a group of people were asked how many people live in their household. what percent of these people have exactly 2 people in their household?

10%
25%
40%
45%

Question

a group of people were asked how many people live in their household. what percent of these people have exactly 2 people in their household?

10%
25%
40%
45%

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Percentage Calculation" ], "new_concepts": [ "Dot Plot Interpretation" ], "current_concepts": [ "Percentage Calculation", "Dot Plot Interpretation" ] } ## Count the number of data points $$ \begin{aligned} &\text{Household size 1: } 4 \text{ dots}\ &\text{Household size 2: } 5 \text{ dots}\ &\text{Household size 3: } 5 \text{ dots}\ &\text{Household size 4: } 3 \text{ dots}\ &\text{Household size 5: } 2 \text{ dots}\ &\text{Household size 6: } 1 \text{ dot}\ &\text{Total people surveyed } (N) = 4 + 5 + 5 + 3 + 2 + 1 = 20 \end{aligned} $$ ## Calculate the percentage for exactly 2 people $$ \begin{aligned} &\text{Number of households with exactly 2 people } (f) = 5\ &\text{Percentage} = \frac{f}{N} \times 100\% = \frac{5}{20} \times 100\% = 25\% \end{aligned} $$

10%

25%

40%

45%

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Dot Plot Interpretation" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Count the number of data points

Calculate the percentage for exactly 2 people

Answer: