University of California, Los Angeles Department of Statistics. Measures of central tendency and variation Data display


 Adelia Young
 1 years ago
 Views:
Transcription
1 Uiversity of Califoria, Los Ageles Departmet of Statistics Statistics 13 Istructor: Nicolas Christou Measures of cetral tedecy Measures of cetral tedecy ad variatio Data display 1. Sample mea: Let x 1, x,, x be the observatios of a sample. The sample mea x is computed as follows: i=1 x = x i = x 1 + x + + x. Media: It is the value that falls i the middle whe the observatios are sorted from smallest to largest. To compute the media, follow the ext steps: a. Sort the observatios from smallest to largest. b. Compute the positio of the media: +1. Examples: A. Sample size is odd: 7 aual icomes: 8, 60, 6, 3, 30, 6, 9. First sort these observatios from smallest to largest: 6, 6, 8, 9, 30, 3, 60 Next compute +1 = 7+1 = th. The media is the th observatio. Media=9. B. Sample size is eve: 8 aual icomes: 6, 6, 8, 9, 30, 3, 60, 80 Agai compute +1 = 8+1 =.5 th. The media is the average of the two middle observatios. Media= 9+30 = 9.5. Questio: How do uusual observatios affect the sample mea ad the media? Example: 8 aual icomes: 6, 6, 8, 9, 30, 3, 60,
2 Measures of ocetral tedecy 1. First quartile (Q 1 ) or 5 th percetile: Its positio is +1.. Third quartile (Q 3 ) or 75 th percetile: Its positio is 3(+1). Example: Fid Q 1 ad Q 3 of the followig 8 aual icomes: 6, 6, 8, 9, 30, 3, 60, Positio of Q 1 : = 8+1 =.5 th d (roud to the earest iteger). 3(+1) Positio of Q 3 : = 3(8+1) = 6.75 th 7 th (roud to the earest iteger). Therefore, Q 1 = 6, Q 3 = 60. Fiveumber summary of a data set: MIN Q 1 MEDIAN Q 3 MAX Box plot: A popular way to display data ad idetify outliers. You are give 11 aual icomes i thousads of dollars: 6, 6, 8, 9, 30, 3, 60, 65, 70, 0,. Costruct the boxplot of icome usig these 11 observatios. Begi by sortig these icomes: 6, 6, 8, 9, 30, 3, 0,, 60, 65, 70 Fid the positio of the first quartile, media, ad third quartile: +1 Positio of Q 1 = 3 rd +1 Positio of Media = 11+1 = 6 th Positio of Q = = 9 th Fid the first quartile, media, ad third quartile: Q 1 = 8, Media = 3, Q 3 = 60 ad the iterquartile rage is IQR = Q 3 Q 1 = 60 8 = 3. = 11+1 Outliers are observatios above Q IQR or below Q 1 1.5IQR. Also, serious outliers are observatios above Q 3 + 3IQR or below Q 1 3IQR. I our example we do ot have ay outliers sice Q IQR = (3) = 108 ad Q 1 1.5IQR = 8 1.5(3) = 0. Now we ca costruct the box plot.
3 Box plot pathologies: Here are some iterestig box plots. Ca you write dow a set of observatios that correspod to these box plots?
4 Measures of variatio 1. Rage:. Iterquartile rage (IQR): 3. Sample variace ad sample stadard deviatio. Let x 1, x,, x be the values of a sample. The sample variace s is the average of the squared deviatios of each observatio from the sample mea ad it is computed as follows: s i=1 = (x i x) 1 where x i x is the i th deviatio from the sample mea x. It is easier for calculatios to use: [ s = 1 ] x i ( i=1 x i) 1 i=1 The stadard deviatio is simply the square root of the variace. Both x ad s have the same uits. i=1 s = (x i x) 1 or easier for calculatios [ s = 1 ] x i 1 ( i=1 x i) i=1 Note: i=1 (x i x) = 0 i=1 x i ( i=1 x i). Example: Fid the sample mea x, sample variace s, ad sample stadard deviatio s of the followig sample: 1, 1.1, 0.9, 1.3, 0.7 (weights of five orages i ouces).
