What is Statistics? 13.1 What is Statistics? Statistics


 Melissa Newman
 2 years ago
 Views:
Transcription
1 13.1 What is Statistics? What is Statistics? The collection of all outcomes, responses, measurements, or counts that are of interest. A portion or subset of the population. Statistics Is the science of collecting, organizing, analyzing, and interpreting data in order to make decisions. ch 13 Angel & Porter (6th ed) 1 Descriptive Statistics Involves organizing, summarizing, and displaying data. e.g. Tables, charts, averages Statistics Inferential Statistics Involves using sample data to draw conclusions about a population. ch 13 Angel & Porter (6th ed) 2 Sampling Techniques Simple Random Sample: Each member of the population has an equal chance of being selected. Please read section 13.2 The Misuses of Statistics ch 13 Angel & Porter (6th ed) 3
2 13.3 Frequency Distributions Consider the following data collected from students in a class: Number of traffic tickets received It is usually helpful to summarize a large amount of data in a frequency distribution. ch 13 Angel & Porter (6th ed) 4 A frequency distribution is a listing of the observed values and the corresponding frequency of occurrence of each value. Example Construct a frequency distribution for the number of traffic tickets received. Number of traffic tickets received ch 13 Angel & Porter (6th ed) 5 If you have a large data set in which few numbers are repeated, it may be helpful to create a Grouped Frequency Distribution. Example The following data represent the monthly account balances (to the nearest dollar) for a sample of fifty credit card users ch 13 Angel & Porter (6th ed) 6
3 Rules for Data Grouped by Classes 1. The classes should be of the same width. 2. The classes should not overlap. 3. Each piece of data should belong to only one class. You should use between classes (intervals). Lets arbitrarily make the first interval go from This means the second interval must start at 60. We say the class width is 20, since there are 20 numbers in the first interval (40, 41, 42,, 58, 59) ch 13 Angel & Porter (6th ed) 7 The modal class of a frequency distribution is the class with the highest frequency. The midpoint of a class (called the class mark) is found by lower limit + upper limit 2 ch 13 Angel & Porter (6th ed) 8 Example #16 Construct a frequency distribution with a first class of ch 13 Angel & Porter (6th ed) 9
4 13.4 Statistical Graphs Often it is easier to understand information when it is summarized in a graph. We will look at 3 types of graphs. Circle Graphs (Pie Graphs) Shows the relationship of each category to the whole by visually comparing the sizes of the slices of the pie. Information displayed in a circle graph needs to be categories (nonnumeric). Letter grade distribution on an exam D 13% C 17% F 9% A 48% B 13% ch 13 Angel & Porter (6th ed) 10 Example #10 In 2000 there are 66.6 million households online worldwide. Of the total, 57% are in North America. Estimate the number of households online in each region shown on the graph. Asia/Pacific rim 15% Europe 25% Other 3% North America 57% ch 13 Angel & Porter (6th ed) 11 Histograms and frequency polygons are used to illustrate numeric data contained in a frequency distribution. Histogram Observed data is placed on the horizontal axis and frequencies on the vertical axis. A rectangle is placed above each value or class indicating the frequency for that value or class. Histogram observed values ch 13 Angel & Porter (6th ed) 12 Frequency
5 Frequency Polygon Observed data is placed on the horizontal axis and frequencies on the vertical axis. A dot is placed at the corresponding frequency above each observed value or class. The dots are connected with straight line segments. Frequency Frequency Polygon observed values ch 13 Angel & Porter (6th ed) 13 Example #14 The frequency distribution shown indicates the ages of a group of 40 people attending a party. (A) Construct a histogram of the frequency distribution. (B) Construct a frequency polygon of the frequency distribution. Age Number of People ch 13 Angel & Porter (6th ed) 14 Example #16 The frequency distribution illustrates the annual salaries, in thousands of dollars, of the people in management positions at the Bradley Thomas Corporation. (A) Construct a histogram of the frequency distribution. (B) Construct a frequency polygon of the frequency distribution. Salary (in $1000) Number of People ch 13 Angel & Porter (6th ed) 15
6 Example The following histogram represents the record high temperature for different states. Frequency Record High Temperature Temperature ch 13 Angel & Porter (6th ed) 16 (A) How many states were surveyed? (B) What are the lower and upper class limits of the first and second classes? (C) How many states have a record high temperature in the class with a class mark of 122? (D) What is the class mark of the modal class? ch 13 Angel & Porter (6th ed) Measures of Central Tendency I. Mean: The sum of all data values divided by the number of values For a sample: Sigma Notation: add all of the data values (x) in the data set. ch 13 Angel & Porter (6th ed) 18
7 Example An instructor recorded the number of absences for his students in one semester. For a random sample the data are: Find the sample mean. ch 13 Angel & Porter (6th ed) 19 II. Median: The middle value of an data set. Half of the measurements fall below the median and half are above. Example An instructor recorded the number of absences for his students in one semester. For a random sample the data are: Find the median. ch 13 Angel & Porter (6th ed) 20 III. Mode: The value with the highest frequency. If no entry is repeated, there is no mode. Example An instructor recorded the number of absences for his students in one semester. For a random sample the data are: Find the mode. ch 13 Angel & Porter (6th ed) 21
