Question

For Chapter 2 through Chapter 14, the Cumulative Review Exercises include topics from preceding chapters. For this chapter, we present a few calculator warm-up exercises, with expressions similar to those found throughout this book. Use your calculator to find the indicated values.

Tallest Person Robert Wadlow (1918–1940) is the tallest known person to have lived. The expression below converts his height of 272 cm to a standardized score. Find this value and round the result to two decimal places. Such standardized scores are considered to be significantly high if they are greater than 2 or 3. Is the result significantly high?

\(\frac{{272 - 176}}{6}\)

Short answer

The standardized score of Robert Wadlow’s height, given as 272 cm, is equal to 16.00.

The value is significantly high as it is much greater than 2 and 3.

Step-by-step solution

Given information

The height of the tallest person, Robert Wadlow, is equal to 272 cm.

The standardized score of his height is given by \(\frac{{272 - 176}}{6}\).

Determining the standardized score

Here, the value of his height is given to be272 cm.

The standardized score is calculated from the given expression \(\frac{{272 - 176}}{6}\)as shown below:

\(\begin{array}{c}\frac{{272 - 176}}{6} = \frac{{96}}{6}\\ = 16\end{array}\)

Thus, the standardized score is 16.00.

Checking for significance

Since the standardized score is above the given threshold value (2 or 3), it can be concluded that the standardized score of Robert Wadlow’s height is significantly high.