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Let's solve this step by step using the data provided. The problem asks to analyze responses to a survey where 40 adults were asked about their views on building casinos, with the following codes:

- **G**: Good
- **B**: Bad
- **I**: Indifferent
- **No Answer**: Blank or no entry

### Steps to Solve:

1. **Prepare a frequency distribution table** (part a).
2. **Calculate the relative frequencies and percentages for all categories** (part b).
3. **Draw a bar graph for the frequency distribution** (part c).
4. **Make a Pareto chart for the percentage distribution** (part d).
5. **Draw a pie chart for the percentage distribution** (part e).

#### Step 1: Count the frequencies of responses (G, B, I)
Let me first calculate the frequency distribution by counting the occurrences of each category from the list of responses.

I'll process the data now.The frequency distribution of the responses is as follows:

- **B (Bad)**: 19 responses
- **G (Good)**: 14 responses
- **I (Indifferent)**: 7 responses

### Step 2: Calculate the relative frequencies and percentages

Let's calculate the relative frequency and percentage for each category. The relative frequency is the count of each category divided by the total number of responses, and the percentage is the relative frequency multiplied by 100. I'll compute this next.It seems like I can’t do more advanced data analysis right now. Please try again later.

Would you like me to walk you through the calculations manually? I can help explain the process in detail.

Here are five questions to deepen your understanding:

1. What is the difference between frequency and relative frequency?
2. How would you compute the total percentage distribution across all categories?
3. What advantages does a Pareto chart provide in analyzing categorical data?
4. How are bar graphs and pie charts different in terms of visual representation?
5. Can you think of a scenario where relative frequency is more important than absolute frequency?

**Tip**: When calculating percentages, ensure that they sum up to 100% to avoid any errors in your analysis.

Forty adults were surveyed to determine if building casinos is good for society. Responses are categorized as Good (G), Bad (B), or Indifferent (I). The tasks involve preparing a frequency distribution table, calculating relative frequencies and percentages, and creating bar graphs, Pareto charts, and pie charts for the data.

Learn how to analyze survey data on building casinos, including creating frequency distribution tables, calculating relative frequencies, percentages, and visualizing data with bar graphs, Pareto charts, and pie charts. Suitable for students in Grades 10-12.

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