8 IV. Midrange: The value halfway between the lowest and highest values in the data set. Midrange = Example An instructor recorded the number of absences for his students in one semester. For a random sample the data are: Find the midrange. ch 13 Angel & Porter (6th ed) 22 Example (cont) Suppose the student with 40 absences is dropped from the course. Calculate the mean, median, mode, and midrange of the remaining values. Compare the effect of the change to each type of average ch 13 Angel & Porter (6th ed) 23 Comparing the Mean, Median, Mode, and Midrange The mean is used most often because it uses all of the data values in its computation. Thus it is almost always a good representative value. The mean is the only measure of central tendency that can be affected by any change in the data set. If the data set contains "extreme values" (called ) the median provides a more accurate measure of central tendency. Look at the effect of the 40 on the mean and median in the previous example. ch 13 Angel & Porter (6th ed) 24
9 The mode is the easiest to "compute" however it may not be very useful if the data set is small. The mode is useful when discussing such ideas as shoe size. If a retailer is ordering shoes, it would be helpful to know the most common shoe size. The midrange is seldom used. Because it only uses the lowest and highest values, it is too sensitive to extreme values. ch 13 Angel & Porter (6th ed) Measures of Dispersion Tells how spread out the data is. Consider the heights of the five starting players on each of two men s college basketball teams. Team A 73 Team B Mean = 75 Mean = 75 Median = 76 Median = 76 Mode = 76 Mode = 76 These sets are different due to variation. ch 13 Angel & Porter (6th ed) 26 I. Range = Example Range A = Range B = Drawback: The range only uses 2 numbers from a data set. ch 13 Angel & Porter (6th ed) 27
10 The deviation for each value x is the difference between the value of x and the mean of the data set. In a sample, the deviation for each value x is: ( x x) 2 II. Sample Standard Deviation: s = x x n 1 ch 13 Angel & Porter (6th ed) x = 75 ch 13 Angel & Porter (6th ed) Procedure to find the standard deviation: (p. 696) 1. Calculate the mean. 2. Make a chart with 3 columns: Data Data Mean (Data Mean) 2 3. Fill in each column. 4. Add the values in the (Data Mean) 2 column. 5. Divide the sum by n Take the square root of the quotient. ch 13 Angel & Porter (6th ed) 30
11 Example Calculate the standard deviation for Team B. Data 67 Data  Mean (Data Mean) ch 13 Angel & Porter (6th ed) The Normal Curve When we look at a histogram we can see the overall shape of the distribution of data. Some shapes occur more often than others Number of Children per Family Number of children ch 13 Angel & Porter (6th ed) 32 Skewed Right Skewed Left Normal Distribution ch 13 Angel & Porter (6th ed) 33
12 Data with Normal distribution has the following characteristics. About About x 3s x 2s x s x x + s x + 2s x + 3s of the data lies within 1 standard deviation of the mean of the data lies within 2 standard deviations of the mean Almost all of the data lies within 3 standard deviations of the mean ch 13 Angel & Porter (6th ed) 34 Example An instruction manual claims that the assembly time for a product is normally distributed with a mean of 4.2 hours and standard deviation 0.3 hours. What percentage of products will have assembly times between 3.6 hours and 4.8 hours? What if we wanted to know what percentage of products will have assembly times more than 4.7 hours. To answer this question requires using a zscore. ch 13 Angel & Porter (6th ed) 35 The zscore, represents the number of standard deviations a random variable x falls from the mean µ. value  mean x x z = = standard deviation s Example An instruction manual claims that the assembly time for a product is normally distributed with a mean of 4.2 hours and standard deviation 0.3 hours. Find the standard zscore for an assembly time of: (a) 3.6 hrs (b) 4.2 hrs (c) 4.7 hrs ZScore has 2 parts: (1) sign  above or below the mean (2) numerical value  # of standard deviations away from the mean ch 13 Angel & Porter (6th ed) 36
13 Most questions we need to answer about a normal distribution involve values other than those within 1, 2, or 3 standard deviations away from the mean. To answer these questions, we use the zscore and a table of percentage values. Table 13.7 (p. 706) gives the area (percentage) under the normal curve between the mean, z = 0, and a zvalue to the right of the mean. The total area under the normal curve is 1.0 = 100% ch 13 Angel & Porter (6th ed) 37 Example Use Table 13.7 to find the specified area. A) Above the mean. B) Between z = 0 and z = 1.00 C) Between z = and z = 0 Since the curve is symmetric about the mean, the area between the mean and a positive zscore is the same as the area between the mean and the corresponding negative z score. ch 13 Angel & Porter (6th ed) 38 Example (Cont.) D) Between z = and z = 2.00 E) Between z = 1.23 and z = 2.35 See Procedure to find the Percent of Data Between any Two Values on p. 707 Example (Cont.) F) To the right of z = 1.73 G) To the left of z = 1.08 ch 13 Angel & Porter (6th ed) 39
14 Example An instruction manual claims that the assembly time for a product is normally distributed with a mean of 4.2 hours and standard deviation 0.3 hours. A) What percentage of products will have assembly times more than 4.7 hours? B) What percentage of products will have assembly times between 3.5 hours and 3.9 hours? Remember to draw a picture for each problem! ch 13 Angel & Porter (6th ed) 40 Example The life expectancy of nondefective GE light bulbs normally distributed, with a mean life of 1500 hours and a standard deviation of 100 hours. #73 Find the percent of bulbs that will last more than 1450 hours. #74 Find the percent of bulbs that last between 1400 hours and 1550 hours. #75 Find the percent of bulbs that last less than 1480 hours. ch 13 Angel & Porter (6th ed) 41
Histograms and Frequency Polygons are statistical graphs used to illustrate frequency distributions.