5 Addig ad multiplyig observatios by a costat Let x 1, x,, x be the observatios of a sample of size, ad let x ad s be the sample mea ad sample variace respectively. a. Suppose that o each observatio a costat a is added. Fid the ew sample mea ad sample variace. b. Suppose that each observatio is multiplied by a costat a. Fid the ew sample mea ad sample variace. 5
6 Data display Three popular methods: 1. Stemadleaf display. Frequecy distributio 3. Histogram Stemadleaf display: Split each observatio ito a stem ad leaf. The place the stems i a colum from smallest to largest. Next to each stem place the leaves from smallest to largest. Frequecy distributio: We ca group data ito classes (bis). The first step is to defie the umber of classes ad the width of each class (defie the umber of bis). There may ways to do this. Histogram: The frequecy distributio ca be graphed. The graph is called histogram. To costruct a histogram: O the horizotal axis place the class limits. The costruct a rectagle which has base the width of the class ad height the frequecy of that class. There is also a relative frequecy histogram (the height of each rectagle is the the relative frequecy of that class). Costruct by had the stem ad leaf plot of the followig observatios (ozoe data ppm): [1] [1] [7] See more examples o the ext pages. 6
7 a. Califoria ozoe data. You ca access the data at: Here are the data: [1] [13] [5] [37] [9] [61] [73] [85] [97] [109] [11] [133] [15] [157] [169] Ad the stem ad leaf plot: The decimal poit is digit(s) to the left of the Box plot of ozoe:
8 b. Soil lead ad zic data (area of iterest i the Netherlads  see ext hadout i R). You ca access these data at: Histogram of lead Histogram of soil lead Frequecy Lead (ppm) Histogram of log(lead) Histogram of soil log(lead) Frequecy Log_lead 8
1. The data below gives the eye colors of 20 students in a Statistics class. Make a frequency table for the data.
1. The data below gives the eye colors of 20 students in a Statistics class. Make a frequency table for the data. Green Blue Brown Blue Blue Brown Blue Blue Blue Green Blue Brown Blue Brown Brown Blue
More informationThe Five Magic Numbers
The Five Magic Numbers Objective: Students will review the five numbers needed to construct a box and whisker plot. Students will also answer questions using a box and whisker plot they created. Background
More informationBivariate Data. Frequency Table Line Plot Box and Whisker Plot
U04 D02 Univariate Data Frequency Table Line Plot Box and Whisker Plot Univariate Data Bivariate Data involving a single variable does not deal with causes or relationships the major purpose of univariate
More informationChapter 6 The Standard Deviation as a Ruler and the Normal Model
Chapter 6 The Standard Deviation as a Ruler and the Normal Model Standardizing with zscores Expressing data in terms of We standardize to Standardized values can be even if the original variables had
More informationAvailable online at ScienceDirect. Procedia Engineering 113 (2015 )
Available olie at www.sciecedirect.com ScieceDirect rocedia Egieerig 3 (205 ) 30 305 Iteratioal Coferece o Oil ad Gas Egieerig, OGE205 The twi spool efficiecy cotrol Michuri A.I. a *, Avtoomova I.V. a
More informationBasic Gas Spring Theory
Calculatig the iitial force The iitial force of the gas sprig ca be calculated as the sealed area of the pisto rod or the pisto (depedig o desig) multiplied by the pressure iside the gas sprig. The larger
More informationMST 121: Supplementary resource material for Chapter A1, Sequences
MST : Supplemetary resource material for Chapter A Sequeces For each of the followig sequeces (a) 9 (b) (c) 8 7 Write ow the et terms of the sequece Write ow a epressio for the close form of the sequece
More informationWarmUp: Create a Boxplot.
WarmUp: Create a Boxplot. 2 Warm  UP 1. 2. Find the mean. 3. Find the standard deviation for the set { 54, 59, 35, 41, 22} Warm  UP How many hours do you spend watching TV or surfing the net each
More informationTHE EFFECTS OF COUPLED INDUCTORS IN PARALLEL INTERLEAVED BUCK CONVERTERS
THE EFFECTS OF COUPED INDUCTORS IN PARAE INTEREAVED BUCK CONVERTERS Paul Seria, David Fi ad Geoff Walker pseria@itee.uq.edu.au School of Iformatio Techology ad Electrical Egieerig Uiversity of Queeslad
More informationMath 146 Statistics for the Health Sciences Additional Exercises on Chapter 2
Math 146 Statistics for the Health Sciences Additional Exercises on Chapter 2 Student Name: Solve the problem. 1) Scott Tarnowski owns a pet grooming shop. His prices for grooming dogs are based on the
More informationHypothesis testing: ANOVA Test of the equality of means among c groups. Flowchart
Hypothesis testig: ANOVA Test of the equality of meas amog groups February 6, 200 Moez Hababou() Flowhart Desribig iformatios Drawig olusios Foreastig Improve busiess proesses Data Colletio Probability
More informationChapter 2  Frequency Distributions and Graphs
 Frequency Distributions and Graphs 1. Which of the following does not need to be done when constructing a frequency distribution? A) select the number of classes desired B) find the range C) make the
More informationAN ESTIMATION OF INTERZONAL BUS DEMAND ON COLOMBO  KALUTARA TRANSPORT CORRIDOR
AN ESIMAION OF INERZONAL BUS DEMAND ON COLOMBO  KALUARA RANSPOR CORRIR Sama J. Widaapathiraage ad Amal S. Kumarage Departmet of Civil Egieerig, Uiversity of Moratuwa, Sri Laka. ABSRAC I the past, it
More informationAP Statistics Midterm Exam 2 hours
AP Statistics Midterm Exam 2 hours Name Directions: Work on these sheets only. Read each question carefully and answer completely but concisely (point values are from 1 to 3 points so no written answer
More informationEquipment. Rackets are fragile. Handle the shuttlecocks carefully and only by their rubber tips.
