Help me fill out this chart for this practice problem? Certainly! Below is a transcribed version suitable for an educational website:---### Task 5: Compute the Variance of the Given Data**Data Table:**| **Test Scores (Xᵢ)** | **X - X̄ (Deviation from Mean)** | **(X - X̄)² (Squared Deviation)** ||----------------|-----------------------------|--------------------------------|| 58 | | || 61 | | || 64 | | || 71 | | || 79 | | || 81 | | || 83 | | || 84 | | || 91 | | || 92 | | |**Instructions:**1. **Calculate the Mean (X̄):** - Sum all the test scores and divide by the number of scores to find the mean.2. **Calculate Deviations:** - Subtract the mean from each test score to find the deviation (X - X̄).3. **Square the Deviations:** - Square each deviation to obtain (X - X̄)².4. **Find the Variance:** - Sum all the squared deviations. - Divide by the number of scores to get the variance (if calculating sample variance, divide by n-1).This exercise will help you understand the concept of variance, which is a measure of how much values in a data set diverge from the mean.

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Answered: 5. Compute the Variance on the data…

Math

Statistics

5. Compute the Variance on the data below Test Scores X-X bar (X-X) bar squared Xi 58 61 64 71 79 81 83 84 91 92

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

Bar Graphs

A bar graph is a chart or graphical representation of data. A bar chart, also known as a bar graph, is a graph or chart that displays categorical data using rectangular bars with heights or lengths equal to the values they represent. Typically, bar graphs show categorical and numerical variables grouped in class intervals. A bar graph is useful for comparing and analyzing a set of data.

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Help me fill out this chart for this practice problem?

Certainly! Below is a transcribed version suitable for an educational website:

---

### Task 5: Compute the Variance of the Given Data

**Data Table:**

| **Test Scores (Xᵢ)** | **X - X̄ (Deviation from Mean)** | **(X - X̄)² (Squared Deviation)** |
|----------------|-----------------------------|--------------------------------|
| 58 | | |
| 61 | | |
| 64 | | |
| 71 | | |
| 79 | | |
| 81 | | |
| 83 | | |
| 84 | | |
| 91 | | |
| 92 | | |

**Instructions:**

1. **Calculate the Mean (X̄):**
- Sum all the test scores and divide by the number of scores to find the mean.

2. **Calculate Deviations:**
- Subtract the mean from each test score to find the deviation (X - X̄).

3. **Square the Deviations:**
- Square each deviation to obtain (X - X̄)².

4. **Find the Variance:**
- Sum all the squared deviations.
- Divide by the number of scores to get the variance (if calculating sample variance, divide by n-1).

This exercise will help you understand the concept of variance, which is a measure of how much values in a data set diverge from the mean.

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