Number of Families II. Statistical Graphs section 3.2 Histograms and Frequency Polygons are statistical graphs used to illustrate frequency distributions. Example: Construct a histogram for the frequency
More informationDistribution of Data and the Empirical Rule
302360_File_B.qxd 7/7/03 7:18 AM Page 1 Distribution of Data and the Empirical Rule 1 Distribution of Data and the Empirical Rule StemandLeaf Diagrams Frequency Distributions and Histograms Normal Distributions
More informationMATH 214 (NOTES) Math 214 Al Nosedal. Department of Mathematics Indiana University of Pennsylvania. MATH 214 (NOTES) p. 1/3
MATH 214 (NOTES) Math 214 Al Nosedal Department of Mathematics Indiana University of Pennsylvania MATH 214 (NOTES) p. 1/3 CHAPTER 1 DATA AND STATISTICS MATH 214 (NOTES) p. 2/3 Definitions. Statistics is
More informationAlgebra I Module 2 Lessons 1 19
Eureka Math 2015 2016 Algebra I Module 2 Lessons 1 19 Eureka Math, Published by the nonprofit Great Minds. Copyright 2015 Great Minds. No part of this work may be reproduced, distributed, modified, sold,
More informationChapter 5. Describing Distributions Numerically. Finding the Center: The Median. Spread: Home on the Range. Finding the Center: The Median (cont.
Chapter 5 Describing Distributions Numerically Copyright 2007 Pearson Education, Inc. Publishing as Pearson AddisonWesley Copyright 2007 Pearson Education, Inc. Publishing as Pearson AddisonWesley Slide
More informationChapter 1 Midterm Review
Name: Class: Date: Chapter 1 Midterm Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A survey typically records many variables of interest to the
More informationFrequencies. Chapter 2. Descriptive statistics and charts
An analyst usually does not concentrate on each individual data values but would like to have a whole picture of how the variables distributed. In this chapter, we will introduce some tools to tabulate
More informationChapter 6. Normal Distributions
Chapter 6 Normal Distributions Understandable Statistics Ninth Edition By Brase and Brase Prepared by Yixun Shi Bloomsburg University of Pennsylvania Edited by José Neville Díaz Caraballo University of
More informationMeasuring Variability for Skewed Distributions
Measuring Variability for Skewed Distributions Skewed Data and its Measure of Center Consider the following scenario. A television game show, Fact or Fiction, was canceled after nine shows. Many people
More informationNotes Unit 8: Dot Plots and Histograms
Notes Unit : Dot Plots and Histograms I. Dot Plots A. Definition A data display in which each data item is shown as a dot above a number line In a dot plot a cluster shows where a group of data points
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level *0192736882* STATISTICS 4040/12 Paper 1 October/November 2013 Candidates answer on the question paper.
More informationSTAT 113: Statistics and Society Ellen Gundlach, Purdue University. (Chapters refer to Moore and Notz, Statistics: Concepts and Controversies, 8e)
STAT 113: Statistics and Society Ellen Gundlach, Purdue University (Chapters refer to Moore and Notz, Statistics: Concepts and Controversies, 8e) Learning Objectives for Exam 1: Unit 1, Part 1: Population
More informationMATH& 146 Lesson 11. Section 1.6 Categorical Data
MATH& 146 Lesson 11 Section 1.6 Categorical Data 1 Frequency The first step to organizing categorical data is to count the number of data values there are in each category of interest. We can organize
More informationObjective: Write on the goal/objective sheet and give a before class rating. Determine the types of graphs appropriate for specific data.