Badmito Overvie ad History Badmito is a racket sport that is played o a court divided by a et five feet high. The game is played ith a shuttlecock ( bird ). Ca be played as sigles or doubles. The object
More informationSYMMETRY AND VARIABILITY OF VERTICAL GROUND REACTION FORCE AND CENTER OF PRESSURE IN ABLEBODIED GAIT
SYMMETRY AND VARIABILITY OF VERTICAL GROUND REACTION FORCE AND CENTER OF PRESSURE IN ABLEBODIED GAIT Yu Wag ad Kazuhiko Wataabe Graduate School of Educatio, Hiroshima Uiversity, Hiroshima, Japa, wagyu@hiroshimau.ac.jp
More informationFootwork is the foundation for a skilled basketball player, involving moves
The Complete Book of Offesive Basketball Drills Basic Footwork ad Cuts Drills 2 Equipmet 16 chairs (or less) Persoel The etire team Basic Footwork ad Cuts Drills Two coaches How to Ru the Drill Five feet
More informationEndzone Sports Charities 1994 John Elway Throwback Jersey Research General Notes
Edzoe Sports Charities Patrick W. Scoggi, Executive Director www.edzoesportscharities.org 1994 Joh Elway Throwback Jersey Research Geeral Notes I 1994, the Natioal Football League, i recogitio of its'
More informationStatistical Analysis Project  How do you decide Who s the Best?
Statistical Analysis Project  How do you decide Who s the Best? In order to choose the best shot put thrower to go to IASAS, the three candidates were asked to throw the shot put for a total of times
More informationRegents Style Box & Whisker Plot Problems
Name: ate: 1. Robin collected data on the number of hours she watched television on Sunday through Thursday nights for a period of 3 weeks. The data are shown in the table below. Sun Mon Tues Wed Thurs
More informationMrs. Daniel AP Stats Ch. 2 MC Practice
Mrs. Daniel AP Stats Ch. 2 MC Practice Name: 1. Jorge s score on Exam 1 in his statistics class was at the 64th percentile of the scores for all students. His score falls (a) between the minimum and the
More informationName Date Period. E) Lowest score: 67, mean: 104, median: 112, range: 83, IQR: 102, Q1: 46, SD: 17
Chapter 6 Review Standards: 4, 7, 8, and 11 Name Date Period Write complete answers, using complete sentences where necessary. Show your work when possible. MULTIPLE CHOICE. Choose the one alternative
More informationSPEED OF SOUND MEASUREMENTS IN GASMIXTURES AT VARYING COMPOSITION USING AN ULTRASONIC GAS FLOW METER WITH SILICON BASED TRANSDUCERS
SPEED OF SOUND MEASUREMENTS IN GASMIXTURES AT VARYING COMPOSITION USING AN ULTRASONIC GAS FLOW METER WITH SILICON BASED TRANSDUCERS Torbjör Löfqvist, Kęstutis Sokas, Jerker Delsig EISLAB, Departmet of
More informationELIGIBILITY / LEVELS / VENUES
ELIGIBILITY / LEVELS / VENUES 10U  SQUIRT MINOR '08 & MAJOR '07 Eligibility: Top six teams i the league at each level will qualify based o regular seaso league play. Format: Divisioal crossover with semifial
More informationThe new name for... Mines Rescue Service
Health ad Safety Traiig for all Idustries The ew ame for... Mies Rescue Service Expert traiig providers i: High Risk Etry ad Rescue Workig i Cofied Spaces Workig at Height Health ad Safety First Aid Fire
More informationChapter 3.4. Measures of position and outliers. Julian Chan. September 11, Department of Mathematics Weber State University
Chapter 3.4 Measures of position and outliers Julian Chan Department of Mathematics Weber State University September 11, 2011 Intro 1 We will talk about how to measure the position of an observation which
More informationLesson 2.1 Frequency Tables and Graphs Notes Stats Page 1 of 5
Stats Page 1 of 5 Frequency Table: partitions data into classes or intervals and shows how many data values are in each class. The classes or intervals are constructed so that each data value falls exactly
More informationSection 3.2: Measures of Variability
Section 3.2: Measures of Variability The mean and median are good statistics to employ when describing the center of a collection of data. However, there is more to a collection of data than just the center!
