# Multiple Choice Questions On Variance And Standard Deviation

Combination vs. Let's derive that formula. Which of the following involves inferential statistics as opposed to descriptive statistics? A. Cover photo: Praying mantis, 2003 Gary Simon, 2003 2. D) variance of returns. standard deviation and, therefore, reliability coefficient of scores obtained on multiple-choice exams. Which of the following samples would have the largest value for sample variance? a. Questions 9 and 10 relate to the following information. If the quiz in Exercise 1 was a multiple-choice quiz with ﬁve choices for each question, ﬁnd the probability of. 572 Variance=57. The expected value or _____ of a random variable is the center of its distribution. It must be 8. Standard deviation and variance tells you how much a dataset deviates from the mean value. Standard Deviation Formula In the above formula, Sx stands for standard deviation of the sample. If a its mean and standard deviation. Practice Final Exam Multiple-Choice and True-False Questions 1) We are using a regression model to make a height prediction for a child of a specified age. mean equals the standard deviation. Defining a head as a "success," Figure 1 shows the probability of 0, 1, and 2 successes for two trials (flips) for an event that has a probability of 0. Question 20 of 20 The square root of the variance of statistical distribution equals the _____ of that distribution. The standard deviation is the: a. x P(x) 0 0. , either at least 1 standard deviation above the mean, or at least 1 standard deviation below mean). Learning Objectives. FRANKLIN UNIVERSITY PROFICIENCY EXAM (FUPE) STUDY GUIDE There are no single answer or multiple-choice questions. Measures of dispersion quiz has multiple choice questions (MCQ), variance and standard deviation quiz questions and answers to practice. Chapter 07 Optimal Risky Portfolios Answer Key Multiple Choice Questions 1. The following are practice questions that reflect the style and type of questions that you should expect to see on the first exam. 1) The table below lists the populations, in thousands, of several rural western counties. You may bring to the exam: 1. Below is the implementation of above formula:. Calculate the standard deviation of the following sample of size four: 3, 4, 7, 10. Mean, Median and Mode 2. Multiple choice is the same format as for the midterm. must complete a quiz of 5 multiple choice questions. - The standardized variance value. 5 and for 4 it's 0. variance d. σ (Greek letter sigma) is the symbol for the population standard deviation. Students calculate the standard. A single, overall cost of capital is often used to evaluate projects because: a. Its probability distribution is given in the table. What is the value of Σ(X – 2 )2 for the following scores? Scores: 2, 3, 5. Fail to reject the null hypothesis and conclude the variance is the same. Standard costing, customer profitability and variance analysis quiz has 26 multiple choice questions. Suppose that you have not studied and so must guess (select one of the five answers in a completely random fashion) on each question. Variance and standard deviation of a sample. CHAPTER THREE DESCRIPTIVE STATISTICS: NUMERICAL MEASURES MULTIPLE CHOICE QUESTIONS In the following multiple choice questions, circle the correct answer. The mean of a set of 150 values is 35, its median is 33, its standard deviation is 6, and its IQR is 12. range Answer: b. B the difference between the highest and lowest scores. 16) The mean SAT verbal score is 401, with a standard deviation of 97. Mean and standard deviation versus median and IQR. Suppose that you have not studied and so must guess (select one of the five answers in a completely random fashion) on each question. 2): Pieces | 2 | 3 | 4 Probability | 0. Find the probability that a randomly chosen athlete, (a) is taller than 188 cm, (3) (b) weighs less than 97 kg. The mean of a set of 150 values is 35, its median is 33, its standard deviation is 6, and its IQR is 12. sample variance (S2) = standard deviation (S) = Given M proportions for a sample of N multiple-choice question correct answer choices, where each of the questions. 20 is: a) 100 b) 80 c)20 d) 16 A community college has 150 word processors. Hall will multiply his or her number of correct answers by 10. Here is the information obtained. Remains the same D. Cars arrive at a tollgate at an average rate of 12 cars per hour. The first exam will be comprised of multiple choice questions which will test your ability to define, identify and apply the terms and concepts we have covered. DESCRIBING DATA: SUMMARY MEASURES. The mean of the sample sum is n* μ and standard deviation is (σ*√n). The standard deviation is $\$3,270$. For problems in Part II, only final answer with no work shown worth zero points. Then square each term and find out the. Variance and standard deviation (ungrouped data) Introduction In this leaﬂet we introduce variance and standard deviation as measures of spread. P must be multiple of 0. 