Statistics in Singular Sense

Statistics, in its singular sense, refers to the field of statistical science as well as the principles and methods used in analyzing and interpreting data. It encompasses the collection, organization, analysis, interpretation, and presentation of numerical data. The correct answer to the given question is option 'C', which states that statistics in its singular sense means both statistical science and statistical law.

Statistical Science

Statistical science is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of statistical techniques and methods to draw meaningful inferences from data. Statistical science is a comprehensive field that encompasses various subfields such as probability theory, hypothesis testing, regression analysis, and sampling theory. It provides the necessary tools and techniques to make informed decisions based on data analysis.

Statistical Law

Statistical law refers to the principles and rules that govern the analysis and interpretation of data. It includes fundamental concepts such as the law of large numbers, central limit theorem, and statistical distributions. These laws provide a theoretical foundation for statistical methods and help in understanding the behavior of data. Statistical laws are derived from mathematical and probabilistic principles and guide the application of statistical techniques in practice.

Combination of Statistical Science and Statistical Law

The combination of statistical science and statistical law forms the core of the discipline of statistics. Statistical science provides the theoretical framework and mathematical tools required to analyze data, while statistical laws establish the rules and principles based on which data analysis is conducted. Together, they enable statisticians to make accurate inferences, draw conclusions, and communicate findings effectively.

In conclusion, statistics in its singular sense encompasses both statistical science and statistical law. It involves the application of mathematical and probabilistic principles to analyze and interpret data. The field of statistics plays a crucial role in various disciplines, allowing researchers, businesses, and policymakers to make informed decisions based on data-driven insights.