More informationCatenary Analysis and Calculation Method of Track Rope of Cargo Cableway with Multiple Loads
MATEC Web of Cofereces 8, 01008 (016) DOI: 10.1051/ mateccof/016801008 DME 016 Cateary Aalysis ad Calculatio Method of Track Rope of Cargo Cableway with Multiple Loads Jia Qi a, Ju Che, Liag Qiao, Jiacheg
More informationExemplar for Internal Achievement Standard. Mathematics and Statistics Level 1
Exemplar for Internal Achievement Standard Mathematics and Statistics Level 1 This exemplar supports assessment against: Achievement Standard Investigate a given multivariate data set using the statistical
More informationThe Math and Science of Bowling
The Report (100 : The Math and Science of Bowling 1. For this project, you will need to collect some data at the bowling alley. You will be on a team with one other student. Each student will bowl a minimum
More informationICC WORLD TWENTY ( WORLD CUP2014 ) A CASE STUDY
INTERNATIONAL JOURNAL OF MATHEMATICAL SCIENCES AND APPLICATIONS Volume 5 Number 1 JauaryJue 215 ICC WORLD TWENTY2214 ( WORLD CUP214 ) A CASE STUDY Bhavi Patel 1 ad Pravi Bhathawala 2 1 Assistat Professor,
More informationASSESSMENT SCORING SYSTEM OF ROAD SAFETY INFRASTRUCTURE
ASSESSMENT SCORING SYSTEM OF ROAD SAFETY INFRASTRUCTURE Case Study of Mihag District i Shaghai, Chia Yue Wag, Daocheg Su 2 School of Traffic ad Trasportatio Egieerig, Togi Uiversity, Shaghai, Chia ABSTRACT
More informationDAMAGE ASSESSMENT OF FIBRE ROPES FOR OFFSHORE MOORING
RECOMMENDED PRACTICE DNVRPE304 DAMAGE ASSESSMENT OF FIBRE ROPES FOR OFFSHORE MOORING APRIL 2005 FOREWORD (DNV) is a autoomous ad idepedet foudatio with the objectives of safeguardig life, property ad
More informationBoxandWhisker Plots
7.2 BoxandWhisker Plots Essential Question How can you use a boxandwhisker plot to describe a data set? Drawing a BoxandWhisker Plot 3 9 23 62 3 Numbers of First Cousins 0 3 9 3 45 24 8 0 3 3 6 8
More informationbike ms 2014: Team Village Guide
bike ms 2014: Team Village Guide Historic New Ber Ride 2014 bikemsewber.org 1 Team Village What is Team Village? Team Villages are the ceterpoit of the Bike MS overight, as well as a gatherig place for
More informationDisplaying Quantitative (Numerical) Data with Graphs
Displaying Quantitative (Numerical) Data with Graphs DOTPLOTS: One of the simplest graphs to construct and interpret is a dotplot. Each data value is shown as a dot above its location on a number line.
More information4.5 Scatter Plots and Trend Lines
Name: 1 Scatter Plot: 4.5 Scatter Plots and Trend Lines EXAMPLE 1: a. The data in the table shows a survey of 12 adults for their height (cm) and their wingspan (cm). Create a scatter plot of the data.
