Ap stats chapter 6 test

Unit 2: Exploring Two-Variable Data. You’ll build on what you’ve learned by representing two-variable data, comparing distributions, describing relationships between variables, and using models to make predictions. Topics may include: Comparing representations of 2 categorical variables. Calculating statistics for 2 categorical variables.

Ap stats chapter 6 test. Exercise 55d. Exercise 56. Exercise 57a. Exercise 57b. Exercise 57c. Exercise 58a. Exercise 58b. Find step-by-step solutions and answers to The Practice of Statistics for the AP Exam - 9781319113339, as well as thousands of textbooks so you can move forward with confidence.

1/3. Event A occurs with probability 0.2 . Event B occurs with probability 0.8. If A and B are disjoint (mutually exclusive), then. P (A or B)= 1.0. (Add their probabilities, equaling to one. Then subtract the probabilities both will occur. Because they are mutually exclusive, this will be zero.)

AP Stats Chapter 6 Assignments (2023)) HW Answer keys. AP Stats HW 6.1 answers (TPS4e) AP Stats HW 6.2 answers (TPS4e) AP Stats HW 6.3 answers (TPS4e) AP Stats HW 6.3(#’s 92-94) answers (TPS4e) AP Stats Chapter 6 Review answers (TPS4e) AP Stats HW Review – problem R6.4 (2023 key) AP Stats AP Practice Test 6 answers (TPS4e) Geometric Probability Formula. If Y has the geometric distribution with probability of success, p, on each trial, the possible values of Y are 1, 2, 3, ... If k is any one of these values, P (y=k) = (1-p)^ (k-1)p. Mean of a Geometric Random Variable. Expected number of trials required to get the first success.Day 4: Lesson 6.3 - Sampling Distribution of a Sample Count Day 5: Quiz 6.1 to 6.3 Day 6: Lesson 6.4 - Sampling Distribution of a Sample Proportion. Day 7: Lesson 6.5 - Sampling Distribution of a Sample Mean Day 8: Lesson 6.6 - Central Limit Theorem Day 9: Quiz 6.4 to 6.6 Day 10: Chapter 6 Review Day 11: Review Day - Reese’s Pieces Day 12 ...Preparing for the National Eligibility cum Entrance Test (NEET) can be a daunting task. With thousands of students vying for limited seats in medical colleges across the country, i...its probability distribution with parameter p, the probability of a success on any trial. Geometric Probability. P (Y=k)= (1-p)^ (k-1)p. Mean of a Geometric Random Variable. uy=1/p. Study with Quizlet and memorize flashcards containing terms like Random Variable, Probability Distribution, Discrete Random Variable and more. Answer Key: Before class, you will need to write down student wages on slips of paper. The values are 1, 5, 7, 10, 15, and 25 dollars per hour. You should have a different number of slips of paper for each value. Put them in a hat and have students randomly select their wage as they come into class. Students who get $25 per hour will be ... 1.) Each trial has only two possible outcomes (success/failure). 2.) There is a fixed number of trials (n) 3.) The probability of success is the same for each trial (p) 4.) Each trial is independent of all others. Rule of Thumb #1. If n is less than 10% of the total population, we can ignore the independence clause.

Day 4: Lesson 6.3 - Sampling Distribution of a Sample Count Day 5: Quiz 6.1 to 6.3 Day 6: Lesson 6.4 - Sampling Distribution of a Sample Proportion. Day 7: Lesson 6.5 - Sampling Distribution of a Sample Mean Day 8: Lesson 6.6 - Central Limit Theorem Day 9: Quiz 6.4 to 6.6 Day 10: Chapter 6 Review Day 11: Review Day - Reese’s Pieces Day 12 ...Share your videos with friends, family, and the worldIn a simple random sample of 100 recent births, 49 were boys and 51 were girls. The most likely explanation for the difference between the observed results and the expected results in this case is. variability due to sampling. Ap stats chapter 7 test Learn with flashcards, games, and more — for free.Study with Quizlet and memorize flashcards containing terms like the following histogram represents the distribution of acceptance rates (% accepted) among 25 business schools in 1997, what % of schools have an acceptance rate above 40%, you want to use numerical summaries to describe a distribution that is strongly skewed to the left, which combination of measure of center and spread would be ...key ideas about sampling. 1. examine part of a whole. 2.random. 3.its the sample size. 1. examine a part of the whole. census is not always feasible because it is too costly, takes too much time, and the population is not static. -a sample is a subset of the population.Bonobos, like people, prefer a little attitude. Scientists looking to understand the evolutionary roots of human behavior have frequently looked to bonobos, the great ape native to...Test 6A AP Statistics Name: Part 1: Multiple Choice. Circle the letter corresponding to the best answer. 1. A marketing survey compiled data on the number of personal computers in households. If X. = the number of computers in a randomly-selected household, and we omit the rare cases of more than 5 computers, then Xhas the following distribution:AP Statistics is a one semester course that covers the topics normally associated with a college-level introductory class in Statistics. This is a rigorous course and will proceed at a brisk pace in order to cover all AP topics by the AP exam. ... AP Statistics grades will be based upon chapter exams, quizzes, projects, portfolios and 6-week ...

