Univariate Statistics. Z-Score
|
|
|
- Lesley Foster
- 5 years ago
- Views:
Transcription
1 Univariate Statistics Z-Score
2 The Sorted Score or Z-Score The standard score or z score of a data value gives the number of standard deviations that it differs from the mean. raw score mean z score = = standard deviation x x s The value of a z score value gives us its relationship to the mean z score > 0 à data value > mean. z score = 0 à data value = mean. z score < 0 à data value < mean. Standard or z scores enable comparisons to be made between data sets with different means and standard deviations, to determine which score is a better/worse result.
3 Concept Explorer The mean percentage on a test was 60 and the standard deviation was 13. Find the z score for the following test results : (i) 82% (ii) 45%
4 Concept Explorer (Answer) The mean percentage on a test was 60 and the standard deviation was 13. Find the z score for the following test results : (i) 82% (ii) 45% z = z = = 1.69 = 1.15
5 Concept Explorer The mean percentage on a test was 60 and the standard deviation was 13. Find the test result for a student whose z score is 0.81.
6 Concept Explorer (Answer) The mean percentage on a test was 60 and the standard deviation was 13. Find the test result for a student whose z score is = test score test score = = %
7 Concept Explorer Luke scored 68% on a Mathematics test and 78% on an English test. Which was the relative better performance, given the overall class results in the table below? Class Mean SD English Maths 58 7
8 Concept Explorer (Answer) Luke scored 68% on a Mathematics test and 78% on an English test. Which was the relative better performance, given the overall class results in the table below? Class Mean SD English Maths 58 7 Maths : z = English : z = = 1.4 = 1.2 Luke s standard score for Maths was greater than his standard score for English, (his Maths result being further away from the mean in the distribution of class scores), so his relative performance was better in Maths.
9 Drill It Out A student obtains a mark of 56 on a test for which the mean mark is 67 and the standard deviation is The student s standardised mark (standard z score) is closest to A B C D E VCAA 2007 Exam Q3
10 Drill It Out (Answer) A student obtains a mark of 56 on a test for which the mean mark is 67 and the standard deviation is The student s standardised mark (standard z score) is closest to 72% 13% A B C D E Complete a calculation z = = 1.08 VCAA 2007 Exam Q3
11 Drill It Out The length of a type of ant is approximately normally distributed with a mean of 4.8 mm and a standard deviation of 1.2 mm A standardised ant length of z = 0.5 corresponds to an actual ant length of A. 2.4 mm B. 3.6 mm C. 4.2 mm D. 5.4 mm E. 7.0 mm VCAA 2011 Exam Q10
12 Drill It Out (Answer) The length of a type of ant is approximately normally distributed with a mean of 4.8 mm and a standard deviation of 1.2 mm A standardised ant length of z = 0.5 corresponds to an actual ant length of 8% A. 2.4 mm Complete a reverse calculation 10% B. 3.6 mm 71% C. 4.2 mm ant length 4.8 8% D. 5.4 mm 0.5 = E. 7.0 mm 1.2 Ant length = = = 4.2 mm VCAA 2011 Exam Q10
13 Drill It Out Age 18 months 27 months 36 months Mean SD A 27-month-old boy has a height of 83.1 cm. Calculate his standardised height (z score) relative to this sample of 27-month-old boys. Write your answer correct to one decimal place. VCAA 2006 Exam Q1
14 Drill It Out (Answer) Age 18 months 27 months 36 months Mean SD A 27-month-old boy has a height of 83.1 cm. Calculate his standardised height (z score) relative to this sample of 27-month-old boys. Write your answer correct to one decimal place. z score = = 1.4 Common error in calculator = 63.2 VCAA 2006 Exam Q1
KCP e-learning. test user - ability basic maths revision. During your training, we will need to cover some ground using statistics.
During your training, we will need to cover some ground using statistics. The very mention of this word can sometimes alarm delegates who may not have done any maths or statistics since leaving school.