6 grams, what is the standard deviation? A. The aim of this study was to evaluate the effectiveness of anger control on unsupervised girl’s anger. Calculating portfolio variance for a portfolio of two assets with a given correlation is a fairly trivial task – you use the formula to get the portfolio variance, and take the square root to get the standard deviation or volatility. It seems to me a multiple choice question population mean from sample mean without knowing standard deviation or variance? 1. Suppose that you have not studied and so must guess (select one of the five answers in a completely random fashion) on each question. Other guidelines focus on sample size. sample variance (S2) = standard deviation (S) = Given M proportions for a sample of N multiple-choice question correct answer choices, where each of the questions. The questions in each quiz are based on the material covered at the lecture the previous week, some of which might be from examples which are introduced at the lectures, but do not necessarily appear in the Unit Book. But what happens in this situation: the mean is 4meters and the standard deviation is 0. Keywords: difficulty index, discrimination index, distractor efficiency, item analysis, multiple choice questions, non-functional distractor (NFD) I. the mean of YBAR is 21. C) the estimator minus its. The fundamental statistical indicators are: A. The analysis of data on multiple responses: a. 2 and Nov. For Part A, multiple choice questions, place only the letter corresponding to answer you wish to be graded in the space provided on page 2. standard deviation and variance of the data. is less than 1 standard deviation above the claimed mean. Full solutions will be posted later. Why are forecasting textbooks full of applied statistics? A) Statistics is the study of uncertainty. The graphs below give the pmf for 3 random variables. Is the CV 1. 5 /97)*100 = 47. What is the median population? County Population (thousands) Aldridge 13 Cleveland 10 McCarthy 16 Pope 20 Sorrell 15 Wilson 25 A) 17. I have 6 questions and i can only post them after you answer each questions because each question is divided to multiple questions. You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. This contains 10 Multiple Choice Questions for JEE Test: Mean And Variance Of A Random Variable (mcq) to study with solutions a complete question bank. 061 The population standard deviation is 3. She would now like to determine whether or not the mean age of her customers is over 35. Multiple choice is the same format as for the midterm. the variance of the. (10 points) What is the variance and standard deviation in weight of my coin collection? 11. We notice that Student A4 in Section A and Student B2 in Section B have the same numerical score. Asked by No products are associated with this question. Population. And Σ stands for summation i. For students who guess at all answers, find the MEAN, and the STANDARD DEVIATION, for the number of correct answers. If I am just given a small set of numbers, rather than told I have a sample drawn from a larger population, shouldn't I assume that that set is the complete set, and therefore use population SD?. Take the quiz test your understanding of the key concepts covered in the chapter. Let's calculate the Mean, Variance and Standard Deviation for the Sports Bike inspections. Test yourself on these multiple-choice questions. increasing noise standard deviation. Dec 19, 2018 · Multiple regression analysis intends to provide the ability to make two different assessments: (a) the overall effectiveness of using a set of predictors to estimate the value of a dependent variable (measured by the multiple R) and (b) provide an estimate of the relative contribution of each independent variable in making the prediction (using both standardized and unstandardized coefficients). Each question has five possible answers, and only one of them is correct. 70? Statistics Binomial and Geometric Distributions Calculating Binomial Probabilities 1 Answer. The fundamental statistical indicators are: A. Variance is the square root of the standard deviation B. You can access the multiple-choice questions. A) standard deviation B) variance C) median D) range answer: C 7. I know the standard deviation is the square root of the variance correct?. D) It is exactly 4 standard deviations from the mean. The yield of a variety of wheat was measured on a series of small plots. Let's derive that formula. These different types of multiple-choice questions might result in a different expectation for the optimal number of options per question. Reject the null hypothesis and conclude the variance is the same. Statistics standard deviation and mean [ 1 Answers ] A test consists of 80 multiple choice questions, each with five possible answers only one of which is correct. Fail to reject the null hypothesis and conclude the variance is different. CHAPTER 9 SAMPLING DISTRIBUTIONS MULTIPLE CHOICE QUESTIONS In the following multiple choice questions, please circle the correct answer. These different types of