Answer :
To determine which statement is true based on the provided data of Miss Rose's ballet classes, let's analyze each option:
1. Statement A: [tex]$15 \%$[/tex] of her students are boys.
- The relative frequency table shows that 0.4 (or 40%) of the students are boys.
- Thus, this statement is false.
2. Statement B: [tex]$10 \%$[/tex] of her students are in the beginner class.
- The relative frequency table indicates that 0.25 (or 25%) of the students are in the beginner class.
- Therefore, this statement is false.
3. Statement C: [tex]$60 \%$[/tex] of her students are girls.
- According to the table, 0.6 (or 60%) of the students are girls.
- This confirms that the statement is true.
4. Statement D: [tex]$35 \%$[/tex] of her students are in the intermediate class.
- The table tells us that 0.55 (or 55%) of the students are in the intermediate class.
- Hence, this statement is false.
Based on our analysis:
- Statement A is false because 40% (not 15%) of the students are boys.
- Statement B is false because 25% (not 10%) of the students are in the beginner class.
- Statement C is true because 60% of the students are girls.
- Statement D is false because 55% (not 35%) of the students are in the intermediate class.
Therefore, the correct statement is:
C. [tex]$60 \%$[/tex] of her students are girls.
1. Statement A: [tex]$15 \%$[/tex] of her students are boys.
- The relative frequency table shows that 0.4 (or 40%) of the students are boys.
- Thus, this statement is false.
2. Statement B: [tex]$10 \%$[/tex] of her students are in the beginner class.
- The relative frequency table indicates that 0.25 (or 25%) of the students are in the beginner class.
- Therefore, this statement is false.
3. Statement C: [tex]$60 \%$[/tex] of her students are girls.
- According to the table, 0.6 (or 60%) of the students are girls.
- This confirms that the statement is true.
4. Statement D: [tex]$35 \%$[/tex] of her students are in the intermediate class.
- The table tells us that 0.55 (or 55%) of the students are in the intermediate class.
- Hence, this statement is false.
Based on our analysis:
- Statement A is false because 40% (not 15%) of the students are boys.
- Statement B is false because 25% (not 10%) of the students are in the beginner class.
- Statement C is true because 60% of the students are girls.
- Statement D is false because 55% (not 35%) of the students are in the intermediate class.
Therefore, the correct statement is:
C. [tex]$60 \%$[/tex] of her students are girls.