Chapter 5, Problem 5.11Q

Interpretation Introduction

Interpretation:

Whether pooling is appropriate or not is to be determined, if the number is less than the larger deviation when the smaller standard deviation is doubled.

Concept Introduction:

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,

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

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