Study with Quizlet and memorize flashcards containing terms like the following histogram represents the distribution of acceptance rates (% accepted) among 25 business schools in 1997, what % of schools have an acceptance rate above 40%, you want to use numerical summaries to describe a distribution that is strongly skewed to the left, which combination of measure of center and spread would be ...Answer Key: Up to this point in Section 6.3, we intentionally brushed over a few important details to help students focus on more important ideas (what are the conditions for a binomial distribution, how do we calculate binomial probabilities). Now it is time to address these details. Specifically, this Activity addresses the 10% condition and ...AP Statistics Chapter 6 Practice Test Name: _____ Date: _____ Use the following for questions 1–4: A marketing survey compiled data on the number of personal computers in households. If X = the number of computers in a randomly-selected household, and we omit the rare cases of more than 5 computers, then X has the following distribution: 8. Continue your response to QUESTION 3 on this page. (b) Calculate and interpret the expected value for the number of gift cards a particular employee will receive in a 52-week year. Show your work. (c) Suppose that Agatha, an employee at the company, never receives a gift card for an entire 52-week year. 6.1 and 6.2 Practice Worksheet Extra Practice Answers More Answers Tentative Quiz Date: None Assignment #5: 61, 65, 66, 69 – 77 odd Assignment #6: 79 – 89 odd Assignment #7: 93 – 101 odd, 102, 103 Assignment #8: Chapter 6 AP Statistics Practice Test (pages 409-411) Random Variables Worksheet Chapter 6 FRQ Practice

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6 AP Statistics Formula Sheet 8 Part 1: Exploring Data 8 Variable Types 85‐Number Summary 8Other Terms to Know ... 55 Pooled t‐Interval and t‐Test 56 Chapter 25: Inferences About Paired Data 56 Pairing 56 Sample of Means 56 Confidence Interval 57 Key Assumptions and ConditionsHow to Write a Great Test for AP Statistics. How to Grade Your AP Statistics Tests. AP Free Response Questions that you can use on the Chapter 6 Test. Questions to be Sure to Include. Many of the learning targets can be addressed within a single context. Create a context with a nice probability distribution and you can ask several questions ...When to use a 1-sample t-test in long responses. -one random sample of data. -comparing that data to a hypothesis. -use mu in hypothesis (ex--> Ho: M=2 . Ha:M<2) 2-sample t-test conditions. use in problem comparing two samples independent of each other EX: hair salons. -Randomization.This question covers content from Unit 1: Exploring One-Variable Data, Unit 2: Exploring Two-Variable Data, and Unit 3: Introductions to Planning a Study of the course framework in the AP Statistics Course and Exam Description. Refer to topics 1.3, 2.2, and 3.2 and learning objectives UNC-1.A, DAT-2.B, and UNC-1.P.A test for extrasensory perception (ESP) involves asking a person to tell which of 5 shapes—a circle, star, triangle, diamond, or heart—appears on a hidden computer screen. On each trial, the computer is equally likely to select any of the 5 shapes.Study with Quizlet and memorize flashcards containing terms like The normal distribution curve can be used as a probability distribution curve for normally distributed variables., On an easy test, the mean score was 96 out of a possible 100 points. The distribution of the test scores is likely to be, X is a normally distributed random variable with a mean of 8 …

