Respuesta :
Answer
Options B and C are great examples of conditional relative frequency.
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.