Objective: Write on the goal/objective sheet and give a before class rating. Determine the types of graphs appropriate for specific data. Khan Academy test Tuesday Sept th. NO CALCULATORS allowed. Not
More informationLesson 7: Measuring Variability for Skewed Distributions (Interquartile Range)
: Measuring Variability for Skewed Distributions (Interquartile Range) Exploratory Challenge 1: Skewed Data and its Measure of Center Consider the following scenario. A television game show, Fact or Fiction,
More informationLesson 7: Measuring Variability for Skewed Distributions (Interquartile Range)
: Measuring Variability for Skewed Distributions (Interquartile Range) Student Outcomes Students explain why a median is a better description of a typical value for a skewed distribution. Students calculate
More informationBox Plots. So that I can: look at large amount of data in condensed form.
LESSON 5 Box Plots LEARNING OBJECTIVES Today I am: creating box plots. So that I can: look at large amount of data in condensed form. I ll know I have it when I can: make observations about the data based
More informationCOMP Test on Psychology 320 Check on Mastery of Prerequisites
COMP Test on Psychology 320 Check on Mastery of Prerequisites This test is designed to provide you and your instructor with information on your mastery of the basic content of Psychology 320. The results
More informationFull file at
Exam Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) A parcel delivery service lowered its prices and finds that
More informationChapter 2 Notes.notebook. June 21, : Random Samples
2.1: Random Samples Random Sample sample that is representative of the entire population. Each member of the population has an equal chance of being included in the sample. Each sample of the same size
More informationHomework Packet Week #5 All problems with answers or work are examples.
Lesson 8.1 Construct the graphical display for each given data set. Describe the distribution of the data. 1. Construct a boxandwhisker plot to display the number of miles from school that a number of
More informationKey Maths Facts to Memorise Question and Answer
Key Maths Facts to Memorise Question and Answer Ways of using this booklet: 1) Write the questions on cards with the answers on the back and test yourself. 2) Work with a friend to take turns reading a
More informationChapter 2 Describing Data: Frequency Tables, Frequency Distributions, and
Frequency Chapter 2  Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation Chapter 2 Describing Data: Frequency Tables, Frequency Distributions, and 1. PepsiCola has a
More informationCopyright 2013 Pearson Education, Inc.
Chapter 2 Test A Multiple Choice Section 2.1 (Visualizing Variation in Numerical Data) 1. [Objective: Interpret visual displays of numerical data] Each day for twenty days a record store owner counts the
More informationStatistics: A Gentle Introduction (3 rd ed.): Test Bank. 1. Perhaps the oldest presentation in history of descriptive statistics was
Chapter 2 Test Questions 1. Perhaps the oldest presentation in history of descriptive statistics was a. a frequency distribution b. graphs and tables c. a frequency polygon d. a pie chart 2. In her bar
More information6 th Grade Semester 2 Review 1) It cost me $18 to make a lamp, but I m selling it for $45. What was the percent of increase in price?
6 th Grade Semester 2 Review 1) It cost me $18 to make a lamp, but I m selling it for $45. What was the percent of increase in price? 2) Tom's weekly salary changed from $240 to $288. What was the percent
More informationMath 81 Graphing. Cartesian Coordinate System Plotting Ordered Pairs (x, y) (x is horizontal, y is vertical) center is (0,0) Quadrants:
Math 81 Graphing Cartesian Coordinate System Plotting Ordered Pairs (x, y) (x is horizontal, y is vertical) center is (0,0) Ex 1. Plot and indicate which quadrant they re in. A (0,2) B (3, 5) C (2, 4)
More informationdownload instant at
13 Introductory Statistics (IS) / Elementary Statistics (ES): Chapter 2 Form A Exam Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Classify the
More informationWhy t? TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson
Math Objectives Students will recognize that when the population standard deviation is unknown, it must be estimated from the sample in order to calculate a standardized test statistic. Students will recognize
More informationAP Statistics Sampling. Sampling Exercise (adapted from a document from the NCSSM Leadership Institute, July 2000).
AP Statistics Sampling Name Sampling Exercise (adapted from a document from the NCSSM Leadership Institute, July 2000). Problem: A farmer has just cleared a field for corn that can be divided into 100
More informationAskDrCallahan Calculus 1 Teacher s Guide
AskDrCallahan Calculus 1 Teacher s Guide 3rd Edition rev 080108 Dale Callahan, Ph.D., P.E. Lea Callahan, MSEE, P.E. Copyright 2008, AskDrCallahan, LLC v3r080108 www.askdrcallahan.com 2 Welcome to AskDrCallahan
More informationMargin of Error. p(1 p) n 0.2(0.8) 900. Since about 95% of the data will fall within almost two standard deviations, we will use the formula
Name Margin of Error A survey of a sample population gathers information from a few people and then the results are used to reflect the opinions of a larger population. The reason that researchers and
More informationEXPLORING DISTRIBUTIONS
CHAPTER 2 EXPLORING DISTRIBUTIONS 18 16 14 12 Frequency 1 8 6 4 2 54 56 58 6 62 64 66 68 7 72 74 Female Heights What does the distribution of female heights look like? Statistics gives you the tools to
More informationMATH 214 (NOTES) Math 214 Al Nosedal. Department of Mathematics Indiana University of Pennsylvania. MATH 214 (NOTES) p. 1/11
MATH 214 (NOTES) Math 214 Al Nosedal Department of Mathematics Indiana University of Pennsylvania MATH 214 (NOTES) p. 1/11 CHAPTER 6 CONTINUOUS PROBABILITY DISTRIBUTIONS MATH 214 (NOTES) p. 2/11 Simple
More informationDot Plots and Distributions
EXTENSION Dot Plots and Distributions A dot plot is a data representation that uses a number line and x s, dots, or other symbols to show frequency. Dot plots are sometimes called line plots. E X A M P
More informationWhen do two squares make a new square
45 # THREE SQUARES When do two squares make a new square? Figure This! Can you make a new square from two squares? Hint: Cut two squares from a sheet of paper and tape them together as in the diagram.