multiple-choice questions might result in a different expectation for the optimal number of options per question. Provide an appropriate response. USDA-ARS?s Scientific Manuscript database. Variance & Standard Deviation MCQs with Answers. the median is the best choice variance, and standard deviation of. ? A quiz consists of 20 multiple-choice questions. The line that connects the. Variance is the square of the standard deviation C. , stdevx = 1. Question One (30 marks) Unlike most other websites we deliver what we promise;. In each case some information is given about a function. Self test multiple choice questions> Chapter 05; Question 5. a What is the expected value of the number Y of questions that will be correctly answered? b Find the standard deviation of Y. The following Java applets compute the needed Runs Size based on current avialable information ontained from a pilot simulation run, to achieve an acceptable accuracy and/or risk. Multiple choice Practice Set 3 This set of questions covers material on continuous distributions from Chapter 3. Oct 10, 2014 · Multiple Choice Questions 1. If xrepresents a population how. This is because the standardized beta values tell us the number of standard deviations by which the outcome will change as a result of one standard deviation change in the predictor. How many 4s do we expect when we roll 600 dice? 100 seems pretty obvious, and students rarely question the fact that for a binomial model µ = np. Once a portfolio is diversified, the only risk remaining is systematic risk, which is measured by beta. Clicking on the letter of your choice will give you immediate feedback on whether you are correct. DESCRIBING DATA: SUMMARY MEASURES. Equal to 0 d. wpd 2/18/07) Hypothesis Test (ANOVA) Null and Alternative Hypotheses The name analysis of variance may mislead some students to think the technique is used to compare group variances. A slightly more complex calculation is called sample standard deviation. Variance and Standard Deviation MCQs Quiz Online PDF Download. Aug 02, 2013 · Guessing on Multiple Choice Tests The mean is n*p and the variance is The average was 7. A weighted average of the standard deviations of the assets in the portfolio B. C the score that occurs with the greatest frequency. Part 2 is 5-8 long answer questions, many with multiple parts. By continuing to use this site you consent to the use of cookies on your device as described in our cookie policy unless you have disabled them. PSY-380 Week 3 Exam 1 Introduction to Probability and Statistics (Multiple Choice Questions) (Click on “BUY NOW” to Complete Purchase & Download Answers Immediately) Description: This exam covers Chapters 1-7. A) standard deviation B) variance C) median D) range answer: C 7. What are the sample mean and the sample standard deviation (to 2 decimal places)? (Note that we use σ n − 1 when calculating the sample standard deviation. B) has a mean of 0 and a standard deviation of 1. CollegeJobMilitaryOther 1968 56 73 85 7 1998 173. If the variance of a probability was com-puted to be 4 grams, what is the standard deviation? (a) 16 (b). 50 Variance 1. The standard deviation for each of these three sections is 2. Multiple choice questions. The 2nd and 98th percentile were found to be 29 bushels/acre and 41 bushels/acre respectively. Next lesson. Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. X a discrete random variable with mean E (X ) = µ. Variance and Standard Deviation ,Statistics - Get topics notes, Online test, Video lectures, Doubts and Solutions for CBSE Class 11-science on TopperLearning. Practice statistics multiple choice questions on variance and standard deviation, objective type quizzes for learning online measures of dispersion tutorial. The weighted average of the possible values that a random variable X can assume, where the weights are the probabilities of occurrence of those values, is referred to as the: a. An introductory statistics text for the social sciences. Choose the one alternative that best completes the statement or answers the question. This is computed in Julia as: In [6]: sqrt (sum(x2. the quartiles c) the standard deviation d. 7 multiple choice questions, worth 56 points. Jun 06, 2018 · This set of Statistical Quality Control Multiple Choice Questions & Answers (MCQs) focuses on “Control Charts for Multiple-Stream Processes – 2”. 3, while Y has expected value 4. The first exam will be comprised of multiple choice questions which will test your ability to define, identify and apply the terms and concepts we have covered. Assuming that all responses are random guesses, find the probability that among 12 test subjects, exactly five answer the question correctly. Once your responses come back, you'll be able to see the mean, median, maximum, minimum, and standard deviation alongside your results. 