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. 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 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. b. 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. c. 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.

Explanation:

• Analyze the stem - and - leaf plot:
• For the "Actors" plot, count the number of leaves in the "4" (forties) and "5" (fifties) stems.
• For the "Actresses" plot, count the number of leaves in the "4" (forties) and "5" (fifties) stems.
• For the "Actors" plot, count the number of leaves in the "2" (twenties) and "3" (thirties) stems.
• For the "Actresses" plot, count the number of leaves in the "2" (twenties) and "3" (thirties) stems.
• Notice that there are more leaves (higher frequency) for actors in the "4" and "5" stems (forties and fifties) compared to actresses.
• Notice that there are fewer leaves (lower frequency) for actors in the "2" and "3" stems (twenties and thirties) compared to actresses.
• Relate to the explanation:
• Since there are more actors in older age groups (forties and fifties) when winning an award, it can be explained by actors being older when they win an award.

Answer:

B. 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.