MALLOY PSYCH 3000 MEAN & VARIANCE PAGE 1 STATISTICS MEASURES OF CENTRAL TENDENCY. In an experiment, these are applied to the dependent variable (DV)
MALLOY PSYCH 3000 MEAN & VARIANCE PAGE 1 STATISTICS Descriptive statistics Inferential statistics MEASURES OF CENTRAL TENDENCY In an experiment, these are applied to the dependent variable (DV) E.g., MEASURES
Chapter 6 The Normal Distribution
Chapter 6 The Normal PSY 395 Oswald Outline s and area The normal distribution The standard normal distribution Setting probable limits on a score/observation Measures related to 2 s and Area The idea
60% 50% 40% 30% 20% 10% 0%
Table 1. Number & Percentage of Students by IB Diploma-Seeking Status: N Percent N Percent N Percent Seeking Diploma 13 34% 11 34% 24 34% Seeking Certificate 8 21% 1 3% 9 13% Anticipated 17 45% 20 63%
Review. Midterm Exam. Midterm Review. May 6th, 2015 AMS-UCSC. Spring Session 1 (Midterm Review) AMS-5 May 6th, / 24
Midterm Exam Midterm Review AMS-UCSC May 6th, 2015 Spring 2015. Session 1 (Midterm Review) AMS-5 May 6th, 2015 1 / 24 Topics Topics We will talk about... 1 Review Spring 2015. Session 1 (Midterm Review)
Final Exam Review (Math 1342)
Final Exam Review (Math 1342) 1) 5.5 5.7 5.8 5.9 6.1 6.1 6.3 6.4 6.5 6.6 6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7 Min = 5.5 Q 1 = 25th percentile = middle of first
MATH 117 Statistical Methods for Management I Chapter Three
Jubail University College MATH 117 Statistical Methods for Management I Chapter Three This chapter covers the following topics: I. Measures of Center Tendency. 1. Mean for Ungrouped Data (Raw Data) 2.
The Normal Distribution (Pt. 2)
Chapter 5 The Normal Distribution (Pt 2) 51 Finding Normal Percentiles Recall that the Nth percentile of a distribution is the value that marks off the bottom N% of the distribution For review, remember
Norm Referenced Test (NRT)
22 Norm Referenced Test (NRT) NRT Test Design In 2005, the MSA Mathematics tests included the TerraNova Mathematics Survey (TN) Form C at Grades 3, 4, 5, 7, and 8 and Form D at Grade 6. The MSA Grade 10
4.2 The Normal Distribution. that is, a graph of the measurement looks like the familiar symmetrical, bell-shaped
4.2 The Normal Distribution Many physiological and psychological measurements are normality distributed; that is, a graph of the measurement looks like the familiar symmetrical, bell-shaped distribution
Isotopes and Atomic Mass
Isotopes and Atomic Mass By the end of this lesson, I will be able to: Explain the following terms: isotope, percentage, percent abundance, average, weighted average, average weighted mass, atomic mass.
Compass rsat Practice Test -- Score Summary
page 1 of 7 -- Score Summary Bobby Compass Total Score Range Likely Combined Score 1050 --- 1110 1080 Section Scores (200-800) Reading & Writing Range 500 --- 560 Math Range 520 --- 580 Likely Score 530
Ø Set of mutually exclusive categories. Ø Classify or categorize subject. Ø No meaningful order to categorization.
Statistical Tools in Evaluation HPS 41 Fall 213 Dr. Joe G. Schmalfeldt Types of Scores Continuous Scores scores with a potentially infinite number of values. Discrete Scores scores limited to a specific
Looking at data: distributions - Density curves and Normal distributions. Copyright Brigitte Baldi 2005 Modified by R. Gordon 2009.
Looking at data: distributions - Density curves and Normal distributions Copyright Brigitte Baldi 2005 Modified by R. Gordon 2009. Objectives Density curves and Normal distributions!! Density curves!!