5 AP® Statistics Free Response Tips. 1. Know the language of statistics and use common phrases like “on average”, “predicted increase”, or “sufficient evidence to reject the null”. Here is an excellent handout of the Top 10 Phrases to use in your Answers for AP® Statistics. 2.AP STAT - Chapter 6: Random Variables (Crossword + Book Terms + Test) Get a hint. variance. Click the card to flip 👆. the average of the squared deviations of the values of a variable from its mean. Click the card to flip 👆. 1 / 27. AP Stats Chapter 6. A widget manufacturer estimates that the total weekly cost in dollars, C, to produce x widgets is given by the linear function C (x) = 500 + 10x, where the intercept 500 represents the fixed cost of manufacturing any number of widgets and the slope 10 represents the variable cost of producing x widgets. AP Statistics Precalculus Note Taking Guides. CHAPTER 1. CHAPTER 2. CHAPTER 3. CHAPTER 4. CHAPTER 5. ... PRACTICE TEST 6. PRACTICE TEST 7. PRACTICE TEST 8.AP Statistics (Chapter 6) Get a hint. 1. A marketing survey compiled data on the number of cars in households. If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution: *The graph is on (pg. 119)2022 College Board. 2. A dermatologist will conduct an experiment to investigate the effectiveness of a new drug to treat acne. The dermatologist has recruited 36 pairs of identical twins. Each person in the experiment has acne and each person in the experiment will receive either the new drug or a placebo.AP Stats Chapter 6 Assignments (2023)) HW Answer keys. AP Stats HW 6.1 answers (TPS4e) AP Stats HW 6.2 answers (TPS4e) AP Stats HW 6.3 answers (TPS4e) AP Stats HW 6.3(#’s 92-94) answers (TPS4e) AP Stats Chapter 6 Review answers (TPS4e) AP Stats HW Review – problem R6.4 (2023 key) AP Stats AP Practice Test 6 answers … Unit 2: Exploring Two-Variable Data. You’ll build on what you’ve learned by representing two-variable data, comparing distributions, describing relationships between variables, and using models to make predictions. Topics may include: Comparing representations of 2 categorical variables. Calculating statistics for 2 categorical variables.

Bonobos, like people, prefer a little attitude. Scientists looking to understand the evolutionary roots of human behavior have frequently looked to bonobos, the great ape native to...

AP Stats Unit 6 Study Guides. Unit 6 – Proportions Unit 6 Practice Quiz. Unit 6 Overview: Inference for Categorical Data: Proportions ... 2024 AP Statistics Exam Guide. The adults who spend their time discussing the pros and cons of hobbits vs. elves and the ones who ponder if they’d succeed better as a part of House Lannister or House Martell are...Jan 29, 2021 ... Try YouTube Kids · Kayla Scott · AP Statistics: Chapter 7 - BONUS MULTIPLE CHOICE REVIEW!!! · AP Statistics Unit 6 Review inference for propor...A test for extrasensory perception (ESP) involves asking a person to tell which of 5 shapes—a circle, star, triangle, diamond, or heart—appears on a hidden computer screen. On each trial, the computer is equally likely to select any of the 5 shapes.The scores of students (out of 100 points) on a very easy exam in which most get nearly- perfect scores but a few do very poorly. C. The prices of homes in a large city. D. The scores of students (out of 100 points) on a very difficult exam in which most get poor scores but a few do very well. E. Amounts awarded by civil court juries. 11. Day 4: Lesson 6.3 - Sampling Distribution of a Sample Count Day 5: Quiz 6.1 to 6.3 Day 6: Lesson 6.4 - Sampling Distribution of a Sample Proportion. Day 7: Lesson 6.5 - Sampling Distribution of a Sample Mean Day 8: Lesson 6.6 - Central Limit Theorem Day 9: Quiz 6.4 to 6.6 Day 10: Chapter 6 Review Day 11: Review Day - Reese’s Pieces Day 12 ... 1.) Each trial has only two possible outcomes (success/failure). 2.) There is a fixed number of trials (n) 3.) The probability of success is the same for each trial (p) 4.) Each trial is independent of all others. Rule of Thumb #1. If n is less than 10% of the total population, we can ignore the independence clause.1. The sizes, in square feet, of the 20 rooms in a student residence hall at a certain university are summarized in the following histogram. Based on the histogram, write a few sentences describing the distribution of room size in the residence hall. Summary statistics for the sizes are given in the following table. Mean.Ap Stats Chapter 6. How do you verify that its a legitimate probability distribution. Click the card to flip 👆. 2 THINGS. 1) Each # is between 0-1. 2) Add Up to 1 " The Sum". Click the card to flip 👆. 1 / 11.

