Question

Place the correct percent to complete the sentence.

Elena wants to start a club and has narrowed it down to two clubs: Chess Club or Math Club. She surveyed all the students in her school to determine which club each person would be more likely to join. The results are shown in the two-way frequency table.


Girls

Boys

Total

Chess Club

20

16

36

Math Club

26

24

50

Total

46

40

86

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According to the two-way frequency table, Response area of those surveyed prefer the Chess Club.

Answer 1

To find the percentage of those surveyed who prefer the Chess Club, we need to calculate the percentage of students who indicated they would join the Chess Club out of the total number of students surveyed.

From the table:
- Total number of students who prefer Chess Club = 36
- Total number of students surveyed = 86

Now we can calculate the percentage:

\[
\text{Percentage} = \left(\frac{\text{Number of students preferring Chess Club}}{\text{Total number of students surveyed}}\right) \times 100
\]

Substituting the values:

\[
\text{Percentage} = \left(\frac{36}{86}\right) \times 100 \approx 41.86\%
\]

So, according to the two-way frequency table, approximately **41.86%** of those surveyed prefer the Chess Club.