information about a shipment of mirrors to a local store is shown.

of all of the medium mirrors that were shipped, how many of them were broken?

68
78
164
208

Question

information about a shipment of mirrors to a local store is shown.

of all of the medium mirrors that were shipped, how many of them were broken?

68
78
164
208

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": [ "Two-Way Frequency Tables" ], "new_concepts": [], "current_concepts": [ "Two-Way Frequency Tables" ] } ## Identify the given values in the table Using the *Two-Way Frequency Tables* knowledge point $$ \begin{array}{r|c|c|c} \text{Size} & \text{Broken} & \text{Not Broken} & \text{Total} \ \hline \text{Small} & 4 & B_{\text{small}} & 102 \ \text{Medium} & A_{\text{medium}} & 96 & T_{\text{medium}} \ \text{Large} & 6 & B_{\text{large}} & 214 \ \hline \text{Total} & A_{\text{total}} & 402 & 480 \end{array} $$ ## Calculate the total number of broken mirrors Using the *Two-Way Frequency Tables* knowledge point $$ A_{\text{total}} = 480 - 402 = 78 $$ ## Calculate the number of broken medium mirrors Using the *Two-Way Frequency Tables* knowledge point $$ \begin{aligned} A_{\text{medium}} &= A_{\text{total}} - A_{\text{small}} - A_{\text{large}} \ A_{\text{medium}} &= 78 - 4 - 6 = 68 \end{aligned} $$

(A) 68

(B) 78

(C) 164

(D) 208

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

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QUESTION IMAGE

Question

Explanation:

Identify the given values in the table

Calculate the total number of broken mirrors

Calculate the number of broken medium mirrors

Answer: