EXAM #1 (Example) Instructor: Ela Jackiewicz. Relax and good luck!


 Brook Blake
 2 years ago
 Views:
Transcription
1 STP 231 EXAM #1 (Example) Instructor: Ela Jackiewicz Honor Statement: I have neither given nor received information regarding this exam, and I will not do so until all exams have been graded and returned. PRINTED NAME: Signed Date: DIRECTIONS: This is a closed book examination. You may use a graphing calculator and one 8x11 page with hand written notes, no completely solved problems are allowed. Turn in the notes with your exam. Formulas and tables are provided on the back of the test. There are 16 questions. For Questions#1 #6 provide complete and well organized answers showing all your work! Answers without supporting work will get no credit. Questions#7 #15 are multiple choice. Select appropriate letter answer (A to E as appropriate) and place your answer in the table provided below. Last problem is for Extra Credit, select True or False for each of 5 parts. Relax and good luck! Use table below to write letter answers (A E as appropriate) to questions 7 15, and circle True or False for Extra Credit Questions A E Question#7 Question#8 Question#9 Question#10 Question#11 Question#12 C C D C B B Question#13 Question#14 Question#15 A C E Extra Credit Questions: A) False B) True C) True D) False E) True
2 Use following information for questions #1 and #2 The IQ test scores for a random sample of 10 fifth grade students are: 96,, 118, 120, 122, 125, 126, 130, 135, 138 Question #1 ( 8 points) Give the 5 number summary of the data (MIN, MAX, Median, Q1 and Q3) and make a box plot. Use a line below to mark a proper scale. MIN= 96 Q1= 118 Median= Q3= 130 MAX= Question #2 (8 points) Check if there are any outliers in the data, by using IQR. List potential outliers, if there are no outliers, state it. Show all work, clearly justify your answer! IQR=12 1.5(12)=18 Lower Fence= =100 Upper fence=130+18= is below lower fence=potential outlier Question #3 (8 points) Use tables to compute 90 th percentile of N(5,2) curve. Clearly show work, include appropriate sketch. Sketch should represent a normal curve centered at 5, y=marked point above 5, You should show that area shaded left of y=90% (0.9) SKETCH: ANSWER: z=1.28, y=5+1.28(2)=7.56
3 Use following information in Questions #4 and #5 The distribution of scores for persons over 16 years of age on the Wechsler Adult Intelligence Scale (WAIS) is approximately normal with mean 100 and standard deviation 19. The WAIS is one of the most common IQ tests for adults. Question#4(8 points)what percentage of the persons over 16 have a WAIS score between 60 and 120? Include appropriate sketch illustrating your answer. Sketch should represent a normal curve centered at 100, y1=60 and y2=120 =marked points below and above 100. You should show that your answer=area shaded between 60 and 120 z1= 2.11 z2= = SKETCH: ANSWER: 83.57% Question#5(8 points) Suppose Y is a WAIS score of a randomly chosen individual over 16, what is the probability P(Y>130)? Include appropriate sketch illustration your answer. Sketch should represent a normal curve centered at 100, y=130 =marked point above 100. You should show that your answer=area shaded above 130. z=1.58 area= SKETCH: ANSWER: Question#6 (6 points)based on a large sample, Average North American newborn is on average 20 inches long with standard deviation of 1.12 inch and has average weight of 7.5 pounds with standard deviation 1.25 pounds. Compute Coefficient of Variation for each measure and use it to answer the following question: Which of the two measures (length or weight) has greater variability? Coefficients of variation: Length 5.6% Weight: 16.7% Weight has greater variability