Quantitative Bivariate Data
Statistics 211 (L02) - Linear Regression Quantitative Bivariate Data Consider two quantitative variables, defined in the following way: X i - the observed value of Variable X from subject i, i = 1, 2,,
INTERMEDIATE 1 The Maths Pathway
Objective Code Objective Exemplification Links to Prior Objectives Resources, Enrichment, Notes etc. I1.1 Order positive and negative integers, decimals and ; use the number line as a model for ordering
Chapter 2 Statistics. Mean, Median, Mode, and Range Definitions
M a t h C h a p t e r 2 S t a t i s t i c s P a g e 1 of 16 Chapter 2 Statistics Mean, Median, Mode, and Range Definitions Mean : The "Mean" is computed by adding all of the numbers in the data together
MEASURING THE SPREAD OF DATA: 6F
CONTINUING WITH DESCRIPTIVE STATS 6E,6F,6G,6H,6I MEASURING THE SPREAD OF DATA: 6F othink about this example: Suppose you are at a high school football game and you sample 40 people from the student section
Z score indicates how far a raw score deviates from the sample mean in SD units. score Mean % Lower Bound
1 EDUR 8131 Chat 3 Notes 2 Normal Distribution and Standard Scores Questions Standard Scores: Z score Z = (X M) / SD Z = deviation score divided by standard deviation Z score indicates how far a raw score
ERASMUS UNIVERSITY ROTTERDAM Entrance examination Mathematics level 1 for International Bachelor in Communication and Media PRACTICE EXAM
This examination paper has 5 numbered pages Available time: 2 hours 30 minutes ERASMUS UNIVERSITY ROTTERDAM Entrance examination Mathematics level 1 for International Bachelor in Communication and Media
Concept Category 4. Quadratic Equations
Concept Category 4 Quadratic Equations 1 Solving Quadratic Equations by the Square Root Property Square Root Property We previously have used factoring to solve quadratic equations. This chapter will introduce
Circle - Circumference
Name : Score : Circle - Circumference Example : Circumference of a circle = 2πr or πd 8.53 m Diameter (d) = 8.53 m πd = 3.14 x 8.53 26.78 m Find the circumference of each circle. Round the answer to two
Learning Plan 09. Question 1. Question 2. Question 3. Question 4. What is the difference between the highest and lowest data values in a data set?
Learning Plan 09 Question 1 What is the difference between the highest and lowest data values in a data set? The difference is called range. (p. 794) Question 2 Measures of Dispersion. Read the answer
Lecture 2. Descriptive Statistics: Measures of Center
Lecture 2. Descriptive Statistics: Measures of Center Descriptive Statistics summarize or describe the important characteristics of a known set of data Inferential Statistics use sample data to make inferences
MATH-A Day 8 - Stats Exam not valid for Paper Pencil Test Sessions
MATH-A Day 8 - Stats Exam not valid for Paper Pencil Test Sessions [Exam ID:1LCDDJ 1 Karen knows that the z-score for a specific element within a set of data is.97. Karen can conclude that the element
Appendix 1. KYOTE College Readiness Placement Exam Standards
Appendix 1 KYOTE College Readiness Placement Exam Standards 1. Evaluate numerical expressions involving signed numbers, positive integer exponents, order of operations and parentheses. 2. Evaluate algebraic
Homework 7. Name: ID# Section
Homework 7 Name: ID# Section 1 Find the probabilities for each of the following using the standard normal distribution. 1. P(0 < z < 1.69) 2. P(-1.57 < z < 0) 3. P(z > 1.16) 4. P(z < -1.77) 5. P(-2.46
Question. z-scores. What We Will Cover in This Section. On which of the following tests did Pat do best compared to the other students?
z-scores 9/17/2003 P225 Z-scores 1 What We Will Cover in This Section What a z-score is. Computation. Properties. Assumptions. Uses 9/17/2003 P225 Z-scores 2 Question On which of the following tests did
7.1 Sampling Error The Need for Sampling Distributions
7.1 Sampling Error The Need for Sampling Distributions Tom Lewis Fall Term 2009 Tom Lewis () 7.1 Sampling Error The Need for Sampling Distributions Fall Term 2009 1 / 5 Outline 1 Tom Lewis () 7.1 Sampling
A is one of the categories into which qualitative data can be classified.
Chapter 2 Methods for Describing Sets of Data 2.1 Describing qualitative data Recall qualitative data: non-numerical or categorical data Basic definitions: A is one of the categories into which qualitative
Bivariate data data from two variables e.g. Maths test results and English test results. Interpolate estimate a value between two known values.
