Computer-Based Numerical & Statistical Techniques

Chapter 7: Statistical Computation

7.1 THE STATISTICAL METHODS

Statistical methods are devices by which complex and numerical data are so systematically treated as to present a comprehensible and intelligible view of them. In other words, the statistical method is a technique used to obtain, analyze and present numerical data.

7.2 LIMITATION OF STATISTICAL METHODS

There are certain limitations to the Statistics and Statistical Methods.

  1. Statistical laws are not exact laws like mathematical or chemical laws. They are derived by taking a majority of cases and are not true for every individual. Thus, the statistical inferences are uncertain.

  2. Statistical technique applies only to data reducible to quantitative forms.

  3. Statistical technique is the same for the social as for physical sciences.

  4. Statistical results might lead to fallacious conclusions if they are quoted short of their context.

7.3 FREQUENCY CHARTS

7.3.1 Variable

A quantity which can vary from one individual to another is called a variable. It is also called a variate. Wages, barometer readings, rainfall records, heights, and weights are the common examples of variables.

Quantities which can take any numerical value within a certain range are called continuous variables. For example, the height of a child at various ages is a continuous variable since, as the child grows from 120 cm to 150 cm, his height assumes all possible values within the limit.

Quantities which are incapable of taking all possible values are called discontinuous or discrete variables. For example, the number of rooms in a...

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