More informationObstacle Avoidance for Visually Impaired Using Autoadaptive Thresholding on Kinect s Depth Image
Obstacle Avoidace for Visually Impaired Usig Autoadaptive Thresholdig o Kiect s Depth Image Muhamad Risqi Utama Saputra, Widyawa, Paulus Isap Satosa Departmet of Electrical Egieerig ad Iformatio Techology
More informationSeptember Population analysis of the Dogue De Bordeaux breed
Population analysis of the Dogue De Bordeaux breed Genetic analysis of the Kennel Club pedigree records of the UK Dogue De Bordeaux population has been carried out with the aim of estimating the rate of
More informationQuestion LCHL: Descriptive Statistics
Question LCHL: Descriptive Statistics To enter a particular college course, candidates must complete an aptitude test. In 2010 the mean score was 490 with a standard deviation of 100. The distribution
More informationIGCSE  Cumulative Frequency Questions
Dulwich College Shanghai IGCSE  Cumulative Frequency Questions 85 min 72 marks 1. Answer the whole of this question on one sheet of graph paper. The heights (h cm) of 270 students in a school are measured
More informationSeated valves (PN 16) VF 22way valve, flange VF 33way valve, flange
Data sheet Seated valves (PN 16) VF 22way valve, flage VF 33way valve, flage Descriptio Features: Bubble tight desig 1580, 200300 Sap mechaical coectio together with AMV(E) 335, AMV(E) 435 Dedicated
More informationENGINEERING ECONOMICS
ENGINEERING ECONOMICS Factor Name Coverts Symbol Formula Sgle Paymet Compoud Amout to F gve P (F/P, %, ) ( + ) Sgle Paymet Preset Worth to P gve F (P/F, %, ) ( + ) Uform Seres to A gve F (A/F, %, ) Skg
More informationCincinnati United Lakota Monroe
Ciciati Uited Lakota Moroe U9U19/20081999 Boys ad Girls Brigig the Best Together! #1 Club i Ciciati for Player Developmet Missio of CU The goal of Ciciati Uited Soccer Club is to provide higher level
More informationClimbing/Rappelling NATIONAL STANDARDS BOY SCOUTS OF AMERICA
2007 Climbig/Rappellig NATIONAL STANDARDS BOY SCOUTS OF AMERICA These stadards apply to coucil ad district climbig/rappellig activities. Climb O Safely, No. 20099B, applies to uit activities. Toppig Out,
More informationAssessment Schedule 2016 Mathematics and Statistics: Demonstrate understanding of chance and data (91037)
NCEA Level 1 Mathematics and Statistics (91037) 2016 page 1 of 8 Assessment Schedule 2016 Mathematics and Statistics: Demonstrate understanding of chance and data (91037) Evidence Statement One Expected
More informationELIGIBILITY / LEVELS / VENUES
ELIGIBILITY / LEVELS / VENUES 10U  SQUIRT MINOR '08 & MAJOR '07 Eligibility: Top six teams i the league at each level will qualify based o regular seaso league play. Format: Divisioal crossover with semifial
More informationWondering where to start?
Woodbury YMCA Swim Lessos Schedule 2017 Late Fall October 30  December 17 (651) 7319507 ymcam.org/woodbury ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe aroud
More informationANALYSIS AND MODELING TIME HEADWAY DISTRIBUTIONS UNDER HEAVY TRAFFIC FLOW CONDITIONS IN THE URBAN HIGHWAYS: CASE OF ISFAHAN
TRANSPORT ISSN 648442 prit / ISSN 648348 olie 2 Volume 26(4): 375 382 doi:.3846/648442.2.635694 ANALYSIS AND MODELING TIME HEADWAY DISTRIBUTIONS UNDER HEAVY TRAFFIC FLOW CONDITIONS IN THE URBAN HIGHWAYS:
More informationCC Investigation 1: Graphing Proportions
CC Investigation 1: Graphing Proportions DOMAIN: Ratios and Proportional Relationships Problem 1.1 During the first basketball game of the season, Karl made 3 of his 5 freethrow attempts. Karl then made
More informationCHAPTER 2 Modeling Distributions of Data
CHAPTER 2 Modeling Distributions of Data 2.2 Density Curves and Normal Distributions The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers Density Curves
More informationWondering where to start?
