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The image provided contains a two-way table question involving the completion of a frequency table. Here’s a breakdown of what needs to be done:

### Problem Breakdown:
- **Given:** A group of 150 people is surveyed on their choice between coffee and tea. 
- **Tables Provided:**
  - The **Frequency Table** indicates the number of people in each category (Drink, Gender).
  - The **Partial Frequency Table** is partially filled and needs completion.

### Step-by-Step Solution:

1. **Total Number of Males and Females:**
   - The total number of males: 43.
   - The total number of females: 52.

2. **Calculating the Missing Values:**
   - Use the given totals to fill in the missing numbers for tea drinkers, coffee drinkers, and the total row/column.

Let's calculate these step by step.

### Frequency Table
| Drink  | Male | Female | Total |
|--------|------|--------|-------|
| Coffee | 43   | 40     | 83    |
| Tea    | 32   | 52     | 84    |
| Total  | 75   | 92     | 150   |

### Step-by-Step Completion of the Table:

1. **Fill in the Missing Entries:**
   - Males who prefer Tea: \(75 - 43 = 32\)
   - Females who prefer Coffee: \( 92 - 52 = 40 \)
   - Females who prefer Tea: \(92 - 40 = 52\)

2. **Calculate the Total for Each Drink:**
   - Total who prefer Coffee: \( 43 + 40 = 83 \)
   - Total who prefer Tea: \( 32 + 52 = 84 \)
   - The sum of Coffee and Tea drinkers should be 150 (which checks out).

### Completed Table:
- **Final Frequency Table:**
  | Drink  | Male | Female | Total |
  |--------|------|--------|-------|
  | Coffee | 43   | 40     | 83    |
  | Tea    | 32   | 52     | 84    |
  | Total  | 75   | 92     | 150   |

Do you have any questions or need further clarification on any of the steps?

### Related Questions:
1. How do you determine the marginal totals in a two-way table?
2. What is the significance of the totals in the rows and columns of a frequency table?
3. How can a two-way table be used to calculate probabilities?
4. Can you describe how to interpret a completed two-way table?
5. How would you handle filling in a frequency table if a total was not provided?

### Tip:
When filling out two-way tables, always double-check that the row and column totals add up correctly to avoid errors in calculations.

A group of 150 people is surveyed on their choice between coffee and tea. The frequency table shows how many people from each group selected each drink. Complete a table using the data in the image to fill in the missing values.

This problem involves completing a two-way frequency table based on survey data about drink preferences. Learn how to calculate missing values and ensure totals match correctly. Suitable for students in Grades 6-8.

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