PPT-a) Here is a Normal curve for the distribution of batting averages. The mean and the

b Here is a curve showing the proportion of batting averages above 0329 Since 0329 is exactly two standard deviations above the mean we know that about 95 of batting averages will be between 0193 and 0329 Since the curve is symmetric half of the remaining 5 or 25 should be above 0329. http. ://www.youtube.com/watch?v=xDIyAOBa_yU. The Standard Normal Distribution. 1. Notice that the x axis is . standard scores. ,. also called . z scores. .. This means that the distribution has a . Explaining the Normal Distribution. Preliminaries: How to describe data. Discussion Question: How do we describe data in Statistics?. In this course, the way we describe data is by using the C.U.S.S. Method. We look at these characteristics:. Lecture 9. The Normal Curve. The Normal Curve. ‘Bell’ Shaped. Unimodal in center. Tails extend to infinity in either direction. The Ideal Normal Curve. Naturally Normal. IQ tests. Standardized tests. Click the mouse button or press the Space Bar to display the answers.. Statistics are from ______ and parameters are from ________. In a uniform distribution everything is ______ likely.. If a distribution is skewed right, which is greater, the mean or the median and why?. History. Abraham de . Moivre. (1733) – consultant to . gamblers. . Pronunciation. .. Pierre Simon . Laplace – mathematician, astronomer, philosopher, determinist.. Carl Friedrich . Gauss – mathematician and astronomer.. Objectives:. For variables with relatively normal distributions:. Students should know the approximate percent of observations in a set of data that will fall between the mean and ± 1 . sd. , 2 . sd. 2.1 Density Curves and the Normal Distribution. Differentiate . between a density curve and a . histogram. Understand . where mean and median lie on curves that are symmetric, skewed . right, and . skewed left. 2.1 Density Curves and the Normal Distributions. 2.2 Standard Normal Calculations. 2. Histogram for Strength of Yarn Bobbins. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. Bobbin #1: 17.15 g/tex. State:. Express the problem in terms of the observed variable . x. .. Plan:. Draw a picture of the distribution and shade the area of interest under the curve.. Do:. Perform calculations.. Standardize. Probability Distribution. Imagine that you rolled a pair of dice. What is the probability of 5-1. ?. To answer such questions, we need to compute the whole population for possible results of rolling two dices. . z. Scores. Chapter 6. The . Bell . Curve is Born (1769). A Modern Normal Curve. Development of a Normal Curve: Sample of 5. Development of a Normal Curve: Sample of 30. Development of a Normal Curve: Sample of 140. Section 2.2. Normal Distributions. After this section, you should be able to…. DESCRIBE and APPLY the 68-95-99.7 Rule. DESCRIBE the standard Normal Distribution. PERFORM Normal distribution calculations. Dehaish. Outlines. Normal distribution. Standard normal distribution . Find probability when known z score . Find z score from known areas . Conversion to Standard normal distribution.. Sampling distribution of sample mean . Normal random variables. The Normal distribution is by far the most important and useful probability distribution in statistics, with many applications in economics, engineering, astronomy, medicine, error and variation analysis, etc. The Normal distribution is often called the bell curve, due to its distinctive shape..