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

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?
58 years old
d. what differences do you observe between the two stem - and - leaf plots? what explanations can you offer for these differences?
a. there is a higher frequency of actors in their forties and fifties than actresses and a lower frequency of actors in their twenties and thirties than actresses, this could be explained by actors being older when they win an award
b. there is a higher frequency of actors in their sixties and seventies than actresses; this could be explained by actors being older when they win an award
c. there is a lower frequency of actors in their forties and fifties than actresses and a higher frequency of actors in their twenties and thirties than actresses; this could be explained by actors being younger when they win an award

Explanation:

• Analyze each option:
• Option A: Looking at the stem - and - leaf plot, for actors, there are more data points (higher frequency) in the 40s (stem = 4) and 50s (stem = 5) compared to actresses. And there are fewer data points (lower frequency) for actors in the 20s (stem = 2) and 30s (stem = 3) compared to actresses. This could be because, in general, actors might be older when they win the award.
• Option B: In the stem - and - leaf plot, actresses have data in the 60s (stem = 6) and 70s (stem = 7) (e.g., 60, 61, 75), while actors have only one value in the 60s (62) and none in the 70s. So, the frequency of actors in 60s and 70s is lower than that of actresses.
• Option C: The frequency of actors in 40s and 50s is higher than that of actresses, and the frequency of actors in 20s and 30s is lower than that of actresses.

Answer:

A. There is a higher frequency of actors in their forties and fifties than actresses and a lower frequency of actors in their twenties and thirties than actresses, this could be explained by actors being older when they win an award.