Bursville YMCA Swim Lessos Schedule 2018 Witer Jauary 8  February 25 (952) 8989622 ymcam.org/bursville ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe aroud
More information1 Main Board. 24 dots characters: 48 Columns
1 Mai Board CPU Memory Character r Size Character r Per e Lie L Prit r Commads Prit r Fot t Barcode Iterface ARM 32bit 256Kb Flash memory 16 dots characters: 16 X 8 (2 x 1mm) 24 dots characters: 24 X
More information4. Fortune magazine publishes the list of the world s billionaires annually. The 1992 list (Fortune,
Class 2 1. For each of the following variables, indicate with Q or C whether it is a quantitative variable or a categorical variable. a. the color of a M&M candy b. the weight of an airplane c. the life
More informationNCSS Statistical Software
Chapter 256 Introduction This procedure computes summary statistics and common nonparametric, singlesample runs tests for a series of n numeric, binary, or categorical data values. For numeric data,
More informationBoxandWhisker Plots
Name: Date: Page 1 of 7 BoxandWhisker Plots A boxandwhisker plot is a convenient way to display the fivenumber summary. To draw a boxandwhisker plot: a. Mark the minimum, maximum, median, Q 1, and
More informationMarch Madness Basketball Tournament
March Madness Basketball Tournament Math Project COMMON Core Aligned Decimals, Fractions, Percents, Probability, Rates, Algebra, Word Problems, and more! To Use: Print out all the worksheets. Introduce
More informationFrequency Distributions
Descriptive Statistics Dr. Tom Pierce Department of Psychology Radford University Descriptive statistics comprise a collection of techniques for better understanding what the people in a group look like
More informationOperating Instructions SURGICAL POWER & ACCESSORIES
SURGICAL POWER & ACCESSORIES Table of Cotets PAGE 2 PAGE 35 PAGE 6 Itroductio Warig Traiig Setup Illustratio Drill Motor Setup Quick Coectors Motor / Foot Cotrol Coectios Attachmet Istallatio Straight
More informationAverages. October 19, Discussion item: When we talk about an average, what exactly do we mean? When are they useful?
Averages October 19, 2005 Discussion item: When we talk about an average, what exactly do we mean? When are they useful? 1 The Arithmetic Mean When we talk about an average, we can mean different things
More informationb. Graphs provide a means of quickly comparing data sets. Concepts: a. A graph can be used to identify statistical trends
Baseball Bat Testing: Subjects: Topics: data. Math/Science Gathering and organizing data from an experiment Creating graphical representations of experimental data Analyzing and interpreting graphical
More informationProblem 1 Yankees VS. Mets Comparing distributions without graphing
Yankees vs. Mets Class Problem 1 Yankees VS. Mets Comparing distributions without graphing Below are two data sets that represent the 2008 salaries for the New York Yankees and the New York Mets, the two
More informationdraft final report NGSIM ArterialLane Selection Mode Federal Highway Administration Cambridge Systematics, Inc.
NGSIM ArterialLae Selectio Mode draft fial report prepared for Federal Highway Admiistratio prepared by Cambridge Systematics, Ic. with Itelliget Trasportatio Systems Laboratory Massachusetts Istitute
More information% per year Age (years)
Stat 1001 Winter 1998 Geyer Homework 2 Problem 3.1 66 inches and 72 inches. Problem 3.2 % per year 0.0 0.5 1.0 1.5 0 20 40 60 80 Age (years) (a) Age 1. (b) More 31year olds (c) More people age 35{44,
More informationEnergy Output. Outline. Characterizing Wind Variability. Characterizing Wind Variability 3/7/2015. for Wind Power Management
Energy Output for Wind Power Management Spring 215 Variability in wind Distribution plotting Mean power of the wind Betz' law Power density Power curves The power coefficient Calculator guide The power
More informationHEEL RETENTION SYSTEMS
TECHNOLOGY OVERVIEW the whole may be greater tha the sum of its parts. But the parts are pretty cool too. Our costat pursuit of excellece is deeply embedded i our desig, techology ad materials. Every attribute
