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?
65 years
c. what is the oldest age shared by two actors to win an award?
□ years old

Explanation:

Step1: Analyze the stem - and - leaf plot for actors

In a stem - and - leaf plot, the stem represents the tens digit and the leaf represents the units digit. For actors, we look for the repeated values (to find the age shared by two actors) among the higher ages.
The ages of actors are:
For stem \(2\): \(21,22,23,25,27,28,29\)
For stem \(3\): \(31,32,33,35,37,38,39\)
For stem \(4\): \(40,40,41,42,43,43,44,45,46,47,47,48,48\)
For stem \(5\): \(51,55,58\)
For stem \(6\): \(60,61,62\)
For stem \(7\): \(78\)

Step2: Identify the repeated age among higher values

We check the frequencies of each age. The age \(43\) (stem \(4\), leaf \(3\)) appears twice among the relatively higher ages.

Answer:

\(43\)