Key words: Bivariate data data from two variables e.g. Maths test results and English test results Interpolate estimate a value between two known values. Extrapolate find a value by following a pattern
S-ID Measuring Variability in a Data Set
S-ID Measuring Variability in a Data Set Task Jim has taken exams in his Statistics class. Exam Score 92 2 8 3 96 00 a. Both the MAD (mean absolute deviation) and the standard deviation are commonly used
Objective A: Mean, Median and Mode Three measures of central of tendency: the mean, the median, and the mode.
Chapter 3 Numerically Summarizing Data Chapter 3.1 Measures of Central Tendency Objective A: Mean, Median and Mode Three measures of central of tendency: the mean, the median, and the mode. A1. Mean The
Coimisiún na Scrúduithe Stáit State Examinations Commission. Leaving Certificate Examination Mathematics
2018. M30 Coimisiún na Scrúduithe Stáit State Examinations Commission Leaving Certificate Examination 2018 Mathematics Paper 2 Higher Level Monday, 11 June Morning 9:30 to 12:00 300 marks Examination number
University of Georgia Department of Mathematics. Math 1113 Final Exam Fall 2016
University of Georgia Department of Mathematics Math 1113 Final Exam Fall 2016 By providing my signature below I acknowledge that I abide by the University s academic honesty policy. This is my work, and
EXAM 3 Math 1342 Elementary Statistics 6-7
EXAM 3 Math 1342 Elementary Statistics 6-7 Name Date ********************************************************************************************************************************************** MULTIPLE
ARITHMETIC MEAN. What is arithmetic mean? (1) What is the average of the following two numbers: 3 and 5. 8 and and 3. 1 and 1.
ARITHMETIC MEAN BEGINNERS NOVEMBER 8, 2015 What is arithmetic mean? (1) What is the average of the following two numbers: 3 and 5 8 and 12 1 3 and 2 3 2.5 and 3 1 and 1 8 and 2 3 and 11 (2) A bag containing
Math 1120 Solutions to Review for the Third Exam Spring 2011
Math 20 Solutions to Review for the Third Exam Spring 20. Calculate the mean, median and mode for each of the following data sets. (a) 4, 8, 3, 3, 5, 3, 5, 7,, 9, 0, 2 First, order the set: 0,, 2, 3, 3,
Math Released Item Algebra 1. Solve the Equation VH046614
Math Released Item 2017 Algebra 1 Solve the Equation VH046614 Anchor Set A1 A8 With Annotations Prompt Rubric VH046614 Rubric Score Description 3 Student response includes the following 3 elements. Reasoning
CHAPTER 1 Univariate data
Chapter Answers Page 1 of 17 CHAPTER 1 Univariate data Exercise 1A Types of data 1 Numerical a, b, c, g, h Categorical d, e, f, i, j, k, l, m 2 Discrete c, g Continuous a, b, h 3 C 4 C Exercise 1B Stem
Multivariate Statistical Analysis (Math347)
Multivariate Statistical Analysis (Math347) Instructor: Kani Chen An Overview Instructor: Kani Chen (HKUST) Multivariate Statistical Analysis (Math347) 1 / 13 Math347 vs. Math341: Blue collar vs. white
3-D Shapes and volume
-D Shapes and Volume Mark Scheme 1 Level IGCSE Subject Maths Exam Board Edexcel Topic Shape, Space and Measures Sub Topic -D Shapes and volume Booklet Mark Scheme 1 Time Allowed: Score: Percentage: 57
Chapter (7) Continuous Probability Distributions Examples Normal probability distribution
Chapter (7) Continuous robability Distributions Examples Normal probability distribution Example () How to find the area under the normal curve? If 50 Find & 6 60.8 50 X 60.8 6 0.8 p 6 0.5 0.464 0.964.8
University of California, Berkeley, Statistics 131A: Statistical Inference for the Social and Life Sciences. Michael Lugo, Spring 2012
University of California, Berkeley, Statistics 3A: Statistical Inference for the Social and Life Sciences Michael Lugo, Spring 202 Solutions to Exam Friday, March 2, 202. [5: 2+2+] Consider the stemplot
English Score 10 Math Score 14 Reading Score 8 Science Score 11. Writing Score 4 Composite Score 11. Scale Score used: act_66f
ACT Summary for Exam: ACT 66F Bobbint, Rashid Student: Rashid Bobbint Student ID: 13 Grade: 3 School: Excel Center Provider Contact: Choose The Employee Name That Goes Here Tel: Email: info@yourcompany.com