More informationUNIVERSITY OF MASSACHUSETTS Department of Biostatistics and Epidemiology BioEpi 540W  Introduction to Biostatistics Fall 2002
1 UNIVERSITY OF MASSACHUSETTS Department of Biostatistics and Epidemiology BioEpi 540W  Introduction to Biostatistics Fall 2002 Exercises Unit 2 Descriptive Statistics Tables and Graphs Due: Monday September
More informationQ1. In a division sum, the divisor is 4 times the quotient and twice the remainder. If and are respectively the divisor and the dividend, then (a)
Q1. In a division sum, the divisor is 4 times the quotient and twice the remainder. If and are respectively the divisor and the dividend, then (a) 3 (c) a 1 4b (b) 2 (d) Q2. If is divisible by 11, then
More informationSection 5.2: Organizing and Graphing Categorical
Section 5.2: Organizing and Graphing Categorical Data Objective: Create a frequency table. Data is being collected all the time by businesses, governments, and researchers. The data can range from small
More informationChapter 4. Displaying Quantitative Data. Copyright 2007 Pearson Education, Inc. Publishing as Pearson AddisonWesley
Chapter 4 Displaying Quantitative Data Copyright 2007 Pearson Education, Inc. Publishing as Pearson AddisonWesley Dealing With a Lot of Numbers Summarizing the data will help us when we look at large
More informationEstimation of interrater reliability
Estimation of interrater reliability January 2013 Note: This report is best printed in colour so that the graphs are clear. Vikas Dhawan & Tom Bramley ARD Research Division Cambridge Assessment Ofqual/13/5260
More informationEstimating. Proportions with Confidence. Chapter 10. Copyright 2006 Brooks/Cole, a division of Thomson Learning, Inc.
Estimating Chapter 10 Proportions with Confidence Copyright 2006 Brooks/Cole, a division of Thomson Learning, Inc. Principal Idea: Survey 150 randomly selected students and 41% think marijuana should be
More informationAP Statistics Sec 5.1: An Exercise in Sampling: The Corn Field
AP Statistics Sec.: An Exercise in Sampling: The Corn Field Name: A farmer has planted a new field for corn. It is a rectangular plot of land with a river that runs along the right side of the field. The
More informationPage Iix / Lab Notebooks, Lab Reports, Graphs, Parts Per Thousand Information on Lab Notebooks, Lab Reports and Graphs
Page Iix / Lab Notebooks, Lab Reports, Graphs, Parts Per Thousand Information on Lab Notebooks, Lab Reports and Graphs Lab Notebook: Each student is required to purchase a composition notebook (similar
More informationChapter 21. Margin of Error. Intervals. Asymmetric Boxes Interpretation Examples. Chapter 21. Margin of Error
Context Part VI Sampling Accuracy of Percentages Previously, we assumed that we knew the contents of the box and argued about chances for the draws based on this knowledge. In survey work, we frequently
More informationRelationships Between Quantitative Variables
Chapter 5 Relationships Between Quantitative Variables Three Tools we will use Scatterplot, a twodimensional graph of data values Correlation, a statistic that measures the strength and direction of a
More informationT HE M AGIC OF G RAPHS AND S TATISTICS
p01.qxd 10/29/03 9:25 AM Page 1 I T HE M AGIC OF G RAPHS AND S TATISTICS It s hard to get through a day without seeing a graph or chart somewhere, whether you re reading a newspaper or a magazine, watching
More informationAnswers. Chapter 9 A Puzzle Time MUSSELS. 9.1 Practice A. Technology Connection. 9.1 Start Thinking! 9.1 Warm Up. 9.1 Start Thinking!