4 Questions #7 #15, 6 points each, are multiple choice, select a correct response and mark a letter of that response in the table given on the front page. Use the same table to mark T or F responses for Extra Credit Problem #16 Question#7 (6 points) The National Cancer Institute estimates that 3.65% of women in their 60 s get breast cancer. A mammogram can correctly identify 85% of cancer cases (positive test) and 95% of cases without cancer (negative test), which means we get false negative 15% of the time and false positive 5% of the time. Compute probability that randomly selected women in her 60 s will have a positive test for a breast cancer. Round to 2 decimal places A) 0.90 B) 0.85 C) 0.08 D) 0.03 E) none of these Use following information for questions #8 and #9 The probability model for response Y = In the past seven days, how many times did you go to a fitness center to work out? Y=Days Probability Question#8 ( 6 points) Compute the probability P(Y < 3 or Y > 5) A) 0.93 B) 0.96 C) 0.85 D) 0.15 E) none of these Question#9 ( 6 points) Compute mean (expected value ) of a random variable Y, round answer to 2 decimal places A)0.14 B) 1.68 C) 0.21 D) 1.12 E) none of these Use following data for questions #10 and #11 Consider the following stem & leaf diagram of the data it represents. There are 41 observations Data : Mercury Content (in the hair) of Seychelles Fishermen Stems: tens leaves: ones Question#10 ( 6 points) Which of the following best describes the shape of the distribution? Select one. A) Bell shape B) Uniform C) Right skewed D) Bimodal E) Symmetric Question#11 ( 6 points) Compute the median of this data. A) 5 B) 25 C) D) 21 E) none of these
5 Use table below for questions #12 #13 The following table summarizes blood types and Rh types for typical people. Suppose one person is randomly selected. Compute following probabilities, round answers to 4 decimal places. Blood Type O A B AB total Rh positive Rh negative total Question #12 ( 6 points) Compute probability that this person does not have blood type B A) 13 B) 97 C) 90 D) none of these Question #13 ( 6 points) Compute probability that that this person has blood type AB or is Rh positive. A) 93 B) 98 C) 5 D) none of these Use following information for questions #14, and #15 9% of men cannot distinguish between the colors red and green. If 8 men are randomly selected for a study of traffic signal perception, compute the following probabilities, round answers to 4 decimal places, if needed. Question #14 ( 6 points) Compute probability that exactly three of the men cannot distinguish between the colors red and green A) 0.09 B) 0.27 C) D) E) Question #15 ( 6 points) Compute probability that at least two of the men cannot distinguish between the colors red and green A) 0.18 B) C) D) E) Extra Credit Questions (5 points) Decide if statements below are true or false A) Sample standard deviation and sample mean are robust measures; they are resistant to outliers. B) Suppose test scores in a large sample of Mat 117 students have nearly bell shaped distribution with mean of 70 points and standard deviation of 10 points. According to Empirical Rule we can expect about 95% of all test scores to be between 50 and 90 points C) If we compare two histograms representing distribution of the same variable in the same scale, wider histogram will indicate higher variability. D) We do not expect any error when we estimate a population parameter from a sample statistics E)It is possible that median of a data set is not an actual observation.
6 n y i FORMULAS Sample statistics Sample mean:, Sample standard deviation (definition) y = n Sample variance= s 2 Range=Max Min s = n (y i y ) 2 n 1 Interquartile Range IQR= Q 3 Q 1, Lower Fence =Q1 1.5(IQR), Upper Fence=Q3+1.5(IQR) Coefficient of variation= s y 100% Population parameters: N Population mean: y i μ= N Standard score or z score z = y μ σ Population standard deviation: σ = N ( y i μ) 2 N Random Variables n μ Y = y i P (Y =y i )= y i p i μ Y =np for Binomial Y Probability 0 P E 1 P E c =1 P E P E 1 or E 2 =P E 1 P E 2 P E 1 and E 2 P E 1 and E 2 =P E 1 P E 2 Conditional probability P E 2 / E 1 = P E 1 and E 2 P E 1 for independent events only Binomial Distribution Formula n! P Y =k =C n,k p k 1 p n k, nck=c n,k = n k!k!
