Chapter 5, Problem 5.1Q

Interpretation Introduction

Interpretation:

The given statement related to $\overline{x}$ should be determined.

Concept Introduction:

Abbreviation is defined as the term replacing the whole word and phrase by a single word or phrase.

Answer to Problem 5.1Q

The abbreviation of $\overline{x}$ is defined as Mean.

Explanation of Solution

Given information:

The abbreviation for $\overline{x}$ is defined as_______.

The term is $\overline{x}$ used in statistics for calculation of the overall amount with respect to the specified quantities. Mean is defined as the ratio of the sum of total components with respect to the number of components. The formula for mean is given by,

  $\text{Mean}=\frac{\text{Sum}\text{of}\text{all}\text{components}}{\text{Number}\text{of}\text{components}}$

In mathematical terms the above equation is defined as,

  $\overline{x}=\frac{{\displaystyle \sum _{i=1}^n\left(x_i+x_2\mathrm{..............}{x}_n\right)}}{n}$

Thus, the abbreviation of $\overline{x}$ is defined as Mean and it is pronounced as x-bar.

Conclusion

The abbreviation of $\overline{x}$ is defined as Mean.