Question

the stem - and - leaf plots compare the ages of 30 actors and actresses at the time they won an award. complete parts a through d below. a. what is the age of the youngest actor to win the award? 31 years old b. what is the age difference between the oldest and the youngest actress to win an award? years

Explanation:

Step1: Identify the youngest and oldest actress ages

In a stem - and - leaf plot, for actresses:
The youngest age (smallest value) is found in the first row of the actresses' leaves. The stem is \(2\) and the leaf is \(1\), so the age is \(21\) years.
The oldest age (largest value) is found in the last row of the actresses' leaves. The stem is \(8\) and the leaf is \(6\), so the age is \(86\) years.

Step2: Calculate the age difference

The formula for the difference \(d\) between two numbers \(a\) (oldest) and \(b\) (youngest) is \(d=a - b\).
Substitute \(a = 86\) and \(b = 21\) into the formula: \(d=86−21\).

$$86−21 = 65$$

Answer:

\(65\)