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Spottr is a PWA built to view your Spotify listening stats year-round. Receive Stories from @spiderpig86 Publish Your First Brand Story for FREE. Click Here. Download free-response questions from this year's exam and past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ... Test 6A AP Statistics Name: Part 1: Multiple Choice. Circle the letter corresponding to the best answer. 1. A marketing survey compiled data on the number of personal computers in households. If X. = the number of computers in a randomly-selected household, and we omit the rare cases of more than 5 computers, then Xhas the following distribution:Created by. JACK_SHOEY. AP Statistics Chapter 7 Multiple Choice Questions. 6 terms. Jordyn_Vu. Preview. Chapter 7 AP Statistics Practice Test. 10 terms. hannahop23857.AP Statistics Chapter 6 Practice Test Name: _____ Date: _____ Use the following for questions 1–4: A marketing survey compiled data on the number of personal computers in households. If X = the number of computers in a randomly-selected household, and we omit the rare cases of more than 5 computers, then X has the following distribution:frequently used test is the DRP, or Degree of Reading Power. A researcher suspects that the mean score µ of all third- graders in Henrico County Schools is different from the national1.every probability pi is a number between 0 and 1. 2. the sum of the probabilities is 1: p1+p2+p3+...=1. Mean (expected value) of a discrete random variable. is an average of the possible values of X , but the outcomes may be equally likely. To Find the Mean ( expected Value) multiply each possible value by its probability, then add the products.Chapter 6 Test. Start Here. How to Write a Great Test for AP Statistics. How to Grade Your AP Statistics Tests. AP Free Response Questions that you can use on the … ….