2017 VCE Specialist Mathematics 2 examination report
017 VCE Specialist Mathematics examination report General comments The 017 Specialist Mathematics examination comprised 0 multiple-choice questions (worth a total of 0 marks) and six extended-answer questions
1) What is the probability that the random variable has a value less than 3? 1)
Ch 6 and 7 Worksheet Disclaimer; The actual exam differs NOTE: ON THIS TEST YOU WILL NEED TO USE TABLES (NOT YOUR CALCULATOR) TO FIND PROBABILITIES UNDER THE NORMAL OR CHI SQUARED OR T DISTRIBUTION! SHORT
SCATTER DIAGRAMS M.K. HOME TUITION. Mathematics Revision Guides Level: GCSE Higher Tier
Mathematics Revision Guides Scatter Diagrams Page 1 of 8 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Higher Tier SCATTER DIAGRAMS Version: 4.2 Date: 23-07-2016 Mathematics Revision Guides
1) [3pts] 2. Simplify the expression. Give your answer as a reduced fraction. No credit for decimal answers. ( ) 2) [4pts] ( 3 2 ) 1
![1) [3pts] 2. Simplify the expression. Give your answer as a reduced fraction. No credit for decimal answers. ( ) 2) [4pts] ( 3 2 ) 1](/thumbs/96/127963227.jpg "1) [3pts] 2. Simplify the expression. Give your answer as a reduced fraction. No credit for decimal answers. ( ) 2) [4pts] ( 3 2 ) 1")
Math 097 Winter 2018 Final Exam (Form A) Name: Instructor s Name: Score: /100 (+ 3 bonus) 1. Evaluate 2(x h) 3 when x = 2 and h = 5. 1) 2. Simplify the expression. Give your answer as a reduced fraction.
2.45, 1.60, 1.53, 2.89, 2.85, 1.09, 1.23, 2.39, 2.97, 2.28, 1.79, 1.48, 1.62, 1.17, 1.41
Name: Date: THE STANDARD DEVIATION ALGEBRA 2 WITH TRIGONOMETRY Measurements of central tendency, such as the mean and median, are important numbers that summarize average behavior of a data set. But, it
FOR ENTRY INTO YEAR 4 SAMPLE PAPER 1. Time allowed: 2 hours
THE ENGLISH SCHOOL, NICOSIA FOR ENTRY INTO YEAR 4 SAMPLE PAPER 1 MATHEMATICS - IGCSE Book 1 Time allowed: 2 hours Instructions to candidates In the boxes below write your name, surname and form. Answer
THE SUMMATION NOTATION Ʃ
THE SUMMATION NOTATION Ʃ Single Subscript Notation Most of the calculations we perform in statistics are repetitive operations on lists of numbers. For example, we compute the sum of a set of numbers,
Perhaps the most important measure of location is the mean (average). Sample mean: where n = sample size. Arrange the values from smallest to largest:
1 Chapter 3 - Descriptive stats: Numerical measures 3.1 Measures of Location Mean Perhaps the most important measure of location is the mean (average). Sample mean: where n = sample size Example: The number
2003 Mathematical Methods (CAS) Pilot Study GA 2: Written examination 1
3 Assessment Report 3 Mathematical Methods (CAS) Pilot Study GA : Written examination GENERAL COMMENTS The number of students who sat for this examination was 69. Mars ranged from 4 to 49 out of a maximum
Topic 6.3 The normal Distribution
Topic 6.3 The normal Distribution 1 The Normal Curve The graph of the normal distribution depends on two factors the mean and the standard deviation. The mean of the distribution determines the location
Chapter 3. Data Description. McGraw-Hill, Bluman, 7 th ed, Chapter 3
Chapter 3 Data Description McGraw-Hill, Bluman, 7 th ed, Chapter 3 1 Chapter 3 Overview Introduction 3-1 Measures of Central Tendency 3-2 Measures of Variation 3-3 Measures of Position 3-4 Exploratory
Stat 20 Midterm 1 Review
Stat 20 Midterm Review February 7, 2007 This handout is intended to be a comprehensive study guide for the first Stat 20 midterm exam. I have tried to cover all the course material in a way that targets
Chapters 1 & 2 Exam Review
Problems 1-3 refer to the following five boxplots. 1.) To which of the above boxplots does the following histogram correspond? (A) A (B) B (C) C (D) D (E) E 2.) To which of the above boxplots does the
INSIGHT YEAR 12 Trial Exam Paper
INSIGHT YEAR 12 Trial Exam Paper 2013 MATHEMATICAL METHODS (CAS) STUDENT NAME: Written examination 1 QUESTION AND ANSWER BOOK Reading time: 15 minutes Writing time: 1 hour Structure of book Number of questions
