Question

students in 7th and 8th grade were asked the types of movies they prefer. the results of the survey are shown in the two - way table.

	7th	8th	total
action	25%	19%	44%
comedy	14%	16%	30%
total	50%	50%	100%

which statements are correct? check all that apply.

• more 7th graders were surveyed than 8th graders.
• the marginal relative frequency for action movies is 44%.
• the joint relative frequency for 8th graders who like comedy movies is 16%.
• most students prefer drama movies.
• half of the 7th graders prefer action movies.

Explanation:

1. For "More 7th graders were surveyed than 8th graders": The total for 7th is 50% and 8th is 50%, so they are equal. This is incorrect.
2. For "The marginal relative frequency for action movies is 44%": The total for action is 44%, so this is correct.
3. For "The joint relative frequency for 8th graders who like comedy movies is 16%": The table shows 8th and comedy is 16%, so this is correct.
4. For "Most students prefer drama movies": Drama total is 26%, action is 44%, comedy is 30%. Action is highest, so this is incorrect.
5. For "Half of the 7th graders prefer action movies": 7th action is 25%, not 50%, so this is incorrect.

Answer:

The marginal relative frequency for action movies is 44%.
The joint relative frequency for 8th graders who like comedy movies is 16%.