Question
Tony surveyed all of the 6th grade students at his school and asked about their favorite sport. The percent bar graph shows the results.
Which statements about Tony's data are valid?
(Choose 3)
Responses
Football is the mode favorite sport.
Football is the mode favorite sport.
More than one-half of the students surveyed chose either basketball or baseball as their favorite sport.
More than one-half of the students surveyed chose either basketball or baseball as their favorite sport.
Less than one-fourth of the students surveyed chose soccer as their favorite sport.
Less than one-fourth of the students surveyed chose soccer as their favorite sport.
Fewer than one-fourth of the students surveyed chose basketball as their favorite sport.
Fewer than one-fourth of the students surveyed chose basketball as their favorite sport.
Three-fourths of the students surveyed selected a sport other than football as their favorite sport.
Three-fourths of the students surveyed selected a sport other than football as their favorite sport.
The number of students that like football or basketball best is greater than the number of students that like soccer or baseball best.
Which statements about Tony's data are valid?
(Choose 3)
Responses
Football is the mode favorite sport.
Football is the mode favorite sport.
More than one-half of the students surveyed chose either basketball or baseball as their favorite sport.
More than one-half of the students surveyed chose either basketball or baseball as their favorite sport.
Less than one-fourth of the students surveyed chose soccer as their favorite sport.
Less than one-fourth of the students surveyed chose soccer as their favorite sport.
Fewer than one-fourth of the students surveyed chose basketball as their favorite sport.
Fewer than one-fourth of the students surveyed chose basketball as their favorite sport.
Three-fourths of the students surveyed selected a sport other than football as their favorite sport.
Three-fourths of the students surveyed selected a sport other than football as their favorite sport.
The number of students that like football or basketball best is greater than the number of students that like soccer or baseball best.
Answers
GPT-4o mini
To determine which statements about Tony's data are valid, we need to analyze each statement based on the information given in the percent bar graph. However, since the actual percent values are not provided in your question, we will evaluate the statements based on common interpretations of similar data.
1. **Football is the mode favorite sport.**
- **Valid:** If the percent for football is the highest compared to the other sports, then this statement would be true.
2. **More than one-half of the students surveyed chose either basketball or baseball as their favorite sport.**
- **Not Valid:** If the percentages for basketball and baseball added together do not exceed 50%, then this statement is false.
3. **Less than one-fourth of the students surveyed chose soccer as their favorite sport.**
- **Valid:** This statement is true only if the percentage for soccer is indeed below 25%.
4. **Fewer than one-fourth of the students surveyed chose basketball as their favorite sport.**
- **Not Valid:** If the percentage for basketball is 25% or more, then this statement is false.
5. **Three-fourths of the students surveyed selected a sport other than football as their favorite sport.**
- **Not Valid:** This would only be true if all other sports combined (excluding football) account for 75% or more of the total responses.
6. **The number of students that like football or basketball best is greater than the number of students that like soccer or baseball best.**
- **Valid:** This statement can be true if the combined percentage of football and basketball exceeds that of soccer and baseball.
Based on these evaluations, the valid statements would typically be:
1. Football is the mode favorite sport. (if true based on the graph)
2. Less than one-fourth of the students surveyed chose soccer as their favorite sport. (if true based on the graph)
3. The number of students that like football or basketball best is greater than the number of students that like soccer or baseball best. (if true based on the graph)
Please check the actual percentage values on the bar graph to finalize your answers.
1. **Football is the mode favorite sport.**
- **Valid:** If the percent for football is the highest compared to the other sports, then this statement would be true.
2. **More than one-half of the students surveyed chose either basketball or baseball as their favorite sport.**
- **Not Valid:** If the percentages for basketball and baseball added together do not exceed 50%, then this statement is false.
3. **Less than one-fourth of the students surveyed chose soccer as their favorite sport.**
- **Valid:** This statement is true only if the percentage for soccer is indeed below 25%.
4. **Fewer than one-fourth of the students surveyed chose basketball as their favorite sport.**
- **Not Valid:** If the percentage for basketball is 25% or more, then this statement is false.
5. **Three-fourths of the students surveyed selected a sport other than football as their favorite sport.**
- **Not Valid:** This would only be true if all other sports combined (excluding football) account for 75% or more of the total responses.
6. **The number of students that like football or basketball best is greater than the number of students that like soccer or baseball best.**
- **Valid:** This statement can be true if the combined percentage of football and basketball exceeds that of soccer and baseball.
Based on these evaluations, the valid statements would typically be:
1. Football is the mode favorite sport. (if true based on the graph)
2. Less than one-fourth of the students surveyed chose soccer as their favorite sport. (if true based on the graph)
3. The number of students that like football or basketball best is greater than the number of students that like soccer or baseball best. (if true based on the graph)
Please check the actual percentage values on the bar graph to finalize your answers.