. Puzzle Time MUSSELS Technolog Connection.. 7.... in. Chapter 9 9. Start Thinking! For use before Activit 9. Number of shoes x Person 9. Warm Up For use before Activit 9.. 9. Start Thinking! For use before
More information9.2 Data Distributions and Outliers
Name Class Date 9.2 Data Distributions and Outliers Essential Question: What statistics are most affected by outliers, and what shapes can data distributions have? Eplore Using Dot Plots to Display Data
More informationAGAINST ALL ODDS EPISODE 22 SAMPLING DISTRIBUTIONS TRANSCRIPT
AGAINST ALL ODDS EPISODE 22 SAMPLING DISTRIBUTIONS TRANSCRIPT 1 FUNDER CREDITS Funding for this program is provided by Annenberg Learner. 2 INTRO Pardis Sabeti Hi, I m Pardis Sabeti and this is Against
More informationE X P E R I M E N T 1
E X P E R I M E N T 1 Getting to Know Data Studio Produced by the Physics Staff at Collin College Copyright Collin College Physics Department. All Rights Reserved. University Physics, Exp 1: Getting to
More informationMath 7 /Unit 07 Practice Test: Collecting, Displaying and Analyzing Data
Math 7 /Unit 07 Practice Test: Collecting, Displaying and Analyzing Data Name: Date: Define the terms below and give an example. 1. mode 2. range 3. median 4. mean 5. Which data display would be used to
More informationRelationships. Between Quantitative Variables. Chapter 5. Copyright 2006 Brooks/Cole, a division of Thomson Learning, Inc.
Relationships Chapter 5 Between Quantitative Variables Copyright 2006 Brooks/Cole, a division of Thomson Learning, Inc. Three Tools we will use Scatterplot, a twodimensional graph of data values Correlation,
More informationd. Could you represent the profit for n copies in other different ways?
Special Topics: U3. L3. Inv 1 Name: Homework: Math XL Unit 3 HW 9/2810/2 (Due Friday, 10/2, by 11:59 pm) Lesson Target: Write multiple expressions to represent a variable quantity from a real world situation.
More informationEvaluating Oscilloscope Mask Testing for Six Sigma Quality Standards
Evaluating Oscilloscope Mask Testing for Six Sigma Quality Standards Application Note Introduction Engineers use oscilloscopes to measure and evaluate a variety of signals from a range of sources. Oscilloscopes
More informationNAA ENHANCING THE QUALITY OF MARKING PROJECT: THE EFFECT OF SAMPLE SIZE ON INCREASED PRECISION IN DETECTING ERRANT MARKING
NAA ENHANCING THE QUALITY OF MARKING PROJECT: THE EFFECT OF SAMPLE SIZE ON INCREASED PRECISION IN DETECTING ERRANT MARKING Mudhaffar AlBayatti and Ben Jones February 00 This report was commissioned by
More informationLecture 10: Release the Kraken!
Lecture 10: Release the Kraken! Last time We considered some simple classical probability computations, deriving the socalled binomial distribution  We used it immediately to derive the mathematical
More informationSampling Plans. Sampling Plan  Variable Physical Unit Sample. Sampling Application. Sampling Approach. Universe and Frame Information
Sampling Plan  Variable Physical Unit Sample Sampling Application AUDIT TYPE: REVIEW AREA: SAMPLING OBJECTIVE: Sampling Approach Type of Sampling: Why Used? Check All That Apply: Confidence Level: Desired
More informationGetting Started. Connect green audio output of SpikerBox/SpikerShield using green cable to your headphones input on iphone/ipad.
Getting Started First thing you should do is to connect your iphone or ipad to SpikerBox with a green smartphone cable. Green cable comes with designators on each end of the cable ( Smartphone and SpikerBox
More informationChapter 27. Inferences for Regression. Remembering Regression. An Example: Body Fat and Waist Size. Remembering Regression (cont.)
Chapter 27 Inferences for Regression Copyright 2007 Pearson Education, Inc. Publishing as Pearson AddisonWesley Slide 271 Copyright 2007 Pearson Education, Inc. Publishing as Pearson AddisonWesley An
More informationSampling Worksheet: Rolling Down the River
Sampling Worksheet: Rolling Down the River Name: Part I A farmer has just cleared a new field for corn. It is a unique plot of land in that a river runs along one side. The corn looks good in some areas
More informationFor the SIA. Applications of Propagation Delay & Skew tool. Introduction. Theory of Operation. Propagation Delay & Skew Tool
For the SIA Applications of Propagation Delay & Skew tool Determine signal propagation delay time Detect skewing between channels on rising or falling edges Create histograms of different edge relationships
More informationBootstrap Methods in Regression Questions Have you had a chance to try any of this? Any of the review questions?
ICPSR Blalock Lectures, 2003 Bootstrap Resampling Robert Stine Lecture 3 Bootstrap Methods in Regression Questions Have you had a chance to try any of this? Any of the review questions? Getting class notes
More informationTable of Contents. Introduction...v. About the CDROM...vi. Standards Correlations... vii. Ratios and Proportional Relationships...