AP Statistics Chapter 6 Vocabulary. Flashcards. Learn. Test. Match. Flashcards. Learn. Test. Match. Created by. yoonjungchang98. Terms in this set (32) Random variable. a random variable takes numerical values that describe the outcomes of some chance process. Probability distribution.a. AP Stats Chapter 2 test. For Questions 1 & 2: a nutritionist wants to study the effects of storage time (6, 12, and 18 months) on the amount of vitamin C present in freeze dried fruit when stored for three lengths of time. Vitamin C is measured in milligrams per 100 milligrams of fruit. Six fruit packs were randomly assigned to the 6-moth ...Stats review. Quiz 6.1B AP Statistics Name: 1. The probability distribution below is for the random variable X = number of medical tests performed on a randomly selected outpatient at a certain hospital. 0.33 0.20 0.18 0.14 0.12 0.03 (a) Make a histogram of this probability distribution in the grid: zee (b) Describe P (X 3) in words and find ...AP Statistics Chapter 6 Test. Get a hint. Discrete random variable. Click the card to flip 👆. Fixed set of possible values with gaps between them. Between 0-1. Sum of all = 1. The probability of any event is sum of all probabilities of all values. Click the card to flip 👆.We told students that every point they earn will be added to their homework score for the chapter, so this was high stakes. All students start by standing for the first round. In each round, the teacher rolls a die. If a 1-5 shows up, all standing students earn a point. If a 6 shows up, all standing students go to 0 points and are out of the ...Chapter 6 AP® Statistics Practice Test . 7 Sampling Distributions Introduction 7.1 What Is a Sampling Distribution? 7.2 Sample Proportions 7.3 Sample Means Chapter 7 Wrap-Up Free Response AP® Problem, Yay! Chapter 7 Review Chapter 7 Review Exercises Chapter 7 AP® Statistics Practice Test Cumulative AP® Practice Test 2Filing for Chapter 13 bankruptcy can provide you with some relief from your debts and set you up with a repayment plan with your creditors. When you start this type of plan, you wi... AP Statistics Chapter 6 Multiple Choice Questions. 6 terms. Jordyn_Vu. Preview. ... STATS test #1. 26 terms. quizlette74524445. Preview. PUBH 475 QUIZ 3. 47 terms ... Ap stats chapter 6 test, AP Stats Chapter 6. A widget manufacturer estimates that the total weekly cost in dollars, C, to produce x widgets is given by the linear function C (x) = 500 + 10x, where the intercept 500 represents the fixed cost of manufacturing any number of widgets and the slope 10 represents the variable cost of producing x widgets., AP Stats Chapter 6 Vocabulary. random variable. Click the card to flip 👆. variable which has numerical values that describe the outcomes of some chance process. Click the card to flip 👆. 1 / 15., Chapter 13 is one of the two main ways consumers can climb out of debt through bankruptcy, the other option being Chapter 7. Technically, a Chapter 13 bankruptcy will have little t..., A test for extrasensory perception (ESP) involves asking a person to tell which of 5 shapes—a circle, star, triangle, diamond, or heart—appears on a hidden computer screen. On each trial, the computer is equally likely to select any of the 5 shapes., Start Here. How to Write a Great Test for AP Statistics. How to Grade Your AP Statistics Tests. AP Free Response Questions that you can use on the Chapter 10 Test., Tue, May 7, 2024. 12 PM Local. AP Statistics Exam. Add to Calendar. Exam Format. The AP Statistics Exam has consistent question types, weighting, and scoring guidelines …, AP Statistics Semester One Review Part 2 Chapters 6-9. AP Statistics Topics Describing Data Pr oducing Data Pr obability Statistical Inf er ence. Chapter 6: Probability This cha pter intr oduced us to the basic ideas behind pr obability and the study of randomness. W e learned ho w to calculate and ... Final Exam 50 Questions Multiple Choice ..., Test 6A AP Statistics Name: Part 1: Multiple Choice. Circle the letter corresponding to the best answer. 1. A marketing survey compiled data on the number of personal computers …, Cannot be determined. 2. Multiple Choice. 30 seconds. 1 pt. About 90% of subjects solved 3 or fewer puzzles. About 68% of subjects solved between 0.9 puzzles less and 0.9 puzzles more than the mean. The typical subject solved an average of 0.9 puzzles. The number of puzzles solved by subjects typically differed from the mean by about 0.9 puzzles., AP Statistics Chapter 6 True False. 12 terms. Missathespy. Other sets by this creator. ... Stats test 2. 13 terms. walkerharris34. Speech Ch 8. 12 terms. dvmllr4 ..., Start Here. How to Write a Great Test for AP Statistics. How to Grade Your AP Statistics Tests. AP Free Response Questions that you can use on the Chapter 10 Test., 6.1 and 6.2 Practice Worksheet Extra Practice Answers More Answers Tentative Quiz Date: None Assignment #5: 61, 65, 66, 69 – 77 odd Assignment #6: 79 – 89 odd Assignment #7: 93 – 101 odd, 102, 103 Assignment #8: Chapter 6 AP Statistics Practice Test (pages 409-411) Random Variables Worksheet Chapter 6 FRQ Practice, AP Statistics. