PDF-Computing the standard deviation eciently MarkHoemmen August Statistics review

1 Arithmetic mean Lets say we have a set of numbers These might be heights of a collection of people the scores of the individual students in a class on a particular exam or the number of points that a particular basketball player scores in each ga. Calculators with a statistics mode will find the stdev but in this class where data sets are typically sm all an approximation based on the range of the data is ade quate The range is the difference between the largest and the smal lest in a series Let’s start with an example. I divided the class into 2 teams, A and B. Coincidentally, the quiz average for team A is the same as team B, 81.5. So we expect a graph of their scores to be about the same, right?. Professor William Greene. Stern School of Business. IOMS Department. Department of Economics. Statistics and Data Analysis. Part 2 – . Descriptive Statistics. Summarizing data with useful statistics. Standard Deviation. . summarizes . the amount . each value . deviates. from . the mean. . . SD. . tells us how . spread out . the data items are in our data set.. If data . is close together, . standard will . First center (expected value). Now - spread. 4.2 (cont.) Standard Deviation of a Discrete Random Variable. Measures how “spread out” the random variable is. Summarizing data and probability. Data. Analyzing Statistics In the News. Looking at Statistics In the News. Objectives. Students will be able to calculate the standard deviation of a set of data.. Students will be able to explain the reliability of a set of data using measures such as margin of error and standard deviation.. Objectives:. To calculate and interpret the standard deviation of a data set. To compare the standard deviation of data sets. Warm-up: Complete Problem 1, Questions 1 – 5, on pages 490 – 491.. Use. Objectives. Review vocabulary. Variance. Normal distributions. Applications of statistics. Mean absolute deviation. Mean Absolute Deviation is a measure of the . dispersion. of data (how . spread out . © 2017 W.H. Freeman and Company. 1.1-1. When ordering vinyl replacement windows, the following variables are specified for each window. Which of these variables is . quantitative. ?. a. window style: double hung, casement, or awning. Analyze the spread of data.. 4. 3. 2. 1. 0. In addition to level 3.0 and above and beyond what was taught in class,  the student may:. · Make connection with other concepts in math. · Make connection with other content areas.. Obj. : The student will be able to . . 1) Calculate standard deviation. . 2) Calculate mean deviation. HWK: Worksheet. Vocab: 1) standard deviation – a measure of how spread out the numbers are. Since the averages are the same, can we assume that the students in both classes all did pretty much the same on the exam?. The answer is… No.. The average (mean) does not tell us anything about the distribution or variation in the grades.. 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. Find the standard deviation and variance of a set of values. . Apply standard deviation and variance. . Vocabulary. Standard deviation: A measure of how far the numbers in a data set deviate from the mean. Represented by the Greek letter Sigma .