1. The Nature of Statistics *a. distinguish between descriptive statistics and inferential statistics, between a population and a sample, and among the types of measurement scales;*
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b. define a parameter, a sample statistic, and a frequency distribution;*
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2. Measurement Scales *a. distinguish between descriptive statistics and inferential statistics, between a population and a sample, and among the types of measurement scales;*
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b. define a parameter, a sample statistic, and a frequency distribution;*
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3. Frequency Distributions *c. calculate and interpret relative frequencies and cumulative relative frequencies, given a frequency distribution;*
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d. describe the properties of a data set presented as a histogram or a frequency polygon;*
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4. Measures of Center Tendency *e. 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;*
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m. compare the use of arithmetic mean and geometric means when analyzing investment returns.*
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5. Quartiles, Quintiles, Deciles, and Percentiles *f. calculate and interpret quartiles, quintiles, deciles, and percentiles;*
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6. Measures of Dispersion *g. 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;*
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7. Chebyshev's Inequality *h. calculate and interpret the proportion of observations falling within a specified number of standard deviations of the mean using Chebyshev's inequality;*
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8. The Sharpe Measure of Risk-Adjusted Performance *i. calculate and interpret the coefficient of variation and the Sharpe ratio;*
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9. Symmetry and Skewness in Return Distributions *j. explain skewness and the meaning of a positively or negatively skewed return distribution;*
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k. describe the relative locations of the mean, median, and mode for a unimodal, nonsymmetrical distribution;*
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l. explain measures of sample skewness and kurtosis;*
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10. Kurtosis in Return Distributions *j. explain skewness and the meaning of a positively or negatively skewed return distribution;*
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k. describe the relative locations of the mean, median, and mode for a unimodal, nonsymmetrical distribution;*
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l. explain measures of sample skewness and kurtosis;*
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