCRIPTIVE STATISTICS CHAPTER 3 DESCRIPTIVE MEASURES Chapter covered organizing data into tables, and summarizing data with graphical displays. We will now use

More information

Center, Shape, & Spread Center, shape, and spread are all words that describe what a particular graph looks like.

Center, Shape, & Spread Center, shape, and spread are all words that describe what a particular graph looks like. Center, Shape, & Spread Center, shape, and spread are all words that describe what a particular graph looks like. Center When we talk about center, shape, or spread, we are talking about the distribution

More information

Measures of Central Tendency

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

More information

1.2. Pictorial and Tabular Methods in Descriptive Statistics

1.2. Pictorial and Tabular Methods in Descriptive Statistics 1.2. Pictorial and Tabular Methods in Descriptive Statistics Section Objectives. 1. Stem-and-Leaf displays. 2. Dotplots. 3. Histogram. Types of histogram shapes. Common notation. Sample size n : the number

More information

Quantitative - One Population

Quantitative - One Population Quantitative - One Population The Quantitative One Population VISA procedures allow the user to perform descriptive and inferential procedures for problems involving one population with quantitative (interval)

More information

Ex.1 constructing tables. a) find the joint relative frequency of males who have a bachelors degree.

Ex.1 constructing tables. a) find the joint relative frequency of males who have a bachelors degree. Two-way Frequency Tables two way frequency table- a table that divides responses into categories. Joint relative frequency- the number of times a specific response is given divided by the sample. Marginal

More information

Box and Whisker Plot Review A Five Number Summary. October 16, Box and Whisker Lesson.notebook. Oct 14 5:21 PM. Oct 14 5:21 PM.

Box and Whisker Plot Review A Five Number Summary. October 16, Box and Whisker Lesson.notebook. Oct 14 5:21 PM. Oct 14 5:21 PM. Oct 14 5:21 PM Oct 14 5:21 PM Box and Whisker Plot Review A Five Number Summary Activities Practice Labeling Title Page 1 Click on each word to view its definition. Outlier Median Lower Extreme Upper Extreme

More information

Section 3.1 Shapes of Distributions MDM4U Jensen

Section 3.1 Shapes of Distributions MDM4U Jensen Section 3.1 Shapes of Distributions MDM4U Jensen Part 1: Histogram Review Example 1: Earthquakes are measured on a scale known as the Richter Scale. There data are a sample of earthquake magnitudes in

More information

REVIEW OF 6 TH GRADE

REVIEW OF 6 TH GRADE Name: Period: Advanced Unit 1: REVIEW OF 6 TH GRADE CW-HW Packet Page 1 of 33 Fractions Wksht 1 Find the LCM of the numbers. 1) 3, 8 2) 5, 15 3) 7, 12 Find the GCF of the numbers. 4) 42, 86 5) 122, 76

More information

Descriptive Statistics

Descriptive Statistics Descriptive Statistics Library, Teaching & Learning 014 Summary of Basic data Analysis DATA Qualitative Quantitative Counted Measured Discrete Continuous 3 Main Measures of Interest Central Tendency Dispersion

More information

Chapter 2: Understanding Data Distributions with Tables and Graphs

Chapter 2: Understanding Data Distributions with Tables and Graphs Test Bank Chapter 2: Understanding Data with Tables and Graphs Multiple Choice 1. Which of the following would best depict nominal level data? a. pie chart b. line graph c. histogram d. polygon Ans: A

More information

Processing, representing and interpreting data

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

More information

Chapter2 Description of samples and populations. 2.1 Introduction.

Chapter2 Description of samples and populations. 2.1 Introduction. Chapter2 Description of samples and populations. 2.1 Introduction. Statistics=science of analyzing data. Information collected (data) is gathered in terms of variables (characteristics of a subject that

More information

Name Geometry Intro to Stats. Find the mean, median, and mode of the data set. 1. 1,6,3,9,6,8,4,4,4. Mean = Median = Mode = 2.

Name Geometry Intro to Stats. Find the mean, median, and mode of the data set. 1. 1,6,3,9,6,8,4,4,4. Mean = Median = Mode = 2. Name Geometry Intro to Stats Statistics are numerical values used to summarize and compare sets of data. Two important types of statistics are measures of central tendency and measures of dispersion. A

More information

Table of Contents (As covered from textbook)

Table of Contents (As covered from textbook) Table of Contents (As covered from textbook) Ch 1 Data and Decisions Ch 2 Displaying and Describing Categorical Data Ch 3 Displaying and Describing Quantitative Data Ch 4 Correlation and Linear Regression

More information

15 Wyner Statistics Fall 2013

15 Wyner Statistics Fall 2013 15 Wyner Statistics Fall 2013 CHAPTER THREE: CENTRAL TENDENCY AND VARIATION Summary, Terms, and Objectives The two most important aspects of a numerical data set are its central tendencies and its variation.