9 and z = 2. Fail to reject the null hypothesis and conclude the variance is the same. C) has a mean of 1 and a variance of 0. Multiple choice Practice Set 3 This set of questions covers material on continuous distributions from Chapter 3. Review for Exam 2 Instructions: Please read carefully • The exam will have 21 multiple choice questions and 5 work problems. range Answer: b 2. systematic risk, nondiversifiable risk. Please note that this is just a preview of a school assignment. Try testing yourself before you read the chapter to see where your strengths and weaknesses are, then test yourself again once you've read the chapter to see how well you've understood. This is the currently selected item. Standard deviation may seem confusing, but this quiz and worksheet will help you sort out just how to solve these types of problems. Variance & Standard Deviation MCQs with Answers. Measures of dispersion quiz, variance and standard deviation multiple choice questions (MCQs) to practice statistics test with answers for online university. In each case some information is given about a function. 13) A student receives test scores of 62, 83, and 91. A student takes an eight question true-false exam and guesses on each question. Choose the one alternative that best completes the statement or answers the question. Binomial Distribution: Example #1. There is a scarcity of the. Statistics can help understand a phenomenon by confirming or rejecting a hypothesis. Population standard deviation looks at the square root of the variance of the set of numbers. I can really go for renaming standard deviation, but it should not be abolished. Other guidelines focus on sample size. The Data Analysis ToolPak has a Descriptive Statistics tool that provides you with an easy way to calculate summary statistics for a set of sample data. There is a technical discussion of the consequences of measurement noise in an independent variable. Answered by Penny Nom. The student's final exam score is 88 and homework 13) score is 76. standard deviation B. 368) 1/2 = 3. A weighted average of the standard deviations of the assets in the portfolio B. systematic risk, nondiversifiable risk. Note that there are some limitations on the kinds of graphs that we can create. Should I use KR20 or KR21 to calculate the reliability coefficient of a test? (standard deviation squared) I have calculate Variance for each question. If the lowest passing grade is six out of eight. There are many packages that handle such problems. (a) Variance (b) Standard deviation (c) Coefficient of variation (d) Coefficient of standard deviation MCQ No 4. Example #2 Computers from a particular company are found to last on average for three years without any hardware malfunction, with a standard deviation of two months. 1) Standard deviation from Grouped Frequency Table : Statistics Edexcel January 2010 Q3(a)(b)(c. In the Treynor-Black model The standard deviation of the returns on the market index is 20%. Given a matrix of size n*n. Guidelines exist to help you make that choice. iii Find the variance and the standard deviation of X, correct to 4 decimal question˜1, which is a multiple choice question with 5 possible answer choices. Chapter 07 Optimal Risky Portfolios Answer Key Multiple Choice Questions 1. Continuous. A local cable system, using a sample of 500 subscribers, estimates that 40 percent of its subscribers watch a premium channel at least once per day. Standard costing and variance analysis [Quizzes] Standard costing and variance analysis. Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Measures of dispersion multiple choice questions and answers (MCQs), measures of dispersion quiz answers, MBA business statistics test prep 8 to learn statistics online for business analyst certification. Self-Test Questions: Multiple Choice: Multiple Choice completion time follows a normal distribution with a mean of 21 days and a standard deviation of 4 days. Example: You hold a survey about college student’s GRE scores and calculate that the standard deviation is 1. This contains 10 Multiple Choice Questions for JEE Test: Mean And Variance Of A Random Variable (mcq) to study with solutions a complete question bank. If distribution of the data is not normal or if one is not sure about the distribution, it is safer to use non-parametric tests. Summary statistics includes Mean, Standard Error, Median, Mode, Standard Deviation, Variance, Kurtosis, Skewness, Range, Minimum, Maximum, Sum, and Count. Everybody scored Question 3 and 4 (1. In a multiple choice test with 4 answer options, the probability of guessing correct is 25% (assuming you have no knowledge about the materials at all). Mean, Median and Mode 2. You have to square the constant because the variance is in square units:. change the risk-free rate and find the utility level that results in the same standard deviation. Population vs. Skill: Distinguish between a parameter and a statistic and recognize the concept of sampling variability. This entire discussion is done for simple regression, but the ideas carry over in a complicated way to multiple regression. Based on this. Questions 5-9 are based on material that will be discussed on Nov. increasing noise standard deviation. These graphs represent the scores on two quizzes. 