7
8
13.2 Measures of Central Tendency
13.2 Measures of Central Tendency Measures of Central Tendency For a given set of numbers, it may be desirable to have a single number to serve as a kind of representative value around which all the numbers
More informationDensity Curve. A density curve is the graph of a continuous probability distribution. It must satisfy the following properties:
Density Curve A density curve is the graph of a continuous probability distribution. It must satisfy the following properties: 1. The total area under the curve must equal 1. 2. Every point on the curve
More informationThe Normal Distribution
Chapter 6 The Normal Distribution 6.1 The Normal Distribution 1 6.1.1 Student Learning Objectives By the end of this chapter, the student should be able to: Recognize the normal probability distribution
More informationExploratory data analysis (Chapter 2) Fall 2011
Exploratory data analysis (Chapter 2) Fall 2011 Data Examples Example 1: Survey Data 1 Data collected from a Stat 371 class in Fall 2005 2 They answered questions about their: gender, major, year in school,
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) (a) 3 (b) 51
Chapter 2 Problems to look at Use the given frequency distribution to find the (a) class width. (b) class midpoints of the first class. (c) class boundaries of the first class. 1) Height (in inches) 1)
More informationHomework 3. Part 1. Name: Score: / null
Name: Score: / Homework 3 Part 1 null 1 For the following sample of scores, the standard deviation is. Scores: 7, 2, 4, 6, 4, 7, 3, 7 Answer Key: 2 2 For any set of data, the sum of the deviation scores
More informationDescriptive statistics Statistical inference statistical inference, statistical induction and inferential statistics
Descriptive statistics is the discipline of quantitatively describing the main features of a collection of data. Descriptive statistics are distinguished from inferential statistics (or inductive statistics),
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) (a) 2 (b) 1
Unit 2 Review Name Use the given frequency distribution to find the (a) class width. (b) class midpoints of the first class. (c) class boundaries of the first class. 1) Miles (per day) 12 9 34 22 56
More informationChapter 2: Exploring Data with Graphs and Numerical Summaries. Graphical Measures Graphs are used to describe the shape of a data set.
Page 1 of 16 Chapter 2: Exploring Data with Graphs and Numerical Summaries Graphical Measures Graphs are used to describe the shape of a data set. Section 1: Types of Variables In general, variable can
More information1) What is the probability that the random variable has a value greater than 2? A) 0.750 B) 0.625 C) 0.875 D) 0.700
Practice for Chapter 6 & 7 Math 227 This is merely an aid to help you study. The actual exam is not multiple choice nor is it limited to these types of questions. Using the following uniform density curve,
More informationNumerical Measures of Central Tendency
Numerical Measures of Central Tendency Often, it is useful to have special numbers which summarize characteristics of a data set These numbers are called descriptive statistics or summary statistics. A
More information3.2 Measures of Spread
3.2 Measures of Spread In some data sets the observations are close together, while in others they are more spread out. In addition to measures of the center, it's often important to measure the spread
More informationChapter 3 Descriptive Statistics: Numerical Measures. Learning objectives
Chapter 3 Descriptive Statistics: Numerical Measures Slide 1 Learning objectives 1. Single variable Part I (Basic) 1.1. How to calculate and use the measures of location 1.. How to calculate and use the
More informationSection 1.3 Exercises (Solutions)
Section 1.3 Exercises (s) 1.109, 1.110, 1.111, 1.114*, 1.115, 1.119*, 1.122, 1.125, 1.127*, 1.128*, 1.131*, 1.133*, 1.135*, 1.137*, 1.139*, 1.145*, 1.146148. 1.109 Sketch some normal curves. (a) Sketch
More informationChapter 2. Objectives. Tabulate Qualitative Data. Frequency Table. Descriptive Statistics: Organizing, Displaying and Summarizing Data.
Objectives Chapter Descriptive Statistics: Organizing, Displaying and Summarizing Data Student should be able to Organize data Tabulate data into frequency/relative frequency tables Display data graphically
More informationChapter 1: Looking at Data Section 1.1: Displaying Distributions with Graphs
Types of Variables Chapter 1: Looking at Data Section 1.1: Displaying Distributions with Graphs Quantitative (numerical)variables: take numerical values for which arithmetic operations make sense (addition/averaging)
More informationLecture 1: Review and Exploratory Data Analysis (EDA)
Lecture 1: Review and Exploratory Data Analysis (EDA) Sandy Eckel seckel@jhsph.edu Department of Biostatistics, The Johns Hopkins University, Baltimore USA 21 April 2008 1 / 40 Course Information I Course
More informationAP Statistics Solutions to Packet 2
AP Statistics Solutions to Packet 2 The Normal Distributions Density Curves and the Normal Distribution Standard Normal Calculations HW #9 1, 2, 4, 68 2.1 DENSITY CURVES (a) Sketch a density curve that
More informationconsider the number of math classes taken by math 150 students. how can we represent the results in one number?
ch 3: numerically summarizing data  center, spread, shape 3.1 measure of central tendency or, give me one number that represents all the data consider the number of math classes taken by math 150 students.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
STATISTICS/GRACEY PRACTICE TEST/EXAM 2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identify the given random variable as being discrete or continuous.
