Question
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys.
Choose all that are correct.
Responses
A The mean for the boys is greater than the mean for the girls.The mean for the boys is greater than the mean for the girls.
B The number of boys that watch television is greater than the number of girls that watch television.The number of boys that watch television is greater than the number of girls that watch television.
C When estimated to the nearest whole number, the interquartile ranges for the girls and boys are equal.When estimated to the nearest whole number, the interquartile ranges for the girls and boys are equal.
D The median hours watching television for the boys is greater than the median for the girls.The median hours watching television for the boys is greater than the median for the girls.
E The range of hours watching television for the girls is less than the range for the boys.
Choose all that are correct.
Responses
A The mean for the boys is greater than the mean for the girls.The mean for the boys is greater than the mean for the girls.
B The number of boys that watch television is greater than the number of girls that watch television.The number of boys that watch television is greater than the number of girls that watch television.
C When estimated to the nearest whole number, the interquartile ranges for the girls and boys are equal.When estimated to the nearest whole number, the interquartile ranges for the girls and boys are equal.
D The median hours watching television for the boys is greater than the median for the girls.The median hours watching television for the boys is greater than the median for the girls.
E The range of hours watching television for the girls is less than the range for the boys.
Answers
GPT-4o mini
To determine which statements are correct, we would typically need to analyze the specific graphs that summarize the television viewing data for 12-17 year-old girls and boys. However, since the graphs are not provided in this context, I can guide you on how to evaluate each statement if you had access to the data:
A. **The mean for the boys is greater than the mean for the girls.**
- You would check the average (mean) values on the graphs for both groups. If the boys have a higher mean, this statement is true.
B. **The number of boys that watch television is greater than the number of girls that watch television.**
- You would need to consider the total number of viewers represented in the graphs. If there are more boys indicated watching television than girls, this statement is true.
C. **When estimated to the nearest whole number, the interquartile ranges for the girls and boys are equal.**
- You would look at the interquartile ranges (IQR) shown on the graphs. If the IQRs are statistically the same, rounded to the nearest whole number, then this statement is true.
D. **The median hours watching television for the boys is greater than the median for the girls.**
- Check the median value presented on the graphs for each group. If the boys have a higher median, this statement is true.
E. **The range of hours watching television for the girls is less than the range for the boys.**
- You would need to compare the calculated ranges (difference between maximum and minimum values) for both groups. If the girls’ range is indeed smaller than the boys’, this statement is true.
Without the actual data, it's impossible to definitively state which options are correct. You would need to perform these evaluations based on the visual data provided in the graphs.
A. **The mean for the boys is greater than the mean for the girls.**
- You would check the average (mean) values on the graphs for both groups. If the boys have a higher mean, this statement is true.
B. **The number of boys that watch television is greater than the number of girls that watch television.**
- You would need to consider the total number of viewers represented in the graphs. If there are more boys indicated watching television than girls, this statement is true.
C. **When estimated to the nearest whole number, the interquartile ranges for the girls and boys are equal.**
- You would look at the interquartile ranges (IQR) shown on the graphs. If the IQRs are statistically the same, rounded to the nearest whole number, then this statement is true.
D. **The median hours watching television for the boys is greater than the median for the girls.**
- Check the median value presented on the graphs for each group. If the boys have a higher median, this statement is true.
E. **The range of hours watching television for the girls is less than the range for the boys.**
- You would need to compare the calculated ranges (difference between maximum and minimum values) for both groups. If the girls’ range is indeed smaller than the boys’, this statement is true.
Without the actual data, it's impossible to definitively state which options are correct. You would need to perform these evaluations based on the visual data provided in the graphs.