Question
Scatter Plots & Data Analysis Online Practice Complete this assessment to review what you've learned. It will not count toward your grade. 11 of 2211 of 22 Items Question Use the image to answer the question. Which conclusion can you draw about the data set represented by the boxplot? (1 point) Responses A quarter of the values in the data set are between 38 and 53 passengers. A quarter of the values in the data set are between 38 and 53 passengers. The most frequently occurring number of passengers in the data set is 47. The most frequently occurring number of passengers in the data set is 47. Half of the number of passengers in the data set is greater than 50. Half of the number of passengers in the data set is greater than 50. There were never fewer than 24 passengers recorded in the data set.
Answers
GPT-4o mini
To analyze the boxplot data set and determine the correct conclusion, let’s break down the responses based on general knowledge about boxplots:
1. **A quarter of the values in the data set are between 38 and 53 passengers.** - This statement is likely true as boxplots indicate that the lower quartile (Q1) and upper quartile (Q3) represent the range in which the middle 50% of the data lies.
2. **The most frequently occurring number of passengers in the data set is 47.** - Boxplots do not provide information about the mode (most frequently occurring value), so this conclusion cannot be drawn from a boxplot.
3. **Half of the number of passengers in the data set is greater than 50.** - This statement corresponds to the median, which is represented by the line in the boxplot. If the median is above 50, then half the values are indeed greater; however, without seeing the actual boxplot values, we can’t confirm this.
4. **There were never fewer than 24 passengers recorded in the data set.** - Boxplots show the minimum value, which could be at or above 24. Still, without seeing the boxplot itself, we cannot definitively say this is true.
Given this analysis, the most definitive conclusion based on the boxplot would be: **"A quarter of the values in the data set are between 38 and 53 passengers."**
1. **A quarter of the values in the data set are between 38 and 53 passengers.** - This statement is likely true as boxplots indicate that the lower quartile (Q1) and upper quartile (Q3) represent the range in which the middle 50% of the data lies.
2. **The most frequently occurring number of passengers in the data set is 47.** - Boxplots do not provide information about the mode (most frequently occurring value), so this conclusion cannot be drawn from a boxplot.
3. **Half of the number of passengers in the data set is greater than 50.** - This statement corresponds to the median, which is represented by the line in the boxplot. If the median is above 50, then half the values are indeed greater; however, without seeing the actual boxplot values, we can’t confirm this.
4. **There were never fewer than 24 passengers recorded in the data set.** - Boxplots show the minimum value, which could be at or above 24. Still, without seeing the boxplot itself, we cannot definitively say this is true.
Given this analysis, the most definitive conclusion based on the boxplot would be: **"A quarter of the values in the data set are between 38 and 53 passengers."**