More informationDescribing Data. We find the position of the central observation using the formula: position number =
HOSP 1207 (Business Stats) Learning Centre Describing Data This worksheet focuses on describing data through measuring its central tendency and variability. These measurements will give us an idea of what
More information3.1 Measures of central tendency: mode, median, mean, midrange Dana Lee Ling (2012)
3.1 Measures of central tendency: mode, median, mean, midrange Dana Lee Ling (2012) Mode The mode is the value that occurs most frequently in the data. Spreadsheet programs such as Microsoft Excel or OpenOffice.org
More information103 Measures of Central Tendency and Variation
103 Measures of Central Tendency and Variation So far, we have discussed some graphical methods of data description. Now, we will investigate how statements of central tendency and variation can be used.
More informationDescriptive Statistics
Y520 Robert S Michael Goal: Learn to calculate indicators and construct graphs that summarize and describe a large quantity of values. Using the textbook readings and other resources listed on the web
More informationSession 1.6 Measures of Central Tendency
Session 1.6 Measures of Central Tendency Measures of location (Indices of central tendency) These indices locate the center of the frequency distribution curve. The mode, median, and mean are three indices
More informationCh. 3.1 # 3, 4, 7, 30, 31, 32
Math Elementary Statistics: A Brief Version, 5/e Bluman Ch. 3. # 3, 4,, 30, 3, 3 Find (a) the mean, (b) the median, (c) the mode, and (d) the midrange. 3) High Temperatures The reported high temperatures
More informationAP * Statistics Review. Descriptive Statistics
AP * Statistics Review Descriptive Statistics Teacher Packet Advanced Placement and AP are registered trademark of the College Entrance Examination Board. The College Board was not involved in the production
More informationSection 3.1 Measures of Central Tendency: Mode, Median, and Mean
Section 3.1 Measures of Central Tendency: Mode, Median, and Mean One number can be used to describe the entire sample or population. Such a number is called an average. There are many ways to compute averages,
More informationKey Concept. Density Curve
MAT 155 Statistical Analysis Dr. Claude Moore Cape Fear Community College Chapter 6 Normal Probability Distributions 6 1 Review and Preview 6 2 The Standard Normal Distribution 6 3 Applications of Normal
More informationReport of for Chapter 2 pretest
Report of for Chapter 2 pretest Exam: Chapter 2 pretest Category: Organizing and Graphing Data 1. "For our study of driving habits, we recorded the speed of every fifth vehicle on Drury Lane. Nearly every
More information4. Continuous Random Variables, the Pareto and Normal Distributions
4. Continuous Random Variables, the Pareto and Normal Distributions A continuous random variable X can take any value in a given range (e.g. height, weight, age). The distribution of a continuous random
More informationVariables. Exploratory Data Analysis
Exploratory Data Analysis Exploratory Data Analysis involves both graphical displays of data and numerical summaries of data. A common situation is for a data set to be represented as a matrix. There is
More informationDescriptive Statistics. Frequency Distributions and Their Graphs 2.1. Frequency Distributions. Chapter 2
Chapter Descriptive Statistics.1 Frequency Distributions and Their Graphs Frequency Distributions A frequency distribution is a table that shows classes or intervals of data with a count of the number
More informationDescriptive Statistics. Purpose of descriptive statistics Frequency distributions Measures of central tendency Measures of dispersion
Descriptive Statistics Purpose of descriptive statistics Frequency distributions Measures of central tendency Measures of dispersion Statistics as a Tool for LIS Research Importance of statistics in research
More informationGCSE HIGHER Statistics Key Facts
GCSE HIGHER Statistics Key Facts Collecting Data When writing questions for questionnaires, always ensure that: 1. the question is worded so that it will allow the recipient to give you the information
More information5/31/2013. 6.1 Normal Distributions. Normal Distributions. Chapter 6. Distribution. The Normal Distribution. Outline. Objectives.