00175% or 0. • Therefore, the standard deviation of a portfolio that combines the risk-free asset with risky assets is the linear proportion of the standard deviation of the risky asset portfolio. X a discrete random variable with mean E (X ) = µ. Multiple choice questions on hypothesis testing,regression Add Remove This content was COPIED from BrainMass. Standard wage rates are identified using rates of pay for employees required to carry out the operation, which are normally set by the company. erage score mean and standard deviation for Binary, 1-of-N (exactly one choice must be selected), and K-of-N (several choices may be selected) multiple choice questions. All of the above. Standard Deviation vs. C) has a mean of 1 and a variance of 0. How does sample variance influence the likelihood of rejecting the null hypothesis and measures of effect size such as r. Question 13. Review Questions Multiple Choice Questions forReview 1. MULTIPLE CHOICE. "multiple choice" question: select the correct answer. Choose the one alternative that best completes the statement or answers the question. Sample standard deviation and bias. Question 10 of 25 1. If sample variance is computed by dividing SS by df = n – 1, then the average value of the sample variances from all the possible random samples will be ____ the population variance. Find the mean, variance, and standard deviation for the number of heads when ten coins are tossed. Sometimes increases and sometimes decreases. A random sample of 5 0 individuals resulted in an average income of $15,000. A systematic method of presenting statistical data in vertical columns and horizontal rows according to some classification of subject matter. Consider a graph with standard deviation on the horizontal axis and expected return on the vertical axis. Take the quiz test your understanding of the key concepts covered in the chapter. standard deviation b. LECTURE NOTES #7: Residual Analysis and Multiple Regression Reading Assignment KNNL chapter 6 and chapter 10; CCWA chapters 4, 8, and 10 1. The calculations of probabilities, expected value and variance are all different from the ones we just covered (for discrete probability distributions). The following Java applets compute the needed Runs Size based on current avialable information ontained from a pilot simulation run, to achieve an acceptable accuracy and/or risk. Class-11 Maharashtra Board - Shortcut Method To Find Variance and Standard Deviation - LearnNext offers animated video lessons with neatly explained examples, Study Material, FREE NCERT Solutions, Exercises and Tests. 5 /97)*100 = 47. Because the standard deviation does not require squaring of deviations, it is easy to tell whether deviations are positive or negative. 3049 Response to question 3 Standard Deviation To get standard deviation we find the square root of variance S=â€‘X-M2n-1 Step 1: calculation of variance. Multiple choice questions; Which of the following is not seen as an advantage of the gold standard? a) The maximum level of price deviation allowed by. What is the value of Σ(X – 2 )2 for the following scores? Scores: 2, 3, 5. Find the probability of having four or less correct answers if a student attempts to answer every question at random. Use this interactive quiz and worksheet to test your knowledge of standard deviation. Choose the one alternative that best completes the state question. Variance is twice the standard deviation D. PART A: Multiple Choice Questions (Knowledge) Find the range, the variance, and the standard deviation for the given set of data, to 2 decimal places. Answer Questions and Earn Points !!! You can now earn points by answering the unanswered questions listed. This activity contains 15 questions. STATS FINAL PT. Standard deviation is the variance measure that is in the same units as the original data. B has an expected rate of return of 10% and a standard deviation of return of 30%. All of the above. Multiple Choice Questions: The variance and mean for a given set of data is 25 and 64 respectively. Oct 10, 2014 · Multiple Choice Questions 1. Review for Exam 2 Instructions: Please read carefully • The exam will have 25 multiple choice questions and 5 work problems • You are not responsible for any topics that are not covered in the lecture note. Take the quiz test your understanding of the key concepts covered in the chapter. The average monthly salary of all female workers is $40,000. 96 The standard deviation is the square root of the variance; the square root of 3. Given a matrix of size n*n. One-Way Analysis of Variance (ANOVA) Example Problem Introduction Analysis of Variance (ANOVA) is a hypothesis-testing technique used to test the equality of two or more population (or treatment) means by examining the variances of samples that are taken. You may bring to the exam: 1. But what happens in this situation: the mean is 4meters and the standard deviation is 0. Problem Description: A multiple choice test has four possible answers to each of 16 questions. At Podunk University, otherwise known as PU, the scores on the English final are approximately normally distributed, with a mean of 76 and a standard deviation of 12. C) Forecasting attempts to reduce the uncertainty for uncertain events. CollegeJobMilitaryOther 1968 56 73 85 7 1998 173. To see what we mean by spread out, consider graphs in Figure 1. Standard deviation and varience is a measure which tells how spread out numbers is. Without variance there will be no result. There are several ways to calculate the reliability of multiple choice examinations. 