This 55-page "handbooklet" is intended for anyone at any level who wishes to have more intuitive explanations of the concepts of standard deviation and variance, as well as a better understanding of their formulas and associated concepts. (Total of 66 pages.)
Part 1 explains the concepts of standard deviation and variance as measures of variation.
Section I.1: Introduction and the Mean
Section I.2: Standard Deviation of a Population Characteristic
Section I.3: Standard Deviation of a Sample Characteristic
Section I.4: Variance
Part 2 explains some additional statistical concepts specifically associated with standard deviation and variance, such as degrees of freedom.
Section II.1: Unbiased and Biased Estimate
Section II.2: Degrees of Freedom
Section II.3: Distribution of Measurement Values
Section II.4: Point Estimate, Confidence Interval Estimate, and Standard Error of an Estimate
Section II.5: Independent Variable and Dependent Variable
Part 3 provides a practical exercise to demonstrate the concepts of standard deviation and variance, as well as simple statistical tests, such as the t-test and F-test, to compare the characteristics between two groups. Strength of Association Measures are also examined.
Section III.1: Introduction to the Exercise and Calculations to Obtain the Standard Deviation and Variance
Section III.2: Comparing Two Groups
Section III.3: Strength of Association Measure
Part 4 provides information about Research Procedure.
Section IV.1: Outline of Research Procedure
Section IV.2: Null Hypothesis and "p value"
In addition to the explanations of standard deviation, variance, and some other concepts directly associated with these measures of variation, additional statistical concepts are mentioned to lead and encourage the reader to further explore the details of those useful statistical tools that are beyond the scope of this little "handbooklet."