Researcher made survey on 20 respondents and this is their numbers of responses 
9
11
13
6
6
Calculate their percentage 

To calculate the percentage of each response based on the total number of respondents, we will follow these steps:

1. **Add up the total number of responses.**
2. **Divide each individual response by the total number of respondents.**
3. **Multiply the result by 100 to convert it into a percentage.**

Let's calculate step-by-step:

### Step 1: Total Number of Respondents

Given that the survey was conducted on 20 respondents, this is our total.

### Step 2: Calculate the Percentage for Each Response

- For **9** responses:
  
\[
\frac{9}{20} \times 100 = 45\%
\]

- For **11** responses:
  
\[
\frac{11}{20} \times 100 = 55\%
\]

- For **13** responses:

Since the total respondents are still 20, if we interpret this data directly in percentages based on responses to separate questions or options, the 13 responses indicate that they can sum differently. Let's clarify with given responses as for different items or aspects:

\[
\frac{13}{20} \times 100 = 65\%
\]

However, since two numbers of responses are the same:

- For **6** responses:

\[
\frac{6}{20} \times 100 = 30\%
\]

And again for the second 6 responses, it would also be the same:

\[
\frac{6}{20} \times 100 = 30\%
\]

### Summary of Percentages:

- **9 responses**: **45%**
- **11 responses**: **55%**
- **13 responses**: **65%** (however, this would overlap the number of total respondents)
- **6 responses**: **30%** 
- **6 responses**: **30%**

Would you like more details or have any questions?

### Related Questions to Consider:

1. How do we calculate the percentage if the survey allows multiple responses per respondent?
2. What is the total sum of percentages if we account for each unique option answered by multiple respondents?
3. How can survey results be reported when respondents choose more than one option?
4. How can one visualize different percentages efficiently on a pie chart or bar graph?
5. How do percentages help interpret survey data in terms of understanding trends and preferences?

**Tip:** Always verify the context of survey responses to correctly interpret percentages and avoid confusion between the total respondents and total responses.

Learn how to calculate percentages based on survey responses from 20 respondents. Step-by-step calculation for each response using the percentage formula. Suitable for students in Grades 5-7.

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