3, for 3 pieces it's 0. • Questions in the multiple choice section will be either concept or calculation questions. A Sample Mid-Term Examination of Econometrics Multiple Choice 1) the slope by the standard deviation of the explanatory variable. Aug 19, 2019 · Question 9. 19 Add Solution to Cart Remove from Cart. Choose the one alternative that best completes the statement or answers the question. A student takes a multiple-choice test that has 20 questions. - The standardized variance value. The average monthly salary of all female workers is $40,000. DESCRIBING DATA: SUMMARY MEASURES. Specification = 1. This scenario applies to Questions 1 and 2: A study was done to compare the lung capacity of coal miners to the lung capacity of farm workers. 13) A student receives test scores of 62, 83, and 91. CHAPTER 9 SAMPLING DISTRIBUTIONS MULTIPLE CHOICE QUESTIONS In the following multiple choice questions, please circle the correct answer. The study results in this field indicated the effectiveness of anger management training on reducing aggression [15] , increasing compatibility and social skills [16] , and increasing insight [17] [18]. the level of confidence c. • Questions in the multiple choice section will be either concept or calculation questions. For the given data set, find the mean, the deviation from the mean for each value listed, the variance and the standard deviation. is less than 1 standard deviation above the claimed mean. In each case some information is given about a function. Multiple choice Practice Set 3 This set of questions covers material on continuous distributions from Chapter 3. For each student, I calculated their. STATS FINAL PT. Fail to reject the null hypothesis and conclude the variance is different. The higher the probability of an event, the more likely it is to occur, i. This is not meant as a full review. Introduction A multiple-choice question (MCQ) consists of a stem with a question line at its end or underneath it, followed by a number of options. None of the above. Multiple choice Practice Set 3 This set of questions covers material on continuous distributions from Chapter 3. FRANKLIN UNIVERSITY PROFICIENCY EXAM (FUPE) STUDY GUIDE There are no single answer or multiple-choice questions. MULTIPLE CHOICE TEST BANK Note: The correct answer is denoted by **. B) has a mean of 0 and a standard deviation of 1. Include a in the results. 1 Expected Value of Discrete Random Variables When a large collection of numbers is assembled, as in a census, we are usually interested not in the individual numbers, but rather in certain descriptive quantities such as the average or the median. variable duration. R Command Question 3. 1) Assume that the change in daily closing prices for stocks on the New York Stock Exchange is a random variable that is normally distributed with a mean of $0. RANDOM VARIABLES AND DISCRETE PROBABILTY DISTRIBUTIONS MULTIPLE CHOICE QUESTIONS In the following multiple-choice questions, please circle the correct answer. Personally, I have. In the base of R it can be done using aggregate like this (assuming DF is the input data frame):. MULTIPLE CHOICE QUESTIONS. sample statistic d. c Calculate the intervals ± 20 and ± 30. FRANKLIN UNIVERSITY PROFICIENCY EXAM (FUPE) STUDY GUIDE There are no single answer or multiple-choice questions. 1) In its standardized form, the normal distribution A) has an area equal to 0. *fx)-mean2^2). Many new terms are introduced in this chapter. We will assume that the student either answer correct or incorrect. Study Psych 411 Multiple Regression Flashcards at ProProfs - exam 1 (1 - 27) Unit 4 Multiple Choice Assessment - The standard deviation of the relevant X. standard deviation B. Students are given an opportunity to develop an understanding of the computation of standard deviation and then they are asked questions intended to build a conceptual understanding of. 72 Means and Variances of Random Variables - Free download as Powerpoint Presentation (. B) Real-world business decisions involve risk and uncertainty. May 08, 2016 · Standard Deviation: AP Statistics Crash Course Review Standard deviation is used to test variability in statistics by calculating the average distance from the mean of all the values in a data set. A portfolio consisting of positive amounts of two securities with positive standard deviations but with a correlation of returns equal to zero has a global minimum variance portfolio that has a standard deviation: a. com - View the original, and get the already-completed solution here!.