PPT-Lesson: Standard Deviation

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. DESCRIPTION The formula for the standard deviation is EQ 221 while the formula for the weighted standard deviation is EQ 222 where w is the weight for the ith observation N is the number of nonzero weights and is the weighted mean of the observation 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. 1.. Six different books will be displayed in the library window. How many different arrangements are there? . 2.. The code for a lock consists of 5 digits. The last number cannot be 0 or 1. How many different codes are possible?. 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. Standard Deviation and a Bell Shaped Curve. Bozeman Biology Video on Standard Deviation. Standard deviation measures the spread or the variation in the data. 68% of the individuals are within 1 standard deviation . Standard Deviation. &. The Bell Curve. Standard Deviation. 1st find the . variance. for a set of data. Variance is the average squared deviation from the mean of a set of data. Computing the Variance . Unusual Values. . . Ruisheng. Zhao. OER – . www.helpyourmath.com. . What is the MEAN?. How do we find it?. The mean is the numerical average of the data set, and we use the mean to describe the data set with a single value that represents the center of the data. Many statistical analyses use the mean as a standard measure of the center of the distribution of the data.. 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.. The student will summarize, represent, and interpret data on a single count or measurement variable.. 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.. Standard Deviation. Standard Deviation – measure . how spread out the data is from the mean. Lower standard deviation:. Data is . closer to the mean. Greater likelihood that the independent variable is causing the changes in the dependent variable. 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.. 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.. 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 .