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##### Learning Outcome Statements
 1. The Nature of Statisticsa. distinguish between descriptive statistics and inferential statistics, between a population and a sample, and among the types of measurement scales; b. define a parameter, a sample statistic, and a frequency distribution; 2. Measurement Scalesa. distinguish between descriptive statistics and inferential statistics, between a population and a sample, and among the types of measurement scales; b. define a parameter, a sample statistic, and a frequency distribution; 3. Frequency Distributionsc. calculate and interpret relative frequencies and cumulative relative frequencies, given a frequency distribution; d. describe the properties of a data set presented as a histogram or a frequency polygon; 4. Measures of Center Tendencye. calculate and interpret measures of central tendency, including the population mean, sample mean, arithmetic mean, weighted average or mean, geometric mean, harmonic mean, median, and mode; m. compare the use of arithmetic mean and geometric means when analyzing investment returns. 5. Quartiles, Quintiles, Deciles, and Percentilesf. calculate and interpret quartiles, quintiles, deciles, and percentiles; 6. Measures of Dispersiong. calculate and interpret 1) a range and a mean absolute deviation, and 2) the variance and standard deviation of a population and of a sample; 7. Chebyshev's Inequalityh. calculate and interpret the proportion of observations falling within a specified number of standard deviations of the mean using Chebyshev's inequality; 8. The Sharpe Measure of Risk-Adjusted Performancei. calculate and interpret the coefficient of variation and the Sharpe ratio; 9. Symmetry and Skewness in Return Distributionsj. explain skewness and the meaning of a positively or negatively skewed return distribution; k. describe the relative locations of the mean, median, and mode for a unimodal, nonsymmetrical distribution; l. explain measures of sample skewness and kurtosis; 10. Kurtosis in Return Distributionsj. explain skewness and the meaning of a positively or negatively skewed return distribution; k. describe the relative locations of the mean, median, and mode for a unimodal, nonsymmetrical distribution; l. explain measures of sample skewness and kurtosis;
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