select the correct answer from each drop-down menu.

the line plots show the ages of two language clubs members at a high school.

spanish club
age: 13, 14, 15, 16, 17, 18, 19

french club
age: 13, 14, 15, 16, 17, 18, 19

the mean of the ages of the spanish club members is choose an answer the mean of the ages of the french club members.
the ages of the spanish club members are choose an answer spread out than the ages of the french club members.

Question

select the correct answer from each drop-down menu.

the line plots show the ages of two language clubs members at a high school.

spanish club
age: 13, 14, 15, 16, 17, 18, 19

french club
age: 13, 14, 15, 16, 17, 18, 19

the mean of the ages of the spanish club members is choose an answer the mean of the ages of the french club members.
the ages of the spanish club members are choose an answer spread out than the ages of the french club members.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Mean and Variance", "Data Interpretation" ], "new_concepts": [ "Line Plots", "Measures of Spread" ], "current_concepts": [ "Mean and Variance", "Data Interpretation", "Line Plots", "Measures of Spread" ] } ## Calculate the mean age for Spanish Club $$ \begin{aligned} \text{Data} &= \{13, 14, 15, 15, 15, 16, 16, 17, 18, 18\} \ \text{Sum} &= 13 + 14 + 15 \times 3 + 16 \times 2 + 17 + 18 \times 2 = 157 \ \text{Count} &= 10 \ \text{Mean}_{\text{Spanish}} &= \frac{157}{10} = 15.7 \end{aligned} $$ ## Calculate the mean age for French Club $$ \begin{aligned} \text{Data} &= \{15, 15, 16, 16, 16, 16, 17, 17, 17, 18, 18, 19\} \ \text{Sum} &= 15 \times 2 + 16 \times 4 + 17 \times 3 + 18 \times 2 + 19 = 200 \ \text{Count} &= 12 \ \text{Mean}_{\text{French}} &= \frac{200}{12} \approx 16.67 \end{aligned} $$ ## Compare the means and spreads $$ \begin{aligned} \text{Mean}_{\text{Spanish}} (15.7) &< \text{Mean}_{\text{French}} (16.67) \ \text{Range}_{\text{Spanish}} &= 18 - 13 = 5 \ \text{Range}_{\text{French}} &= 19 - 15 = 4 \ \text{Spread}_{\text{Spanish}} &> \text{Spread}_{\text{French}} \end{aligned} $$ Select the correct answer from each drop-down menu. The line plots show the ages of two language clubs' members at a high school. The mean of the ages of the Spanish Club members is less than the mean of the ages of the French Club members. The ages of the Spanish Club members are more spread out than the ages of the French Club members. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Data Interpretation" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the mean age for Spanish Club

Calculate the mean age for French Club

Compare the means and spreads

Answer: