**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.

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Description: **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

Given data: The tabular data is provided as: x1 x2 x3 Marginal distribution y1 20 25 50 95…

Answered: (a) Construct a frequency marginal…

Math

Statistics

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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

**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.

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