UNCORRECTED SAMPLE PAGES. The normal distribution. Syllabus topic S5 The normal distribution. Outcomes. Digital Resources for this chapter
9 The normal distribution Syllabus topic S5 The normal distribution This topic will develop an understanding of the properties of the normal distribution and how it can be used to analyse data and make
Errata for Light Blue Grade 7
Errata for Light Blue Grade 7 7 A Chapter 2: Lesson: Chapter 2 Review Answer for #11 was expanded to be: 11. The expression for the distance can be written as 6 m ( 8 m) or 8 m ( 6 m). It can be written
36-309/749 Math Review 2014
36-309/749 Math Review 2014 The math content of 36-309 is not high. We will use algebra, including logs. We will not use calculus or matrix algebra. This optional handout is intended to help those students
Uptake of IGCSE subjects 2012
Uptake of IGCSE subjects 2012 Statistics Report Series No.63 Tom Sutch September 2013 Research Division Assessment, Research and Development Cambridge Assessment 1 Regent Street, Cambridge, CB2 1GG Introduction
Section 5.4. Ken Ueda
Section 5.4 Ken Ueda Students seem to think that being graded on a curve is a positive thing. I took lasers 101 at Cornell and got a 92 on the exam. The average was a 93. I ended up with a C on the test.
These are all examples of declarative compound sentences.
Opening Exploration 1. Determine whether each claim given below is true or false. A. Right now, I am in math class and English class. B. Right now, I am in math class or English class. C. I am 14 years
Chapter 6 Sampling Distributions
Chapter 6 Sampling Distributions Parameter and Statistic A is a numerical descriptive measure of a population. Since it is based on the observations in the population, its value is almost always unknown.
Describing Distributions
Describing Distributions With Numbers April 18, 2012 Summary Statistics. Measures of Center. Percentiles. Measures of Spread. A Summary Statement. Choosing Numerical Summaries. 1.0 What Are Summary Statistics?
Give your answers in exact form, except as noted in particular problems.
Math 125 Final Examination Winter 2010 Your Name Your Signature Student ID # Quiz Section Professor s Name TA s Name This exam is closed book. You may use one 8 2 1 11 sheet of handwritten notes (both
The Twenty-Eighth Annual
The Twenty-Eighth Annual Eastern Shore High School Mathematics Competition November 10, 2011 Individual Contest Exam Instructions There are twenty problems on this exam. Select the best answer for each
MATH-A SOL Remediation - A.9 Exam not valid for Paper Pencil Test Sessions
MATH-A SOL Remediation - A.9 Exam not valid for Paper Pencil Test Sessions [Exam ID:267TL8 1 The number of home runs was recorded for Valley County Schools during the 2009 and 2010 school year. Which of
Multiple Choice Answers. MA 110 Precalculus Spring 2015 Exam 3 14 April Question
MA 110 Precalculus Spring 2015 Exam 3 14 April 2015 Name: Section: Last 4 digits of student ID #: This exam has ten multiple choice questions (four points each) and five free response questions (seven
Exam: practice test 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam: practice test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. ) Using the information in the table on home sale prices in
Multivariate Statistics (I) 2. Principal Component Analysis (PCA)
Multivariate Statistics (I) 2. Principal Component Analysis (PCA) 2.1 Comprehension of PCA 2.2 Concepts of PCs 2.3 Algebraic derivation of PCs 2.4 Selection and goodness-of-fit of PCs 2.5 Algebraic derivation
Cumulative Frequency & Frequency Density
For more awesome GCSE and A level resources, visit us at www.savemyexams.co.uk Frequency & Frequency Density Diagrams Question Paper 2 Level IGCSE Subject Maths (0580) Exam Board Cambridge International
UNIVERSIDAD CARLOS III DE MADRID ECONOMETRICS Academic year 2009/10 FINAL EXAM (2nd Call) June, 25, 2010
UNIVERSIDAD CARLOS III DE MADRID ECONOMETRICS Academic year 2009/10 FINAL EXAM (2nd Call) June, 25, 2010 Very important: Take into account that: 1. Each question, unless otherwise stated, requires a complete
Exponential and Logarithmic Functions. Copyright Cengage Learning. All rights reserved.
