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 below.

| | Can Swim | Cannot Swim | Total |
|--------------|----------|-------------|-------|
| Adults | 0.34 | 0.06 | |
| Children | 0.48 | 0.12 | |
| Total | | | |

What percentage of the people surveyed cannot swim?

A. 12%
B. 40%
C. 18%
D. 6%



Answer :

To determine the percentage of the people surveyed who cannot swim, we need to follow a structured approach, focusing on the given relative frequencies:

1. Identify the given relative frequencies:
- For adults who cannot swim: 0.06
- For children who cannot swim: 0.12

2. Calculate the total relative frequency of people who cannot swim:
- Sum the relative frequencies of adults and children who cannot swim:
[tex]\[ \text{Total relative frequency} = 0.06 + 0.12 = 0.18 \][/tex]

3. Convert the total relative frequency to a percentage:
- We know that:
[tex]\[ \text{Percentage} = \text{Relative frequency} \times 100 \][/tex]
- Substitute the total relative frequency:
[tex]\[ 0.18 \times 100 = 18.0 \][/tex]

4. Identify the correct answer:
- The calculated percentage of people who cannot swim is 18%.

Thus, the percentage of people surveyed who cannot swim is:
[tex]\[ \boxed{18\%} \][/tex]
This matches option C.