The Normal Distribution C H 6A P T E R The Normal Distribution Outline 6 1 6 2 Applications of the Normal Distribution 6 3 The Central Limit Theorem 6 4 The Normal Approximation to the Binomial Distribution
More information2. Here is a small part of a data set that describes the fuel economy (in miles per gallon) of 2006 model motor vehicles.
Math 1530017 Exam 1 February 19, 2009 Name Student Number E There are five possible responses to each of the following multiple choice questions. There is only on BEST answer. Be sure to read all possible
More informationChapter 3: Data Description Numerical Methods
Chapter 3: Data Description Numerical Methods Learning Objectives Upon successful completion of Chapter 3, you will be able to: Summarize data using measures of central tendency, such as the mean, median,
More informationExploratory Data Analysis
Exploratory Data Analysis Johannes Schauer johannes.schauer@tugraz.at Institute of Statistics Graz University of Technology Steyrergasse 17/IV, 8010 Graz www.statistics.tugraz.at February 12, 2008 Introduction
More informationChapter 2. The Normal Distribution
Chapter 2 The Normal Distribution Lesson 21 Density Curve Review Graph the data Calculate a numerical summary of the data Describe the shape, center, spread and outliers of the data Histogram with Curve
More informationMind on Statistics. Chapter 2
Mind on Statistics Chapter 2 Sections 2.1 2.3 1. Tallies and crosstabulations are used to summarize which of these variable types? A. Quantitative B. Mathematical C. Continuous D. Categorical 2. The table
More informationx Measures of Central Tendency for Ungrouped Data Chapter 3 Numerical Descriptive Measures Example 31 Example 31: Solution
Chapter 3 umerical Descriptive Measures 3.1 Measures of Central Tendency for Ungrouped Data 3. Measures of Dispersion for Ungrouped Data 3.3 Mean, Variance, and Standard Deviation for Grouped Data 3.4
More informationTopic 9 ~ Measures of Spread
AP Statistics Topic 9 ~ Measures of Spread Activity 9 : Baseball Lineups The table to the right contains data on the ages of the two teams involved in game of the 200 National League Division Series. Is
More information2.3. Measures of Central Tendency
2.3 Measures of Central Tendency Mean A measure of central tendency is a value that represents a typical, or central, entry of a data set. The three most commonly used measures of central tendency are
More information InterQuartile Range,  Outliers,  Boxplots.
Today:  InterQuartile Range,  Outliers,  Boxplots. Reading for today: Start Chapter 4. Quartiles and the Five Number Summary  The five numbers are the Minimum (Q0), Lower Quartile (Q1), Median (Q2),
More informationSummary of Formulas and Concepts. Descriptive Statistics (Ch. 14)
Summary of Formulas and Concepts Descriptive Statistics (Ch. 14) Definitions Population: The complete set of numerical information on a particular quantity in which an investigator is interested. We assume
More informationAP Statistics Chapter 1 Test  Multiple Choice
AP Statistics Chapter 1 Test  Multiple Choice Name: 1. The following bar graph gives the percent of owners of three brands of trucks who are satisfied with their truck. From this graph, we may conclude
More informationIntroduction to Environmental Statistics. The Big Picture. Populations and Samples. Sample Data. Examples of sample data
A Few Sources for Data Examples Used Introduction to Environmental Statistics Professor Jessica Utts University of California, Irvine jutts@uci.edu 1. Statistical Methods in Water Resources by D.R. Helsel
More information! x sum of the entries
3.1 Measures of Central Tendency (Page 1 of 16) 3.1 Measures of Central Tendency Mean, Median and Mode! x sum of the entries a. mean, x = = n number of entries Example 1 Find the mean of 26, 18, 12, 31,
More informationF. Farrokhyar, MPhil, PhD, PDoc
Learning objectives Descriptive Statistics F. Farrokhyar, MPhil, PhD, PDoc To recognize different types of variables To learn how to appropriately explore your data How to display data using graphs How
More informationAP STATISTICS REVIEW (YMS Chapters 18)
AP STATISTICS REVIEW (YMS Chapters 18) Exploring Data (Chapter 1) Categorical Data nominal scale, names e.g. male/female or eye color or breeds of dogs Quantitative Data rational scale (can +,,, with
More informationIntroduction to the Practice of Statistics Fifth Edition Moore, McCabe
Introduction to the Practice of Statistics Fifth Edition Moore, McCabe Section 1.3 Homework Answers 1.80 If you ask a computer to generate "random numbers between 0 and 1, you uniform will get observations
More informationFirst Midterm Exam (MATH1070 Spring 2012)
First Midterm Exam (MATH1070 Spring 2012) Instructions: This is a one hour exam. You can use a notecard. Calculators are allowed, but other electronics are prohibited. 1. [40pts] Multiple Choice Problems
More informationAnalyzing DataDescriptive Statistics
Analyzing DataDescriptive Statistics Statistical Methods Math 2620  B Alexus Nelson, Miriam Watkins, Kaitlyn Smith Nelson, Watkins, Smith 2 Analyzing Data Descriptive Statistics Data set 1 which is
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Open book and note Calculator OK Multiple Choice 1 point each MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean for the given sample data.