3 Exponential and Logarithmic Functions Copyright Cengage Learning. All rights reserved. 3.2 Logarithmic Functions and Their Graphs Copyright Cengage Learning. All rights reserved. What You Should Learn
PRACTICE FINAL 2 MATH 16b
PRACTICE FINAL MATH 6b Find possible relative maxima and minima of the function f (x, y) = x + y + y + In each case apply the second derivative test if possible Evaluate the integral 0 (x + ) 00dx Describe
Exercises from Chapter 3, Section 1
Exercises from Chapter 3, Section 1 1. Consider the following sample consisting of 20 numbers. (a) Find the mode of the data 21 23 24 24 25 26 29 30 32 34 39 41 41 41 42 43 48 51 53 53 (b) Find the median
A-Level Statistics SS04 Final Mark scheme
A-Level Statistics SS04 Final Mark scheme 6380 June 2017 Version/Stage: v1.0 Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a panel of
Lecture 8: Chapter 4, Section 4 Quantitative Variables (Normal)
Lecture 8: Chapter 4, Section 4 Quantitative Variables (Normal) 68-95-99.7 Rule Normal Curve z-scores Cengage Learning Elementary Statistics: Looking at the Big Picture 1 Looking Back: Review 4 Stages
Data Presentation. Naureen Ghani. May 4, 2018
Data Presentation Naureen Ghani May 4, 2018 Data is only as good as how it is presented. How do you take hundreds or thousands of data points and create something a human can understand? This is a problem
Histograms. Mark Scheme. Save My Exams! The Home of Revision For more awesome GCSE and A level resources, visit us at
Save My Exams! The Home of Revision For more awesome GCSE and A level resources, visit us at www.savemyexams.co.uk/ Histograms Mark Scheme Level Subject Exam Board Topic Sub Topic Booklet IGCSE Maths Edexcel
Describing Distributions With Numbers
Describing Distributions With Numbers October 24, 2012 What Do We Usually Summarize? Measures of Center. Percentiles. Measures of Spread. A Summary Statement. Choosing Numerical Summaries. 1.0 What Do
Lecture # 31. Questions of Marks 3. Question: Solution:
Lecture # 31 Given XY = 400, X = 5, Y = 4, S = 4, S = 3, n = 15. Compute the coefficient of correlation between XX and YY. r =0.55 X Y Determine whether two variables XX and YY are correlated or uncorrelated
Ohio s State Tests ITEM RELEASE SPRING 2016 INTEGRATED MATHEMATICS I
Ohio s State Tests ITEM RELEASE SPRING 2016 INTEGRATED MATHEMATICS I Table of Contents Questions 1 3: Content Summary and Answer Key... ii Question 1: Question and Scoring Guidelines... 1 Question 1: Sample
Section 4. Quantitative Aptitude
Section 4 Quantitative Aptitude You will get 35 questions from Quantitative Aptitude in the SBI Clerical 2016 Prelims examination and 50 questions in the Mains examination. One new feature of the 2016
SESSION 5 Descriptive Statistics
SESSION 5 Descriptive Statistics Descriptive statistics are used to describe the basic features of the data in a study. They provide simple summaries about the sample and the measures. Together with simple
MA 320 Introductory Probability, Section 1 Spring 2017 Final Exam Practice May. 1, Exam Scores. Question Score Total. Name:
MA 320 Introductory Probability, Section 1 Spring 2017 Final Exam Practice May. 1, 2017 Exam Scores Question Score Total 1 10 Name: Last 4 digits of student ID #: No books or notes may be used. Turn off
OCR Maths S1. Topic Questions from Papers. Representation of Data
OCR Maths S1 Topic Questions from Papers Representation of Data PhysicsAndMathsTutor.com 12 The back-to-back stem-and-leaf diagram below shows the number of hours of television watched per week by each
Mean/Modal Class Grouped Data
For more awesome GCSE and A level resources, visit us at www.savemyexams.co.uk Mean/Modal Class Grouped Data Question Paper 1 Level IGCSE Subject Maths (58) Exam Board Cambridge International Examinations
Statistics Lecture 3
Statistics 111 - Lecture 3 Continuous Random Variables The probable is what usually happens. (Aristotle ) Moore, McCabe and Craig: Section 4.3,4.5 Continuous Random Variables Continuous random variables
Name: 4 sin(2u) 4 sin(1.4)
Common Exam 1 Math 170, Fall, 2014 Name: Instructions For Part I. The first six (6) pages are short answer. You don t need to show work. Partial credit will be rare. 1. (10 pts.) Compute the derivatives.
