which two-way frequency table correctly shows the marginal frequencies?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Marginal Frequency", "Two-Way Frequency Tables" ], "new_concepts": [], "current_concepts": [ "Marginal Frequency", "Two-Way Frequency Tables" ] } ## Check row totals Using the *Two-Way Frequency Tables* knowledge point $$ \begin{aligned} &\text{Row 1 (9th grade): } 2 + 0 = 2\ &\text{Row 2 (10th grade): } 5 + 10 = 15 \end{aligned} $$ ## Check column totals Using the *Marginal Frequency* knowledge point $$ \begin{aligned} &\text{Column 1 (15 years old): } 2 + 5 = 7\ &\text{Column 2 (16 years old): } 0 + 10 = 10 \end{aligned} $$ ## Check grand total Using the *Two-Way Frequency Tables* knowledge point $$ \begin{aligned} &\text{Sum of row totals: } 2 + 15 = 17\ &\text{Sum of column totals: } 7 + 10 = 17 \end{aligned} $$ ## Identify correct table Using the *Two-Way Frequency Tables* and *Marginal Frequency* knowledge points $$ \begin{aligned} &\text{Table A: } 7 + 10 = 17 \text{ (correct row total), but } 2 + 7 = 9 e 9 \text{ (incorrect column sum in table: } 2+7=9\text{, but row 2 is 7 instead of 5)}\ &\text{Table B: } 2+0=2,\ 5+10=15,\ 2+5=7,\ 0+10=10,\ 7+10=17 \text{ (all sums correct)}\ &\text{Table C: } 2+15=17 e 25 \text{ (incorrect row total)}\ &\text{Table D: } 2+5=7 e 10 \text{ (incorrect column total)} \end{aligned} $$

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{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Two-Way Frequency Tables" ] }

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Question

Explanation:

Check row totals

Check column totals

Check grand total

Identify correct table

Answer: