6. The 50 students in Mr. Smith's third-grade class were asked to pick one color as their favorite. The results from the survey are shown in the preceding pie chart. Which THREE of the following questions can be answered from the information shown in the chart?
Answer: A
Which color is preferred the most?
The information shown in the pie chart allows us to determine which color is preferred the most based on the size of each segment representing the students' favorite colors.
A) Which color is preferred the most?
This option is correct because the pie chart visually represents the preferences of the students, enabling us to easily identify the color with the largest segment, indicating the most preferred color.
B) How many students preferred red?
This option is incorrect as the pie chart does not provide specific numerical data for the number of students who preferred red. It may show the proportion, but not the exact count, making it impossible to answer this question directly.
C) What sampling method was used to collect the data?
This option is incorrect because the pie chart does not provide any information regarding the sampling method. The chart only displays the results of the survey without details on how the data was collected.
D) What percent of the students chose purple as their favorite color?
This option is incorrect because while the pie chart displays proportions, it does not provide exact percentages for each color. Therefore, the exact percentage of students who chose purple cannot be determined from the chart.
E) How many more students chose green than chose blue?
This option is incorrect since the pie chart does not provide specific numbers for the students who chose green and blue. Without numerical data, we cannot calculate the difference in the number of students who preferred these colors.
Conclusion
The correct answer, which identifies the most preferred color, is definitively supported by the visual data in the pie chart. All other options fail to provide answerable questions based on the information given, either lacking specific numerical data or not addressing the survey results directly. Thus, only the first option aligns with the chart's content.