Spring 2019 Exam 2 3/27/19 Time Limit: / Problem Points Score. Total: 280
Math 307 Spring 2019 Exam 2 3/27/19 Time Limit: / Name (Print): Problem Points Score 1 15 2 20 3 35 4 30 5 10 6 20 7 20 8 20 9 20 10 20 11 10 12 10 13 10 14 10 15 10 16 10 17 10 Total: 280 Math 307 Exam
DE CHAZAL DU MEE BUSINESS SCHOOL AUGUST 2003 MOCK EXAMINATIONS IOP 201-Q (INDUSTRIAL PSYCHOLOGICAL RESEARCH)
DE CHAZAL DU MEE BUSINESS SCHOOL AUGUST 003 MOCK EXAMINATIONS IOP 01-Q (INDUSTRIAL PSYCHOLOGICAL RESEARCH) Time: hours READ THE INSTRUCTIONS BELOW VERY CAREFULLY. Do not open this question paper until
NORMAL CURVE STANDARD SCORES AND THE NORMAL CURVE AREA UNDER THE NORMAL CURVE AREA UNDER THE NORMAL CURVE 9/11/2013
NORMAL CURVE AND THE NORMAL CURVE Prepared by: Jess Roel Q. Pesole Theoretical distribution of population scores represented by a bell-shaped curve obtained by a mathematical equation Used for: (1) Describing
MATH FINAL EXAM December 14, This is a Multiple choice, closed book, no calculator exam. You may use a 5 8 card. Show all your work.
MATH 115 - FINAL EXAM December 14, 2011 Name Student no. (from ID) Rec. Day & time This is a Multiple choice, closed book, no calculator exam. You may use a 5 8 card. Show all your work. PUT YOUR ANSWERS
Mathematical Methods (CAS) Unit 4 Revision Lecture Presented by Samuel Goh
Mathematical Methods (CAS) Unit 4 Revision Lecture Presented by Samuel Goh Introduction Multiple Choice Question Get familiar with the audience response software! What colour is this dress? a) Blue and
Department of Mathematics
WYNBERG BOYS HIGH SCHOOL Department of Mathematics GRADE 11 MATHEMATICS P2 21 NOVEMBER 2017 9.00AM 12.00PM MARKS: 150 TIME: 3 hours EXAMINER: Hu MODERATOR: Lr This question paper consists of printed 16
QUIZ 4 (CHAPTER 7) - SOLUTIONS MATH 119 SPRING 2013 KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100%
QUIZ 4 (CHAPTER 7) - SOLUTIONS MATH 119 SPRING 013 KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100% 1) We want to conduct a study to estimate the mean I.Q. of a pop singer s fans. We want to have 96% confidence
8th Grade. Two Variable Data. Slide 1 / 122 Slide 2 / 122. Slide 4 / 122. Slide 3 / 122. Slide 6 / 122. Slide 5 / 122. Data.
Slide 1 / 122 Slide 2 / 122 8th Grade ata 2015-11-20 www.njctl.org Slide 3 / 122 Slide 4 / 122 Table of ontents click on the topic to go to that section Two Variable ata Line of est Fit etermining the