(a) Construct a frequency marginal distribution. X2 Marginal distribution X1 X3 Y1 20 50 Y2 30 25 50 Marginal distribution 25

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**Data Set and Marginal Distribution Instructions**

Consider the data set given in the accompanying table. You are tasked with completing parts (a) through (d) based on the data provided. To begin, you can click the icon to view the data table.

**Part (a) Instructions: Construct a Frequency Marginal Distribution**

Below is the initial data table you will use:

|       | x₁  | x₂  | x₃  | Marginal Distribution |
|-------|-----|-----|-----|-----------------------|
| y₁    | 20  | 25  | 50  |                       |
| y₂    | 30  | 25  | 50  |                       |
| Marginal Distribution |     |     |     |                       |

**Explanation of the Table and Task:**

- The table contains variables across two axes: the horizontal axis (x₁, x₂, x₃) and the vertical axis (y₁, y₂).
- You are required to calculate the sum of each row and each column to complete the marginal distribution, which summarizes the data by showing the totals across different categories.

The calculated values need to be filled in the "Marginal Distribution" column and row, providing a complete overview of frequency for both x and y categories.
Transcribed Image Text:**Data Set and Marginal Distribution Instructions** Consider the data set given in the accompanying table. You are tasked with completing parts (a) through (d) based on the data provided. To begin, you can click the icon to view the data table. **Part (a) Instructions: Construct a Frequency Marginal Distribution** Below is the initial data table you will use: | | x₁ | x₂ | x₃ | Marginal Distribution | |-------|-----|-----|-----|-----------------------| | y₁ | 20 | 25 | 50 | | | y₂ | 30 | 25 | 50 | | | Marginal Distribution | | | | | **Explanation of the Table and Task:** - The table contains variables across two axes: the horizontal axis (x₁, x₂, x₃) and the vertical axis (y₁, y₂). - You are required to calculate the sum of each row and each column to complete the marginal distribution, which summarizes the data by showing the totals across different categories. The calculated values need to be filled in the "Marginal Distribution" column and row, providing a complete overview of frequency for both x and y categories.
The image shows a data table with two rows and three columns. The columns are labeled \( x_1 \), \( x_2 \), and \( x_3 \). The rows are labeled \( y_1 \) and \( y_2 \). 

- For \( x_1 \): 
  - \( y_1 = 20 \) 
  - \( y_2 = 30 \)

- For \( x_2 \): 
  - \( y_1 = 25 \)
  - \( y_2 = 25 \)

- For \( x_3 \): 
  - \( y_1 = 50 \)
  - \( y_2 = 50 \)

This table provides a set of values that could represent variables in a mathematical or statistical problem, often seen in educational contexts to demonstrate data relationships or functions.
Transcribed Image Text:The image shows a data table with two rows and three columns. The columns are labeled \( x_1 \), \( x_2 \), and \( x_3 \). The rows are labeled \( y_1 \) and \( y_2 \). - For \( x_1 \): - \( y_1 = 20 \) - \( y_2 = 30 \) - For \( x_2 \): - \( y_1 = 25 \) - \( y_2 = 25 \) - For \( x_3 \): - \( y_1 = 50 \) - \( y_2 = 50 \) This table provides a set of values that could represent variables in a mathematical or statistical problem, often seen in educational contexts to demonstrate data relationships or functions.
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