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
actors
stems
2 3 4 5 6 7 8
0 0 1 1 1 1 2 2 2 2 2 3 3 4 4 4 4 5 5 7 7 8
actresses
stems
1 1 2 2 2 3
0 0 1 1 1 1 3 3 4 4 4 5 5 7 7 8
210
6
551
210
6
551
31 years old
64 years
31 years old
64 years
c. what is the oldest age shared by two actors to win an award?

Explanation:

Step1: Identify the youngest actor's age

From the stem - and - leaf plot for actors, the youngest age is \(37\) years old.

Step2: Identify the oldest actress's age

From the stem - and - leaf plot for actresses, the oldest age is \(80\) years old.

Step3: Calculate the age difference

The age difference \(d\) is calculated by \(d=\text{Oldest age}-\text{Youngest age}\). So \(d = 80 - 37=43\) years.

Step4: Identify the shared ages

Looking at both stem - and - leaf plots, we check for common values. The shared age is \(41\) years old.

Answer:

a. \(37\) years old
b. \(43\) years
c. \(41\) years old