ECOR 1010 Lecture Notes - Lecture 11: Variance, Standard Deviation, Interquartile Range

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Motivation: to learn methods of statistical analysis: The necessity of good experimental design, technique and data-analysis to achieve high quality results. Overview of statistics: statistical analysis is the science of data collection and data interpretation. A statistic is a specified, determinable function of a set of observations (data set) Given x measures of some random quantity: i n you can calculate various statistics such as these examples: n is the sample size n. 1 i x i is the sample sum x. 1 i x i is the sample mean (arithmetic average) 2 x i is the sample sum of squares n i. R max( ) min( ), the sample rang x x e. Statistics are numbers that we use to describe a large number of measurements. Depending on what is being measured, some statistics are better than others, and some statistics are of no real value. Just because you can calculate something does not make it useful !

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