More informationStats Review Chapters 34
Stats Review Chapters 34 Created by Teri Johnson Math Coordinator, Mary Stangler Center for Academic Success Examples are taken from Statistics 4 E by Michael Sullivan, III And the corresponding Test
More informationAP Statistics Semester Exam Review Chapters 13
AP Statistics Semester Exam Review Chapters 13 1. Here are the IQ test scores of 10 randomly chosen fifthgrade students: 145 139 126 122 125 130 96 110 118 118 To make a stemplot of these scores, you
More informationContinuous Random Variables Random variables whose values can be any number within a specified interval.
Section 10.4 Continuous Random Variables and the Normal Distribution Terms Continuous Random Variables Random variables whose values can be any number within a specified interval. Examples include: fuel
More informationThis is Descriptive Statistics, chapter 2 from the book Beginning Statistics (index.html) (v. 1.0).
This is Descriptive Statistics, chapter from the book Beginning Statistics (index.html) (v..). This book is licensed under a Creative Commons byncsa. (http://creativecommons.org/licenses/byncsa/./)
More informationProbability Distributions
Learning Objectives Probability Distributions Section 1: How Can We Summarize Possible Outcomes and Their Probabilities? 1. Random variable 2. Probability distributions for discrete random variables 3.
More informationCH.6 Random Sampling and Descriptive Statistics
CH.6 Random Sampling and Descriptive Statistics Population vs Sample Random sampling Numerical summaries : sample mean, sample variance, sample range StemandLeaf Diagrams Median, quartiles, percentiles,
More informationData Mining Part 2. Data Understanding and Preparation 2.1 Data Understanding Spring 2010
Data Mining Part 2. and Preparation 2.1 Spring 2010 Instructor: Dr. Masoud Yaghini Introduction Outline Introduction Measuring the Central Tendency Measuring the Dispersion of Data Graphic Displays References
More informationCenter: Finding the Median. Median. Spread: Home on the Range. Center: Finding the Median (cont.)
Center: Finding the Median When we think of a typical value, we usually look for the center of the distribution. For a unimodal, symmetric distribution, it s easy to find the center it s just the center
More informationVersions 1a Page 1 of 17
Note to Students: This practice exam is intended to give you an idea of the type of questions the instructor asks and the approximate length of the exam. It does NOT indicate the exact questions or the
More informationExam # 1 STAT The number of people from the state of Alaska الاسكا) (ولاية who voted for a Republican
King Abdulaziz University Faculty of Sciences Statistics Department Name: ID No: Exam # 1 STAT 11 First Term 149143H Section: 6 You have 6 questions in 7 pages. You have 1 minutes to solve the exam. Please
More informationChapter 2 Summarizing and Graphing Data
Chapter 2 Summarizing and Graphing Data 21 Review and Preview 22 Frequency Distributions 23 Histograms 24 Graphs that Enlighten and Graphs that Deceive Preview Characteristics of Data 1. Center: A
More informationGraphing Data Presentation of Data in Visual Forms
Graphing Data Presentation of Data in Visual Forms Purpose of Graphing Data Audience Appeal Provides a visually appealing and succinct representation of data and summary statistics Provides a visually
More informationClassify the data as either discrete or continuous. 2) An athlete runs 100 meters in 10.5 seconds. 2) A) Discrete B) Continuous
Chapter 2 Overview Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Classify as categorical or qualitative data. 1) A survey of autos parked in
More informationNumerical Summarization of Data OPRE 6301
Numerical Summarization of Data OPRE 6301 Motivation... In the previous session, we used graphical techniques to describe data. For example: While this histogram provides useful insight, other interesting
More informationExercise 1.12 (Pg. 2223)
Individuals: The objects that are described by a set of data. They may be people, animals, things, etc. (Also referred to as Cases or Records) Variables: The characteristics recorded about each individual.
