PPT-Normal Distribution and Z-scores

Intro to Statistics What is Normal Distribution Modeled by a Bellshaped curve Symmetric about the mean Mean average and the Median middle are the same number Or at least very close Can look tall and skinny short and wide or somewhere in the middle . 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:. History. Abraham de . Moivre. (1733) – consultant to . gamblers. . Pronunciation. .. Pierre Simon . Laplace – mathematician, astronomer, philosopher, determinist.. Carl Friedrich . Gauss – mathematician and astronomer.. Distributions. Definition. Many sets of data fit what is called a Normal Distribution: EG.  . Examples when the Normal distribution arises. Looking at the national averages for NCEA.. When measuring heights, weights, arm spans, hand spans . of 80 Freshman Student on the Midterm Algebra Exam . 82 51 92 89 63 67 64 82 . 57 96 81 76 94 94 68 68 . 75 53 76 82 62 71 72 86 . 50 79 84 80 77 77 84 93 . 90 63 63 76 65 72 83 59 . 62 76 71 32 93 57 95 54 . 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. . : . What’s going on with the growing number of scores on YouTube. MLA annual meeting, Orlando, Florida. February 24, 2017. Matt Ertz, University of Louisville. matthew.ertz@louisville.edu. Background. Many . studies generate large numbers of data points, and to make sense of all that data, researchers use statistics that . summarize. the data, providing a better understanding of overall tendencies within the distributions of scores. 68%-95%-99.7% Rule. Areas under Normal Curve. Areas under Normal Curve(cont). Example: Normal Distribution. The brain weights of adult Swedish males are . approximately. normally distributed with mean μ = 1,400 g and standard deviation . 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. What it is. History. Uses. 1. Normal Curve Characteristics. Inflection points (at and – 1 SD). Where slopes changes from down to out.. Axes . X –axis (abscissa) =Scores (as usual). Y –axis (ordinate) = . Understanding SBA Scores From the Assessment development Team Introduction Purpose : to answer some basic questions about Smarter Balanced Summative and Interim test scores Audience : DACs, principals, data/instructional coaches, teachers, parents Bell Ringer Mensa, the largest high-IQ society, accepts SAT scores as indicating intelligence. Assume that the mean combined SAT score is 1500, with standard deviation 300. Jacinto scored a combined 2070. The Normal Curve. Notation. σ. = Population SD. S = Sample SD. µ = Population Mean. x̄ = Sample Mean. The Normal Curve. An individual has a score of . 26. on a leadership test.. Is that person a particularly good leader?. 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..