Table of Contents Introduction...v About the CDROM...vi Standards Correlations... vii Ratios and Proportional Relationships... 1 The Number System... 10 Expressions and Equations... 23 Geometry... 27
More informationUser Guide. SCurve Tool
User Guide for SCurve Tool Version 1.0 (as of 09/12/12) Sponsored by: Naval Center for Cost Analysis (NCCA) Developed by: Technomics, Inc. 201 12 th Street South, Suite 612 Arlington, VA 22202 Points
More informationN12/5/MATSD/SP2/ENG/TZ0/XX. mathematical STUDIES. Wednesday 7 November 2012 (morning) 1 hour 30 minutes. instructions to candidates
88127402 mathematical STUDIES STANDARD level Paper 2 Wednesday 7 November 2012 (morning) 1 hour 30 minutes instructions to candidates Do not open this examination paper until instructed to do so. A graphic
More informationMobile Math Teachers Circle The Return of the iclicker
Mobile Math Teachers Circle The Return of the iclicker June 20, 2016 1. Dr. Spock asked his class to solve a percent problem, Julia set up the proportion: 4/5 = x/100. She then crossmultiplied to solve
More informationChapter 7: RV's & Probability Distributions
Chapter 7: RV's & Probability Distributions Name 1. Professor Mean is planning the big Statistics Department Super Bowl party. Statisticians take pride in their variability, and it is not certain what
More informationA Comparison of Methods to Construct an Optimal Membership Function in a Fuzzy Database System
Virginia Commonwealth University VCU Scholars Compass Theses and Dissertations Graduate School 2006 A Comparison of Methods to Construct an Optimal Membership Function in a Fuzzy Database System Joanne
More informationVersion : 27 June General Certificate of Secondary Education June Foundation Unit 1. Final. Mark Scheme
Version : 27 June 202 General Certificate of Secondary Education June 202 Mathematics Foundation Unit 4360F Final Mark Scheme Mark schemes are prepared by the Principal Examiner and considered, together
More informationMeasurement User Guide
N4906 91040 Measurement User Guide The Serial BERT offers several different kinds of advanced measurements for various purposes: DUT Output Timing/Jitter This type of measurement is used to measure the
More informationChapter 7 Probability
Chapter 7 Probability Copyright 2006 Brooks/Cole, a division of Thomson Learning, Inc. 7.1 Random Circumstances Random circumstance is one in which the outcome is unpredictable. Case Study 1.1 Alicia Has
More informationCongratulations to the Bureau of Labor Statistics for Creating an Excellent Graph By Jeffrey A. Shaffer 12/16/2011
Congratulations to the Bureau of Labor Statistics for Creating an Excellent Graph By Jeffrey A. Shaffer 12/16/2011 The Bureau of Labor Statistics (BLS) has published some really bad graphs and maps over
More informationSTAT 250: Introduction to Biostatistics LAB 6
STAT 250: Introduction to Biostatistics LAB 6 Dr. Kari Lock Morgan Sampling Distributions In this lab, we ll explore sampling distributions using StatKey: www.lock5stat.com/statkey. We ll be using StatKey,
More informationComparing Distributions of Univariate Data
. Chapter 3 Comparing Distributions of Univariate Data Topic 9 covers comparing data and constructing multiple univariate plots. Topic 9 Multiple Univariate Plots Example: Building heights in Philadelphia,
More informationFor these exercises, use SAS data sets stored in a permanent SAS data library.
Exercises 9 For these exercises, use SAS data sets stored in a permanent SAS data library. Fill in the blank with the location of your SAS data library. If you have started a new SAS session since the
More informationStatistics for Engineers
Statistics for Engineers ChE 4C3 and 6C3 Kevin Dunn, 2013 kevin.dunn@mcmaster.ca http://learnche.mcmaster.ca/4c3 Overall revision number: 19 (January 2013) 1 Copyright, sharing, and attribution notice
More informationNorthern Dakota County Cable Communications Commission ~
Northern Dakota County Cable Communications Commission ~ Cable Subscriber Survey April 2014 This document presents data, analysis and interpretation of study findings by Group W Communications, L.L.C.
More informationJumpstarters for Math
Jumpstarters for Math Short Daily Warmups for the Classroom By CINDY BARDEN COPYRIGHT 2005 Mark Twain Media, Inc. ISBN 10digit: 158037297X 13digit: 9781580372978 Printing No. CD404023 Mark Twain
More informationThe Measurement Tools and What They Do
2 The Measurement Tools The Measurement Tools and What They Do JITTERWIZARD The JitterWizard is a unique capability of the JitterPro package that performs the requisite scope setup chores while simplifying
More informationLecture 2 Video Formation and Representation
2013 Spring Term 1 Lecture 2 Video Formation and Representation WenHsiao Peng ( 彭文孝 ) Multimedia Architecture and Processing Lab (MAPL) Department of Computer Science National Chiao Tung University 1
More informationMore About Regression
Regression Line for the Sample Chapter 14 More About Regression is spoken as yhat, and it is also referred to either as predicted y or estimated y. b 0 is the intercept of the straight line. The intercept
More informationSampler Overview. Statistical Demonstration Software Copyright 2007 by Clifford H. Wagner
Sampler Overview Statistical Demonstration Software Copyright 2007 by Clifford H. Wagner (w44@psu.edu) Introduction The philosophy behind Sampler is that students learn mathematics and statistics more
More informationBite Size Brownies. Designed by: Jonathan Thompson George Mason University, COMPLETE Math
Bite Size Brownies Designed by: Jonathan Thompson George Mason University, COMPLETE Math The Task Mr. Brown E. Pan recently opened a new business making brownies called The Brown E. Pan. On his first day
More informationSuppose you make $1000 a week. Your company is in dire straits, and so you have to take a 50% pay cut.