More information

Chapter 5. Normal. Normal Curve. the Normal. Curve Examples. Standard Units Standard Units Examples. for Data

Chapter 5. Normal. Normal Curve. the Normal. Curve Examples. Standard Units Standard Units Examples. for Data curve Approximation Part II Descriptive Statistics The Approximation Approximation The famous normal curve can often be used as an 'ideal' histogram, to which histograms for data can be compared. Its equation

More information

CHAPTER 3: Data Description

CHAPTER 3: Data Description CHAPTER 3: Data Description You ve tabulated and made pretty pictures. Now what numbers do you use to summarize your data? Ch3: Data Description Santorico Page 68 You ll find a link on our website to a

More information

Grade 6 Math Vocabulary

Grade 6 Math Vocabulary Ratio, Rate, Unit Rate, Rate Unit Grade 6 Math Vocabulary Ratio, Rate, Unit Rate, Rate Unit Representing Equivalent Ratios Double Number Line 0 Ratio: An ordered pair of numbers which are not both zero.

More information

Statistics Lecture 6. Looking at data one variable

Statistics Lecture 6. Looking at data one variable Statistics 111 - Lecture 6 Looking at data one variable Chapter 1.1 Moore, McCabe and Craig Probability vs. Statistics Probability 1. We know the distribution of the random variable (Normal, Binomial)

More information

Math 120 Introduction to Statistics Mr. Toner s Lecture Notes 3.1 Measures of Central Tendency

Math 120 Introduction to Statistics Mr. Toner s Lecture Notes 3.1 Measures of Central Tendency Math 1 Introduction to Statistics Mr. Toner s Lecture Notes 3.1 Measures of Central Tendency lowest value + highest value midrange The word average: is very ambiguous and can actually refer to the mean,

More information

Lesson 18-1 Lesson Lesson 18-1 Lesson Lesson 18-2 Lesson 18-2

Lesson 18-1 Lesson Lesson 18-1 Lesson Lesson 18-2 Lesson 18-2 Topic 18 Set A Words survey data Topic 18 Set A Words Lesson 18-1 Lesson 18-1 sample line plot Lesson 18-1 Lesson 18-1 frequency table bar graph Lesson 18-2 Lesson 18-2 Instead of making 2-sided copies

More information

Glossary. additive reasoning. absolute deviation. algebraic expression. absolute value. altitude. Addition Property of Equality

Glossary. additive reasoning. absolute deviation. algebraic expression. absolute value. altitude. Addition Property of Equality Glossary absolute deviation A The absolute value of each deviation is called the absolute deviation. 11 1 5 1 data mean deviaton deviation 1 5 1 absolute value absolute deviation The absolute value, or

More information

Sections 2.3 and 2.4

Sections 2.3 and 2.4 Sections 2.3 and 2.4 Shiwen Shen Department of Statistics University of South Carolina Elementary Statistics for the Biological and Life Sciences (STAT 205) 2 / 25 Descriptive statistics For continuous

More information

The first few questions on this worksheet will deal with measures of central tendency. These data types tell us where the center of the data set lies.

The first few questions on this worksheet will deal with measures of central tendency. These data types tell us where the center of the data set lies. Instructions: You are given the following data below these instructions. Your client (Courtney) wants you to statistically analyze the data to help her reach conclusions about how well she is teaching.

More information

2017 Summer Review for Students Entering Pre-Algebra 7 & Pre-Algebra 8

2017 Summer Review for Students Entering Pre-Algebra 7 & Pre-Algebra 8 1. Area and Perimeter of Polygons 2. Multiple Representations of Portions 3. Multiplying Fractions and Decimals 4. Order of Operations 5. Writing and Evaluating Algebraic Expressions 6. Simplifying Expressions

More information

Averages and Variation

Averages and Variation Averages and Variation 3 Copyright Cengage Learning. All rights reserved. 3.1-1 Section 3.1 Measures of Central Tendency: Mode, Median, and Mean Copyright Cengage Learning. All rights reserved. 3.1-2 Focus

More information

Chapter 2 Describing, Exploring, and Comparing Data

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

More information