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
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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ed591d0-8541-4464-84ce-9483459e1447%2F9837cc27-669a-4e1b-998a-ee221e945795%2Fculcrwq_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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