Chapter 1.3, Problem 3.4CYU

To determine

To interpret: The meaning of standard deviation in context.

Explanation of Solution

Given:

The heights of the players are 67,72,76,76, and 84.

Formula used:

The formula to compute the standard deviation is:

  $\begin{array}{l}s=\sqrt{\frac{{\displaystyle \sum {\left(x-\overline{x}\right)}^2}}{n-1}}\\ Where\\ \overline{x}=\frac{{\displaystyle \sum x}}{n}\end{array}$

Calculation:

The standard deviation using Ti-83 calculator is computed as:

  

Thus, the standard deviation is 6.245.

Interpretation:

The standard deviation shows the difference between the height of the starters and the average height of the players is approximately 6.245.