Answer
Options B and C are great examples of conditional relative frequency.
Step-by-step explanation
To select the statements that are correct and could be examples of conditional relative frequency, we need to check each of the statements, one at a time.
Option A
Out of all the respondents, 2% of them were males in the chess club.
Total number of respondents = 100
Number of males in the chess club = 2
Percentage of respondents that are male and in the chess club = (2/100) = 2%
Hence, this statement is correct, but, it doesn't express a subgroup as a percentage of another subgroup. So, it's not a perfect example of conditional relative frequency.
Option B
Out of the male respondents, 50% played intramural basketball.
Number of male respondents = 40
Number of males in the intramural basketball = 20
Percentage of male respondents that played intramural basketball = (20/40) = 50%
This statement too is true and it expresses a subgroup as a percentage of another subgroup. So, it's a perfect example of conditional relative frequency.
Option C
Out of the female respondents, 16.7% were in the chess club.
Number of female respondents = 60
Number of females in the chess club = 10
Percentage = (10/60) = 16.7%
This statement too is true and it expresses a subgroup as a percentage of another subgroup. So, it's a perfect example of conditional relative frequency.
Option D
Out of all the respondents, 30% did not participate in afterschool clubs.
Total number of correspondents = 100
Number of people that did not participate in any afterschool clubs = 30
Percentage = (30/100) = 30%
This statement is correct, but, it doesn't express a subgroup as a percentage of another subgroup. So, it's not a perfect example of conditional relative frequency.