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
Related questions
Question
Help me fill out this chart for this practice problem?

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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman