A teacher is creating a statistics activity for a fifth-grade class. The students will gather data by recording how each student answers the same question. Which of the following questions is appropriate for the activity?

Rationale

What is your favorite color?

This question is appropriate for a statistics activity because it allows for a variety of subjective responses that can be easily categorized and analyzed. Students can record and compare their classmates' favorite colors, facilitating discussions about data collection and representation.

A (What is your teacher's name?) YOUR ANSWER

This question is not suitable as it elicits a unique answer that is specific to each individual. Since most students will likely have the same teacher, the data collected would provide little variety or statistical significance, making it less useful for analysis.

B (What is your favorite color?) CORRECT

This choice is correct as it invites diverse responses from each student, resulting in a rich dataset for analysis. Students can share a wide range of colors, allowing for categorization into groups, such as red, blue, green, etc., and facilitating discussions about frequency and proportions in data.

C (What is today's date?) YOUR ANSWER

This question yields a uniform answer for all students on any given day, providing no variability in responses. Since every student will write the same date, it does not foster meaningful data collection or analysis within the context of the activity.

D (What grade are you in?) YOUR ANSWER

While this question could provide some variation, it typically results in a limited range of responses, particularly if all students are in the same grade. As a result, the data collected would lack depth and fail to illustrate the principles of diverse data representation effectively.

Conclusion

An effective statistics activity requires questions that generate varied responses for meaningful data analysis. "What is your favorite color?" stands out as the only option that fosters a range of answers, enabling students to engage in collecting, categorizing, and analyzing data. The other choices either yield uniform or overly limited responses, making them unsuitable for the intended educational purpose.

A teacher is creating a statistics activity for a fifth-grade class. The students will gather data by recording how each student answers the same question. Which of the following questions is appropriate for the activity?

What is your favorite color?

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