More informationThe right edge of the box is the third quartile, Q 3, which is the median of the data values above the median. Maximum Median
CONDENSED LESSON 2.1 Box Plots In this lesson you will create and interpret box plots for sets of data use the interquartile range (IQR) to identify potential outliers and graph them on a modified box
More informationDescriptive Statistics
Chapter 2 Descriptive Statistics 2.1 Descriptive Statistics 1 2.1.1 Student Learning Objectives By the end of this chapter, the student should be able to: Display data graphically and interpret graphs:
More informationc. Construct a boxplot for the data. Write a one sentence interpretation of your graph.
MBA/MIB 5315 Sample Test Problems Page 1 of 1 1. An English survey of 3000 medical records showed that smokers are more inclined to get depressed than nonsmokers. Does this imply that smoking causes depression?
More informationCHAPTER 7: THE CENTRAL LIMIT THEOREM
CHAPTER 7: THE CENTRAL LIMIT THEOREM Exercise 1. Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews
More informationTHE BINOMIAL DISTRIBUTION & PROBABILITY
REVISION SHEET STATISTICS 1 (MEI) THE BINOMIAL DISTRIBUTION & PROBABILITY The main ideas in this chapter are Probabilities based on selecting or arranging objects Probabilities based on the binomial distribution
More informationRescaling and shifting
Rescaling and shifting A fancy way of changing one variable to another Main concepts involve: Adding or subtracting a number (shifting) Multiplying or dividing by a number (rescaling) Where have you seen
More informationStatistics E100 Fall 2013 Practice Midterm I  A Solutions
STATISTICS E100 FALL 2013 PRACTICE MIDTERM I  A SOLUTIONS PAGE 1 OF 5 Statistics E100 Fall 2013 Practice Midterm I  A Solutions 1. (16 points total) Below is the histogram for the number of medals won
More information6.2 Normal distribution. Standard Normal Distribution:
6.2 Normal distribution Slide Heights of Adult Men and Women Slide 2 Area= Mean = µ Standard Deviation = σ Donation: X ~ N(µ,σ 2 ) Standard Normal Distribution: Slide 3 Slide 4 a normal probability distribution
More information32 Measures of Central Tendency and Dispersion
32 Measures of Central Tendency and Dispersion In this section we discuss two important aspects of data which are its center and its spread. The mean, median, and the mode are measures of central tendency
More information6.4 Normal Distribution
Contents 6.4 Normal Distribution....................... 381 6.4.1 Characteristics of the Normal Distribution....... 381 6.4.2 The Standardized Normal Distribution......... 385 6.4.3 Meaning of Areas under
More informationGraphical and Tabular. Summarization of Data OPRE 6301
Graphical and Tabular Summarization of Data OPRE 6301 Introduction and Recap... Descriptive statistics involves arranging, summarizing, and presenting a set of data in such a way that useful information
More informationMAT 155. Key Concept. September 27, 2010. 155S5.5_3 Poisson Probability Distributions. Chapter 5 Probability Distributions
MAT 155 Dr. Claude Moore Cape Fear Community College Chapter 5 Probability Distributions 5 1 Review and Preview 5 2 Random Variables 5 3 Binomial Probability Distributions 5 4 Mean, Variance and Standard
More informationThe Normal Curve. The Normal Curve and The Sampling Distribution
Discrete vs Continuous Data The Normal Curve and The Sampling Distribution We have seen examples of probability distributions for discrete variables X, such as the binomial distribution. We could use it
More informationMathematics. GSE Algebra II/ Advanced Algebra Unit 7: Inferences & Conclusions from Data
Georgia Standards of Excellence Curriculum Frameworks Mathematics GSE Algebra II/ Advanced Algebra Unit 7: Inferences & Conclusions from Data These materials are for nonprofit educational purposes only.
