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Students at a high school were asked about their favorite outdoor activity. The results are shown in the two-way frequency table below.

\begin{tabular}{|c|c|c|c|c|c|}
\hline & Fishing & Camping & Canoeing & Skiing & Total \\
\hline Boys & 36 & 44 & 13 & 25 & 118 \\
\hline Girls & 34 & 37 & 22 & 20 & 113 \\
\hline Total & 70 & 81 & 35 & 45 & 231 \\
\hline
\end{tabular}

Select all the statements that are true based on the given table.

A. There were more boys surveyed than girls.
B. More boys chose skiing as their favorite outdoor activity than girls.
C. Twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing.
D. More girls chose camping as their favorite outdoor activity than boys.
E. More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.
F. More girls chose canoeing as their favorite outdoor activity than those who chose skiing.



Answer :

GinnyAnswer
Let's analyze each statement one by one based on the given table.

1. There were more boys surveyed than girls.
- Number of boys surveyed: 118
- Number of girls surveyed: 113
- Since 118 > 113, this statement is true.

2. More boys chose skiing as their favorite outdoor activity than girls.
- Boys who chose skiing: 25
- Girls who chose skiing: 20
- Since 25 > 20, this statement is true.

3. Twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing.
- Total students who chose canoeing: 35 (13 boys + 22 girls)
- Total students who chose fishing: 70 (36 boys + 34 girls)
- For this statement to be true, 35 should be twice the number of 70.
- 35 is not equal to 2 * 70 (which is 140), so this statement is false.

4. More girls chose camping as their favorite outdoor activity than boys.
- Girls who chose camping: 37
- Boys who chose camping: 44
- Since 37 < 44, this statement is false.

5. More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.
- Total camping: 81 (44 boys + 37 girls)
- Total canoeing and skiing combined: 35 + 45 = 80
- Since 81 > 80, this statement is true.

6. More girls chose canoeing as their favorite outdoor activity than those who chose skiing.
- Girls who chose canoeing: 22
- Girls who chose skiing: 20
- Since 22 > 20, this statement is true.

Based on the analysis, the correct statements are:
- There were more boys surveyed than girls.
- More boys chose skiing as their favorite outdoor activity than girls.
- More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.
- More girls chose canoeing as their favorite outdoor activity than those who chose skiing.

So the correct answers are:
- There were more boys surveyed than girls.
- More boys chose skiing as their favorite outdoor activity than girls.
- More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.
- More girls chose canoeing as their favorite outdoor activity than those who chose skiing.

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