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 . Cal State Northridge. . 320. Andrew Ainsworth PhD. The standard deviation. Benefits:. Uses measure of central tendency (i.e. mean). Uses all of the data points. Has a special relationship with the normal curve. 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:. 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. Administrative Stuff:. Anna’s Office Hours. Tuesday after class: in the Co-lab. Friday 10-11am: . rm. 107. Making Sense of Overwhelming Data. “. Today companies like Google, which have grown up in an era of massively abundant data, don't have to settle for wrong models. Indeed, they don't have to settle for models at all. . The Normal Curve, Skewness, Kurtosis, and Probability. VON CHRISTOPHER G. CHUA, LPT, MST. Affiliate, ESSU-Graduate School. MAED 602: STATISTICAL METHODS. Session Objectives. In this fraction of the course on Statistical Methods, graduate students enrolled in the subject are expected to do the following:. 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. 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. Which of these variables is most likely to have a Normal distribution?. (a)Income per person for 150 different countries. (b)Sale prices of 200 homes in Santa Barbara, CA. (c)Lengths of 100 newborns in Connecticut. 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. Karl L. Wuensch. Department of Psychology. East Carolina University. Karl Pearson (1895). Population modes are not well estimated from sample . modes.. Estimated difference between mean . and . mode = 3x the . It is also known as the Gaussian distribution and the bell curve. .. The general form of its probability density function is-. Normal Distribution in . Statistics. The normal distribution is the most important probability distribution in statistics because it fits many natural phenomena. . 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 .