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket, Try our AP Stats unit 6 test. These questions focus on the ideas of proportion and sample proportion, and using sample proportion as well as a confidence interval (based on a desired degree of confidence) to give some idea of what the population proportion could be. testing and Type I and II errors. Question 1., AP Statistics: Chapter 7: Sampling Distribution Vocabulary. Teacher 17 terms. KKooker. Preview. 81-99 act. 19 terms. quizlette5061918. Preview. Chapter 11: Inference for Categorical Data. ... ASU ECN221 Final Exam - Asghari-Ghara - V2. 120 terms. quizlette7681848. Preview. Terms in this set (16) variance., Our resource for The Practice of Statistics for AP includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. Find step-by-step solutions and answers to ..., Just like the lesson from yesterday, students will be trying to estimate the mean Chapter 6 test score using a sample mean (statistic). Today we are looking at the much more realistic population of all AP Stats students (85 this year at East Kentwood High School!), Jan 29, 2021 ... Try YouTube Kids · Kayla Scott · AP Statistics: Chapter 7 - BONUS MULTIPLE CHOICE REVIEW!!! · AP Statistics Unit 6 Review inference for propor..., 1. Use that data in the two-way table to calculate the marginal distribution (in percents) of opinions. 2. Make a graph to display the marginal distribution. Describe what you see. Association. When specific values of one variable end to occur in common with specific values of the other., Day 4: Lesson 6.3 - Sampling Distribution of a Sample Count Day 5: Quiz 6.1 to 6.3 Day 6: Lesson 6.4 - Sampling Distribution of a Sample Proportion. Day 7: Lesson 6.5 - Sampling Distribution of a Sample Mean Day 8: Lesson 6.6 - Central Limit Theorem Day 9: Quiz 6.4 to 6.6 Day 10: Chapter 6 Review Day 11: Review Day - Reese’s Pieces Day 12 ..., AP Statistics chapter 10 review. 29 terms. lexidedeaux. Preview. AP Stats Chapter 11. 18 terms. magslaird. Preview. Business Statistics Midterm. 28 terms. klent3137. ... Test statistic formula with substitution, actual value of test statistic 6. p-value 7. Two part conclusion statement in context., 8. Continue your response to QUESTION 3 on this page. (b) Calculate and interpret the expected value for the number of gift cards a particular employee will receive in a 52-week year. Show your work. (c) Suppose that Agatha, an employee at the company, never receives a gift card for an entire 52-week year. , AP Statistics. Chapter 6 - Random Variables. Agenda. ... 11/15 - FRAPPY 11/18 - TEST - Chapter 6. Homework. If you have an 85 or above average on the day of the test (tentatively October 25th), then you do not have to turn in your homework for this chapter! I would still advise doing it. Chapter 6 - HW Summary: starts on page 353: 4, 6, 10, 14 ..., AP Statistics Chapter 6 Flashcards | Quizlet. Binomial Coeffiecent. Click the card to flip 👆. The number of ways of arranging k successes among n observations. Click the card to flip 👆. 1 / 57. Flashcards. Learn. Test. Match. Q-Chat. Created by. DelilahL. Students also viewed. Binomial Random Variables Assignment. 9 terms. Emrisina. Preview., If you’re using assistive technology and need help accessing the PDFs in this section in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. For information about taking AP Exams, or other College Board assessments, with accommodations, visit the Services for Students with ..., Quiz yourself with questions and answers for AP Stats Unit 6 Test, so you can be ready for test day. Explore quizzes and practice tests created by teachers and students or create one from your course material., Cannot be determined. 2. Multiple Choice. 30 seconds. 1 pt. About 90% of subjects solved 3 or fewer puzzles. About 68% of subjects solved between 0.9 puzzles less and 0.9 puzzles more than the mean. The typical subject solved an average of 0.9 puzzles. The number of puzzles solved by subjects typically differed from the mean by about 0.9 puzzles., Study with Quizlet and memorize flashcards containing terms like How many individuals would you interview in order to find the first person who is HIV-positive? 1.a., Deal 7 cards from a standard deck of 52 cards. Let H= # of hearts dealt. 1.b., What is the probability that you must sample exactly 5 twelve-year-olds to find the first one who can pick out …, Stats review. Quiz 6.1B AP Statistics Name: 1. The probability distribution below is for the random variable X = number of medical tests performed on a randomly selected outpatient at a certain hospital. 0.33 0.20 0.18 0.14 0.12 0.03 (a) Make a histogram of this probability distribution in the grid: zee (b) Describe P (X 3) in words and find ... , Share your videos with friends, family, and the world, The figure shows the probability distribution of a discrete random variable X. Note that the cursor is on the histogram bar representing a value of 6. Which of the following best …, Automotive crash testing has saved thousands of lives by making cars safer. Learn about the tests, the ratings and how the dummies tell engineers what happens in an accident. Adver..., Study with Quizlet and memorize flashcards containing terms like the following histogram represents the distribution of acceptance rates (% accepted) among 25 business schools in 1997, what % of schools have an acceptance rate above 40%, you want to use numerical summaries to describe a distribution that is strongly skewed to the left, which combination of measure of center and spread would be ...