محاضرات في مقياس الإحصاء 1

Abstract

This handbook is devoted to Statistics 1, which serves as a fundamental introduction to descriptive statistics. It aims to provide students with the theoretical and practical foundations required for collecting, organizing, presenting, and analyzing statistical data. The handbook combines theoretical explanations, practical examples, solved exercises, and applications to facilitate the acquisition of essential statistical skills. The first section introduces the general concepts of statistics, including the definition, importance, and applications of statistics. It distinguishes between descriptive and inferential statistics and presents the fundamental concepts of population, statistical unit, statistical variable, and sample. The main stages of statistical research are also discussed, from data collection to data analysis and interpretation. The second section focuses on frequency distributions, which constitute the foundation for organizing and summarizing data. It explains how to construct frequency tables, relative and cumulative frequencies, and how to represent data graphically through histograms, frequency polygons, cumulative curves, bar charts, and pie charts. The handbook then examines measures of central tendency, including the arithmetic mean, median, and mode. These measures are used to identify the central or representative value of a statistical series. Their properties, methods of calculation, and practical applications are thoroughly discussed. Another important section is devoted to measures of dispersion, such as the range, variance, standard deviation, and coefficient of variation. These measures help assess the variability of data and the degree of homogeneity within a dataset. The final section addresses measures of shape, particularly skewness and kurtosis, which are used to describe the form of statistical distributions and evaluate their symmetry and concentration relative to the normal distribution. Through its combination of theoretical foundations, practical examples, and solved exercises, this handbook provides a comprehensive educational resource for mastering descriptive statistics and quantitative data analysis