More informationPrecautions for Total Hip Replacement Patients Only
Precautios for Total Hip Replacemet Patiets Oly The followig is a list of precautios to keep you from dislocatig your hip. Dislocatig meas to move a body part out of its usual positio. Durig your stay
More informationThe Complete Book of Offensive. Basketball Drills GAMECHANGING DRILLS FROM AROUND THE WORLD GIORGIO GANDOLFI
The Complete Book of Offesive Basketball Drills GAMECHANGING DRILLS FROM AROUND THE WORLD GIORGIO GANDOLFI New York Chicago Sa Fracisco Lisbo Lodo Madrid Mexico City Mila New Delhi Sa Jua Seoul Sigapore
More informationStats 2002: Probabilities for Wins and Losses of Online Gambling
Abstract: Jennifer Mateja Andrea Scisinger Lindsay Lacher Stats 2002: Probabilities for Wins and Losses of Online Gambling The objective of this experiment is to determine whether online gambling is a
More informationA.M. The time between 12:00 midnight and 12:00 noon. Houghton Mifflin Co. 1 Grade 4 Unit 5
A.M. The time between 12:00 midnight and 12:00 noon. Houghton Mifflin Co. 1 Grade 4 Unit 5 bar graph A graph in which information is shown by means of rectangular bars. Favorite Sea Creature Sea Creature
More informationTranspiration. DataQuest OBJECTIVES MATERIALS
Transpiration DataQuest 13 Water is transported in plants, from the roots to the leaves, following a decreasing water potential gradient. Transpiration, or loss of water from the leaves, helps to create
More informationNavigate to the golf data folder and make it your working directory. Load the data by typing
Golf Analysis 1.1 Introduction In a round, golfers have a number of choices to make. For a particular shot, is it better to use the longest club available to try to reach the green, or would it be better
More informationWIND TUNNEL EXPERIMENT ON THE EFFECT OF WIND ON SMOKE EXHAUST SYSTEMS FOR A HIGH RISE BUILDING
WIND TUNNEL EXPERIMENT ON THE EFFECT OF WIND ON SMOKE EXHAUST SYSTEMS FOR A HIGH RISE BUILDING K.C. Chug Mechaical Egieerig, Natioal Yuli Uiversity of Sciece ad Techology Touliu City, Yuli 4, Taiwa ABSTRACT
More informationDecimals Worksheets. The decimal point separates the whole numbers from the fractional part of a number.
Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number. 8.09 In a whole number the decimal point is all the way to the right, even if it is not shown in
More informationBoxandWhisker Plots
Name: Date: Page 1 of 6 BoxandWhisker Plots A boxandwhisker plot is a convenient way to display the fivenumber summary. To draw a boxandwhisker plot: a. Mark the minimum, maximum, median, Q 1, and
More informationA multivariate approach for defining fishing tactics from commercial catch and effort data
51 A multivariate approach for defiig fishig tactics from commercial catch ad effort data Domiique Pelletier ad Jocelye Ferraris Ferraris 65 Itroductio Abstract: Fishig tactics correspod to fishig practices
More informationWHAT IS THE ESSENTIAL QUESTION?
WHAT IS THE ESSENTIAL QUESTION? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 3, Lesson 1 1. Warm up 2. Notes
More informationAlgebra I: A Fresh Approach. By Christy Walters
Algebra I: A Fresh Approach By Christy Walters 2005 A+ Education Services All rights reserved. No part of this publication may be reproduced, distributed, stored in a retrieval system, or transmitted,
More informationAP STATISTICS Name Chapter 6 Applications Period: Use summary statistics to answer the question. Solve the problem.
AP STATISTICS Chapter 6 Applications Name Period: Use summary statistics to answer the question. 1) The speed vehicles travelled on a local highway was recorded for one month. The speeds ranged from 48
More informationSTATISTICS ELEMENTARY MARIO F. TRIOLA. Descriptive Statistics EIGHTH EDITION
ELEMENTARY STATISTICS Chapter 2 Descriptive Statistics MARIO F. TRIOLA EIGHTH EDITION 1 21 Overview Chapter 2 Descriptive Statistics 22 Summarizing Data with Frequency Tables 23 Pictures of Data 24
More informationACTIVITY: Drawing a BoxandWhisker Plot. a. Order the data set and write it on a strip of grid paper with 24 equally spaced boxes.