More informationStatistics GCSE Higher Revision Sheet
Statistics GCSE Higher Revision Sheet This document attempts to sum up the contents of the Higher Tier Statistics GCSE. There is one exam, two hours long. A calculator is allowed. It is worth 75% of the
More informationFoundation of Quantitative Data Analysis
Foundation of Quantitative Data Analysis Part 1: Data manipulation and descriptive statistics with SPSS/Excel HSRS #10  October 17, 2013 Reference : A. Aczel, Complete Business Statistics. Chapters 1
More informationThe Big 50 Revision Guidelines for S1
The Big 50 Revision Guidelines for S1 If you can understand all of these you ll do very well 1. Know what is meant by a statistical model and the Modelling cycle of continuous refinement 2. Understand
More information3: Summary Statistics
3: Summary Statistics Notation Let s start by introducing some notation. Consider the following small data set: 4 5 30 50 8 7 4 5 The symbol n represents the sample size (n = 0). The capital letter X denotes
More informationChapter 2  Graphical Summaries of Data
Chapter 2  Graphical Summaries of Data Data recorded in the sequence in which they are collected and before they are processed or ranked are called raw data. Raw data is often difficult to make sense
More information1.3 Measuring Center & Spread, The Five Number Summary & Boxplots. Describing Quantitative Data with Numbers
1.3 Measuring Center & Spread, The Five Number Summary & Boxplots Describing Quantitative Data with Numbers 1.3 I can n Calculate and interpret measures of center (mean, median) in context. n Calculate
More informationIntroduction to Descriptive Statistics
Mathematics Learning Centre Introduction to Descriptive Statistics Jackie Nicholas c 1999 University of Sydney Acknowledgements Parts of this booklet were previously published in a booklet of the same
More informationChapter 3. The Normal Distribution
Chapter 3. The Normal Distribution Topics covered in this chapter: Zscores Normal Probabilities Normal Percentiles Zscores Example 3.6: The standard normal table The Problem: What proportion of observations
More informationLAMC Math 137 Test 1 Module 12 Yun 10/1/2014
LAMC Math 137 Test 1 Module 12 Yun 10/1/2014 Last name First name You may use a calculator but not a cellphone, tablet or an ipod. Please clearly mark your choices on multiple choice questions and box
More informationMeasures of Center Section 32 Definitions Mean (Arithmetic Mean)
Measures of Center Section 31 Mean (Arithmetic Mean) AVERAGE the number obtained by adding the values and dividing the total by the number of values 1 Mean as a Balance Point 3 Mean as a Balance Point
More informationTopic 5 Review [81 marks]
Topic 5 Review [81 marks] A foursided die has three blue faces and one red face. The die is rolled. Let B be the event a blue face lands down, and R be the event a red face lands down. 1a. Write down
More informationChapter 6 Random Variables
Chapter 6 Random Variables Day 1: 6.1 Discrete Random Variables Read 340344 What is a random variable? Give some examples. A numerical variable that describes the outcomes of a chance process. Examples:
More information2. A is a subset of the population. 3. Construct a frequency distribution for the data of the grades of 25 students taking Math 11 last
Math 111 Chapter 12 Practice Test 1. If I wanted to survey 50 Cabrini College students about where they prefer to eat on campus, which would be the most appropriate way to conduct my survey? a. Find 50
More informationChapter 15 Multiple Choice Questions (The answers are provided after the last question.)
Chapter 15 Multiple Choice Questions (The answers are provided after the last question.) 1. What is the median of the following set of scores? 18, 6, 12, 10, 14? a. 10 b. 14 c. 18 d. 12 2. Approximately
More informationNormal Distribution. Definition A continuous random variable has a normal distribution if its probability density. f ( y ) = 1.
Normal Distribution Definition A continuous random variable has a normal distribution if its probability density e (y µ Y ) 2 2 / 2 σ function can be written as for < y < as Y f ( y ) = 1 σ Y 2 π Notation:
More informationDescriptive Statistics. Understanding Data: Categorical Variables. Descriptive Statistics. Dataset: Shellfish Contamination
Descriptive Statistics Understanding Data: Dataset: Shellfish Contamination Location Year Species Species2 Method Metals Cadmium (mg kg  ) Chromium (mg kg  ) Copper (mg kg  ) Lead (mg kg  ) Mercury
More information