question 3 of 10

in a survey, 250 adults and children were asked whether they know how to swim. the survey data are shown in the relative frequency table.

what percentage of the people surveyed cannot swim?

a. 40%
b. 12%
c. 18%
d. 6%

Question

question 3 of 10

in a survey, 250 adults and children were asked whether they know how to swim. the survey data are shown in the relative frequency table.

what percentage of the people surveyed cannot swim?

a. 40%
b. 12%
c. 18%
d. 6%

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 Relative Frequency Tables" ], "new_concepts": [], "current_concepts": [ "Two-Way Relative Frequency Tables", "Relative Frequency" ] } ## Sum the relative frequencies for cannot swim Using the *Two-Way Relative Frequency Tables* knowledge point $$ \begin{aligned} P(\text{Cannot swim}) &= P(\text{Adult} \cap \text{Cannot swim}) + P(\text{Child} \cap \text{Cannot swim}) \ &= 0.06 + 0.12 \ &= 0.18 \end{aligned} $$ ## Convert the relative frequency to a percentage $$ \begin{aligned} \text{Percentage} &= 0.18 \times 100\% \ &= 18\% \end{aligned} $$

A. 40%

B. 12%

C. 18%

D. 6%

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

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Question

Explanation:

Sum the relative frequencies for cannot swim

Convert the relative frequency to a percentage

Answer: