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
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Chapter1: Starting With Matlab
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---

### 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.
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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