2. BoxandWhisker Plots describe a data set? How can you use a boxandwhisker plot to ACTIVITY: Drawing a BoxandWhisker Plot Work with a partner. The numbers of first cousins of the students in an
More informationTIME DOMAIN SIMULATIONS OF A COUPLED PARAMETRICALLY EXCITED ROLL RESPONSE IN REGULAR AND IRREGULAR HEAD SEAS
8 th Iteratioal Coferece o 349 TIME DOMAIN SIMULATIONS OF A COUPLED PARAMETRICALLY EXCITED ROLL RESPONSE IN REGULAR AND IRREGULAR HEAD SEAS S. Ribeiro e Silva, T. Satos ad C. Guedes Soares Uit of Marie
More informationMovement and Position
Movement and Position Syllabus points: 1.2 plot and interpret distancetime graphs 1.3 know and use the relationship between average speed, distance moved and 1.4 describe experiments to investigate the
More informationHazard Identificaiton of Railway Signaling System Using PHA and HAZOP Methods
www.ijape.org Iteratioal Joural of Automatio ad Power Egieerig (IJAPE) Volume 2 Issue 2, February 2013 Hazard Idetificaito of Railway Sigalig System Usig PHA ad HAZOP Methods Jog Gyu Hwag *1, Hyu Jeog
More informationCh. 8 Review Analyzing Data and Graphs
How to find the Median Value It's the middle number in a sorted list. To find the Median, place the numbers you are given in value order and find the middle number. Look at these numbers: 3, 13, 7, 5,
More informationVersion IV: April a publication from
Versio IV: April 2013 a publicatio from AWRF Associated Wire Rope Fabricators Recommeded Practice ad Guidelie Disclaimer for AWRF Recommeded Guidelie Swager Safety Guide Associated Wire Rope Fabricators
More informationRef. no Altitude functions
EN digital WIRELESS functions AND FEATURES 1. Current speed 2. Trip distance 3. Ride time 4. Average speed (2 decimal places) 5. Max. speed (2 decimal places) 6. Trip section counter (manual stopwatch
More informationMEASURING VOLUME & MASS
MEASURING VOLUME & MASS In this laboratory you will have the opportunity to apply your measuring skills in gathering data, processing it, and interpreting the results. For this experiment you will: 1)
More informationThe Bruins I.C.E. School Math 3 rd 5 th Grade Curriculum Materials
The Bruins I.C.E. School Math 3 rd 5 th Grade Curriculum Materials Lesson 1: Line Plots Lesson 2: Bar Graphs Lesson 3: Mean, Median, Mode, Range, Maximum and Minimum Lesson 4: Classifying Angles Lesson
More informationLab 4: Transpiration
Lab 4: Transpiration Water is transported in plants, from the roots to the leaves, following a decreasing water potential gradient. Transpiration, or loss of water from the leaves, helps to create a lower
More informationROUND TOSSUP: What is the square root of one million? (1000) (10 points) BONUS: How many zeros are at the end of ?
ROUND 1 1. TOSSUP: What is 24% of 50? (12) (10 points) BONUS: A clothing store is having a 60% off sale on its dresses. Brandi has a coupon that lets her take 20% off of the sale price. If she pays $24
More informationData and Probability
5 CHAPTER Data and Probability Lesson 5.1 Average Find the mean or average of each set of data. The table shows the number of books Sophia borrowed from the library in four months. Number of Books Borrowed
More informationLANE USE FACTOR ESTIMATION FOR INTERSECTIONS WITH LANE DROP. Park & Kevin
LANE USE FACTOR ESTIMATION FOR INTERSECTIONS WITH LANE DROP Park & Kevin OUTLINE Introduction Literature review Lane drop types Data collection Data analysis and proposed LUF Summary INTRODUCTION What
More informationUNIT 7 PRACTICE PROBLEMS
UNIT 7 PRACTICE PROBLEMS 1 Shade the indicated quantity and rewrite in the indicated forms a) 38 hundredths b) 15 100 Decimal: Expanded Form: Fraction Form: Decimal: Expanded Form: Word Name: c) 2 tenths
More informationGait Analyser. Description of Walking Performance
Gait Analyser Description of Walking Performance This brochure will help you to understand clearly the parameters described in the report of the Gait Analyser, provide you with tips to implement the walking
More informationComputation of the inviscid drift force caused by nonlinear waves on a submerged circular cylinder
csnak, 2011 Iter J Nav Archit Oc Egg (2011) 3:201~207 http://dx.doi.org/10.3744/jnaoe.2011.3.3.201 Computatio of the iviscid drift force caused by oliear waves o a submerged circular cylider HyeokJu Koh
More information5.1 Introduction. Learning Objectives
Learning Objectives 5.1 Introduction Statistical Process Control (SPC): SPC is a powerful collection of problemsolving tools useful in achieving process stability and improving capability through the
More informationPRACTICAL EXPLANATION OF THE EFFECT OF VELOCITY VARIATION IN SHAPED PROJECTILE PAINTBALL MARKERS. Document Authors David Cady & David Williams
PRACTICAL EXPLANATION OF THE EFFECT OF VELOCITY VARIATION IN SHAPED PROJECTILE PAINTBALL MARKERS Document Authors David Cady & David Williams Marker Evaluations Lou Arthur, Matt Sauvageau, Chris Fisher
More informationQuali cations. Forename(s) Surname Number of seat
FOR OFFICIAL USE Quali cations N5National 015 X744/75/01 WEDNESDAY, 9 APRIL 1:00 PM 1:50 PM Mark Lifeskills Mathematics Paper 1 (NonCalculator) *X7447501* Fill in these boxes and read what is printed
More information