Slide 1Practice ProblemsAdditional Reading and ExamplesTest 2Slide 5Motivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleGoalStatisticsNotationMeasures of Central LocationMeasures of Central LocationMeasures of Central LocationExample 13Example 13Measures of Central LocationExample 14Example 14Example 14Slide 25Measures of Central LocationMeasures of Central LocationMedianMedianMedianMedianMedianExample 15Example 15Example 15Example 16Example 16Example 16Example 16DistributionsSymmetricDistributionsSkewed RightSkewed LeftSlide 45TI-83/84 CalculatorMotivating ExampleMotivating Example SolutionClicker2Slide 50STAT 210Lecture 10 Measures of CenterSeptember 19, 2016Practice ProblemsPages 94 through 97Relevant problems: IV.1, IV.2, IV.3, IV.5, IV.6 (a) and (b), and IV.11 (c) Recommended problems: IV.1, IV.2 and IV.6 (a) and (b)Additional Reading and ExamplesPages 90 through 93Test 2Monday, September 26Questions for the first 10 minutes, then test – papers due promptly at the end of class!Covers chapters 3 and 4 (pages 43 – 97)Combination of multiple choice questions and short answer questions and problems.Formulas provided; Bring a calculator!Practice Tests and Formula Sheet on Blackboard.ClickerMotivating ExampleA statistics course at a large university provides free statistics review sessions that students can use to answer questions, with help solving problems, and with help studying for tests. The course instructor is interested in the mean number of students who attend all review sessions held for this statistics course, and selects a sample of 15 review sessions spread out over a month’s time. As described, what is the population of interest for this example?Motivating ExampleA statistics course at a large university provides free statistics review sessions that students can use to answer questions, with help solving problems, and with help studying for tests. The course instructor is interested in the mean number of students who attend all review sessions held for this statistics course, and selects a sample of 15 review sessions spread out over a month’s time. As described, what is the population of interest for this example?Answer: one might be tempted to say all students currently taking statistics, but the data that is being collected is collected on the review sessions themselves, so the population of interest would be all review sessions held for this statistics course.Motivating ExampleA statistics course at a large university provides free statistics review sessions that students can use to answer questions, with help solving problems, and with help studying for tests. The course instructor is interested in the mean number of students who attend all review sessions held for this statistics course, and selects a sample of 15 review sessions spread out over a month’s time. As described, what is the parameter of interest for this example?Motivating ExampleA statistics course at a large university provides free statistics review sessions that students can use to answer questions, with help solving problems, and with help studying for tests. The course instructor is interested in the mean number of students who attend all review sessions held for this statistics course, and selects a sample of 15 review sessions spread out over a month’s time. As described, what is the parameter of interest for this example?Answer: the parameter of interest is the specific value that we would like to know for the entire population, so the parameter of interest would be the mean number of students who attend all review sessions held for this statistics course.Motivating ExampleA statistics course at a large university provides free statistics review sessions that students can use to answer questions, with help solving problems, and with help studying for tests. The course instructor is interested in the mean number of students who attend all review sessions held for this statistics course, and selects a sample of 15 review sessions spread out over a month’s time. What type of characteristic is the mean number of students who attend all review sessions held for this statistics course?Motivating ExampleA statistics course at a large university provides free statistics review sessions that students can use to answer questions, with help solving problems, and with help studying for tests. The course instructor is interested in the mean number of students who attend all review sessions held for this statistics course, and selects a sample of 15 review sessions spread out over a month’s time. What type of characteristic is the mean number of students who attend all review sessions held for this statistics course?Answer: Mean number of students attending a review session must be calculated and hence is a continuous quantitative variable.Motivating ExampleA statistics course at a large university provides free statistics review sessions that students can use to answer questions, with help solving problems, and with help studying for tests. The course instructor is interested in the mean number of students who attend all review sessions held for this statistics course, and selects a sample of 15 review sessions spread out over a month’s time. The number of students who attended these 15 review sessions is as follows. How would you describe the center of this sample of data?6 1 8 3 1 5 11 7 4 28 12 9 2 10 13GoalDetermine the value of a population parameter, designated using Greek letters (such as m, s and p).1. Central location parameter - locate the center of the distribution2. Dispersion parameter - measure the spread or variability around the centerStatisticsAll subjects of the population are rarely known. Hence the population parameter of interest can rarely be determined and must be estimated using a sample statistic. The statistics are denoted using regular letters, such as X, s, and p.Such an estimation is a type of statistical inference.Notationn = number of observations in the samplex1 = value of first observationx2 = value of second observation...xn = value of nth (last) observationMeasures of Central Location1. Mean (Average)The mean is the most often used measure of central location, and will be used in many of the inference procedures we will discuss later in the course.Measures of Central Location1. Mean (Average)The
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