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| | Title | Key Topics Covered | | :--- | :--- | :--- | | 1 | Collection of Data: Classification and Tabulation | Data & Statistics, Variables, Distributions, and Numerical Descriptive Statistics | | 2 | Charts and Diagrams | Visual representation of statistical data using graphs, charts, and diagrams | | 3 | Useful Mathematical Devices | Foundational mathematical tools needed for statistical calculation | | 4 | Frequency Distribution | Organizing raw data into frequency tables | | 5 | Measures of Central Tendency | Mean, median, mode, and other averages | | 6 | Measures of Dispersion | Range, variance, standard deviation, and spread of data | | 7 | Moments, Skewness and Kurtosis | Higher-order statistical measures describing the shape of a distribution | | 8 | Curve Fitting and Method of Least Squares | Finding the best-fit line or curve for a given set of data points | | 9 | Correlation and Regression | Analyzing relationships between variables | | 10 | Interpolation | Estimating unknown values that fall between known data points | | 11 | Theory of Probability | Fundamental rules of probability, random variables, and distributions | | 12 | Theoretical Distributions: Binomial, Poisson, Normal | In-depth study of the most important probability distributions | | 13 | Sampling Theory | Concepts of populations, samples, and sampling distributions | | 14 | Estimation and Test of Significance | Hypothesis testing, confidence intervals, and practical significance | | 15 | Analysis of Variance | ANOVA for comparing means of two or more groups | | 16 | Time Series | Analyzing data collected over time to identify trends and patterns | | 17 | Index Numbers | Measuring changes in price, quantity, or value over time | | 18 | Vital Statistics | Statistical methods related to demography and public health data | | 19 | Statistical Quality Control | Using statistical methods to monitor and maintain the quality of processes |
: Sampling theory, estimation, hypothesis formulation, and testing significance.