tailieunhanh - Lecture Business statistics in practice (7/e): Chapter 3 - Bowerman, O'Connell, Murphree
Chapter 3 - Descriptive statistics: Numerical methods. After mastering the material in this chapter, you will be able to: Compute and interpret the mean, median, and mode; compute and interpret the range, variance, and standard deviation; use the Empirical Rule and Chebyshev's Theorem to describe variation;. | Chapter 3 Descriptive Statistics: Numerical Methods Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Descriptive Statistics Describing Central Tendency Measures of Variation Percentiles, Quartiles and Box-and-Whiskers Displays Covariance, Correlation, and the Least Square Line (Optional) Weighted Means and Grouped Data (Optional) The Geometric Mean (Optional) 3- Describing Central Tendency In addition to describing the shape of a distribution, want to describe the data set’s central tendency A measure of central tendency represents the center or middle of the data Population mean (μ) is average of the population measurements Population parameter: a number calculated from all the population measurements that describes some aspect of the population Sample statistic: a number calculated using the sample measurements that describes some aspect of the sample LO3-1: Compute and interpret the mean, median, and | Chapter 3 Descriptive Statistics: Numerical Methods Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Descriptive Statistics Describing Central Tendency Measures of Variation Percentiles, Quartiles and Box-and-Whiskers Displays Covariance, Correlation, and the Least Square Line (Optional) Weighted Means and Grouped Data (Optional) The Geometric Mean (Optional) 3- Describing Central Tendency In addition to describing the shape of a distribution, want to describe the data set’s central tendency A measure of central tendency represents the center or middle of the data Population mean (μ) is average of the population measurements Population parameter: a number calculated from all the population measurements that describes some aspect of the population Sample statistic: a number calculated using the sample measurements that describes some aspect of the sample LO3-1: Compute and interpret the mean, median, and mode. 3- Measures of Central Tendency Mean, The average or expected value Median, Md The value of the middle point of the ordered measurements Mode, Mo The most frequent value LO3-1 3- Measures of Variation Knowing the measures of central tendency is not enough Both of the distributions below have identical measures of central tendency LO3-2: Compute and interpret the range, variance, and standard deviation. Figure 3- Measures of Variation Range Largest minus the smallest measurement Variance The average of the squared deviations of all the population measurements from the population mean Standard The square root of the population Deviation variance LO3-2 3- The Empirical Rule for Normal Populations If a population has mean µ and standard deviation σ and is described by a normal curve, then of the population measurements lie within one standard deviation of the mean: [µ-σ, µ+σ] lie within two standard deviations of the mean: .
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