question 7 (multiple choice worth 10 points)
(02.01h mc)

crumbs cookies was interested in seeing if there was an association between cookie flavor and whether or not there was frosting. given are the results of the last weeks orders.

| | frosting | no frosting | total |
| :--- | :--- | :--- | :--- |
| sugar cookie | 50 | | |
| red velvet | | 66 | 136 |
| chocolate chip | | 58 | |
| total | 220 | | 400 |

which category has the greatest joint frequency?

- chocolate chip cookies with frosting
- sugar cookies with no frosting
- chocolate chip cookies
- cookies with frosting

Question

question 7 (multiple choice worth 10 points)
(02.01h mc)

crumbs cookies was interested in seeing if there was an association between cookie flavor and whether or not there was frosting. given are the results of the last weeks orders.

| | frosting | no frosting | total |
| :--- | :--- | :--- | :--- |
| sugar cookie | 50 | | |
| red velvet | | 66 | 136 |
| chocolate chip | | 58 | |
| total | 220 | | 400 |

which category has the greatest joint frequency?

- chocolate chip cookies with frosting
- sugar cookies with no frosting
- chocolate chip cookies
- cookies with frosting

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Two-Way Frequency Tables" ], "new_concepts": [], "current_concepts": [ "Two-Way Frequency Tables", "Categorical Data" ] } ## Complete the two-way frequency table $$ \begin{aligned} &\text{Total No Frosting} = 400 - 220 = 180\ &\text{Red Velvet with Frosting} = 136 - 66 = 70\ &\text{Sugar Cookie with No Frosting} = 180 - 66 - 58 = 56\ &\text{Sugar Cookie Total} = 50 + 56 = 106\ &\text{Chocolate Chip with Frosting} = 220 - 50 - 70 = 100\ &\text{Chocolate Chip Total} = 100 + 58 = 158 \end{aligned} $$ ## Identify the joint frequencies $$ \begin{aligned} &\text{Sugar Cookie with Frosting} = 50\ &\text{Sugar Cookie with No Frosting} = 56\ &\text{Red Velvet with Frosting} = 70\ &\text{Red Velvet with No Frosting} = 66\ &\text{Chocolate Chip with Frosting} = 100\ &\text{Chocolate Chip with No Frosting} = 58 \end{aligned} $$ ## Determine the greatest joint frequency $$ \begin{aligned} &\max(50, 56, 70, 66, 100, 58) = 100\ &\text{Greatest joint frequency category: Chocolate chip cookies with frosting} \end{aligned} $$

(A) Chocolate chip cookies with frosting

(B) Sugar cookies with no frosting

(C) Chocolate cookies

(D) Cookies with frosting

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

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QUESTION IMAGE

Question

Explanation:

Complete the two-way frequency table

Identify the joint frequencies

Determine the greatest joint frequency

Answer: