Question
The chart shows 500-meter times for two rowing groups.
Group 1 (Outdoor Rowers) is shown with a histogram.
Group 2 (Indoor Rowers) is shown with a box plot.
Which statement best compares the two groups?
(1 point)
Responses
Group 1 has a smaller range and more consistent rowing times than Group 2.
Group 1 has a smaller range and more consistent rowing times than Group 2.
Group 1 has a higher median time than Group 2.
Group 1 has a higher median time than Group 2.
Group 2 has less variability in rowing times than Group 1.
Group 2 has less variability in rowing times than Group 1.
Group 2's data is more tightly clustered around the mean than Group 1’s data.
Group 1 (Outdoor Rowers) is shown with a histogram.
Group 2 (Indoor Rowers) is shown with a box plot.
Which statement best compares the two groups?
(1 point)
Responses
Group 1 has a smaller range and more consistent rowing times than Group 2.
Group 1 has a smaller range and more consistent rowing times than Group 2.
Group 1 has a higher median time than Group 2.
Group 1 has a higher median time than Group 2.
Group 2 has less variability in rowing times than Group 1.
Group 2 has less variability in rowing times than Group 1.
Group 2's data is more tightly clustered around the mean than Group 1’s data.
Answers
GPT-4o mini
To accurately compare the two groups based on the descriptions provided, let’s analyze each statement:
1. **Group 1 has a smaller range and more consistent rowing times than Group 2.** - We need data on the range and the spread of the times. If Group 2 (Indoor Rowers) has a box plot with a wider interquartile range or a longer range overall, then this statement might not hold true.
2. **Group 1 has a higher median time than Group 2.** - This can be confirmed only if we know the median values from the box plot and the histogram data. Without specific values, we can't say definitively.
3. **Group 2 has less variability in rowing times than Group 1.** - If Group 2’s box plot shows a narrower interquartile range and less spread than Group 1’s histogram, this statement could be correct.
4. **Group 2's data is more tightly clustered around the mean than Group 1’s data.** - This can be assessed through the shape of the box plot relative to the histogram, interpreting the box plot’s whiskers and the presence of outliers.
Without specific data or visual representation of the chart, the safest statement to identify based on common understandings of box plots and histograms is likely:
**Group 2 has less variability in rowing times than Group 1.**
Therefore, if the box plot for Group 2 shows a tighter interquartile range and fewer outliers compared to the spread seen in Group 1's histogram, then this statement would be correct.
To finalize your choice, ensure to confirm that the box plot supports this concept of less variability. If so, select that response; otherwise, check the data to confirm median times and overall ranges for the first two options.
1. **Group 1 has a smaller range and more consistent rowing times than Group 2.** - We need data on the range and the spread of the times. If Group 2 (Indoor Rowers) has a box plot with a wider interquartile range or a longer range overall, then this statement might not hold true.
2. **Group 1 has a higher median time than Group 2.** - This can be confirmed only if we know the median values from the box plot and the histogram data. Without specific values, we can't say definitively.
3. **Group 2 has less variability in rowing times than Group 1.** - If Group 2’s box plot shows a narrower interquartile range and less spread than Group 1’s histogram, this statement could be correct.
4. **Group 2's data is more tightly clustered around the mean than Group 1’s data.** - This can be assessed through the shape of the box plot relative to the histogram, interpreting the box plot’s whiskers and the presence of outliers.
Without specific data or visual representation of the chart, the safest statement to identify based on common understandings of box plots and histograms is likely:
**Group 2 has less variability in rowing times than Group 1.**
Therefore, if the box plot for Group 2 shows a tighter interquartile range and fewer outliers compared to the spread seen in Group 1's histogram, then this statement would be correct.
To finalize your choice, ensure to confirm that the box plot supports this concept of less variability. If so, select that response; otherwise, check the data to confirm median times and overall ranges for the first two options.