Station #5 Statisticulation Read the following joke: A man goes to a roadside diner where the special is "Rabbit Stew." He asks the waiter whether it really is rabbit in the stew. "Well, actually it's
More informationPS User Guide Series SeismicData Display
PS User Guide Series 2015 SeismicData Display Prepared By Choon B. Park, Ph.D. January 2015 Table of Contents Page 1. File 2 2. Data 2 2.1 Resample 3 3. Edit 4 3.1 Export Data 4 3.2 Cut/Append Records
More informationTIInspire manual 1. Real old version. This version works well but is not as convenient entering letter
TIInspire manual 1 Newest version Older version Real old version This version works well but is not as convenient entering letter Instructions TIInspire manual 1 General Introduction TiInspire for statistics
More informationIntroductory Statistics. Lecture 1 Sinan Hanay
Introductory Statistics Lecture 1 Sinan Hanay Image: wikipedia.org There are three kinds of lies: Image: wikipedia.org There are three kinds of lies: lies, Image: wikipedia.org There are three kinds of
More informationMachine Vision System for Color Sorting Wood EdgeGlued Panel Parts
Machine Vision System for Color Sorting Wood EdgeGlued Panel Parts Q. Lu, S. Srikanteswara, W. King, T. Drayer, R. Conners, E. Kline* The Bradley Department of Electrical and Computer Eng. *Department
More informationDIFFERENTIATE SOMETHING AT THE VERY BEGINNING THE COURSE I'LL ADD YOU QUESTIONS USING THEM. BUT PARTICULAR QUESTIONS AS YOU'LL SEE
1 MATH 16A LECTURE. OCTOBER 28, 2008. PROFESSOR: SO LET ME START WITH SOMETHING I'M SURE YOU ALL WANT TO HEAR ABOUT WHICH IS THE MIDTERM. THE NEXT MIDTERM. IT'S COMING UP, NOT THIS WEEK BUT THE NEXT WEEK.
More informationRelease Year Prediction for Songs
Release Year Prediction for Songs [CSE 258 Assignment 2] Ruyu Tan University of California San Diego PID: A53099216 rut003@ucsd.edu Jiaying Liu University of California San Diego PID: A53107720 jil672@ucsd.edu
More informationMITOCW big_picture_integrals_512kbmp4
MITOCW big_picture_integrals_512kbmp4 PROFESSOR: Hi. Well, if you're ready, this will be the other big side of calculus. We still have two functions, as before. Let me call them the height and the slope:
More informationx) Graph the function
1) If and, find and 2) If, find 3) Use the definition of logarithms to rewrite this equation in exponential form: 4) Expand 5) a) Evaluate and show how you got the answer without a calculator. b) Evaluate
More informationBlueline, Linefree, Accuracy Ratio, & Moving Absolute Mean Ratio Charts
INTRODUCTION This instruction manual describes for users of the Excel Standard Celeration Template(s) the features of each page or worksheet in the template, allowing the user to set up and generate charts
More informationSample Analysis Design. Element2  Basic Software Concepts (cont d)
Sample Analysis Design Element2  Basic Software Concepts (cont d) Samples per Peak In order to establish a minimum level of precision, the ion signal (peak) must be measured several times during the scan
More information6.5 Percussion scalograms and musical rhythm
6.5 Percussion scalograms and musical rhythm 237 1600 566 (a) (b) 200 FIGURE 6.8 Timefrequency analysis of a passage from the song Buenos Aires. (a) Spectrogram. (b) Zooming in on three octaves of the
More informationMoving on from MSTAT. March The University of Reading Statistical Services Centre Biometrics Advisory and Support Service to DFID
Moving on from MSTAT March 2000 The University of Reading Statistical Services Centre Biometrics Advisory and Support Service to DFID Contents 1. Introduction 3 2. Moving from MSTAT to Genstat 4 2.1 Analysis
More informationThe One Penny Whiteboard
The One Penny Whiteboard Ongoing, in the moment assessments may be the most powerful tool teachers have for improving student performance. For students to get better at anything, they need lots of quick
More informationPrecision testing methods of Event Timer A032ET
Precision testing methods of Event Timer A032ET Event Timer A032ET provides extreme precision. Therefore exact determination of its characteristics in commonly accepted way is impossible or, at least,
More informationTeeJay Publishers. Curriculum for Excellence. Course Planner  Level 1
TeeJay Publishers Curriculum for Excellence Course Planner Level 1 To help schools develop their courses, TeeJay Publishers has produced a Course Planner for CfE Level 1. This Planner from TeeJay provides
More information