Suppose you want to know the variance of the weights of the only 6 Snakes in a particular 200. You measure their weights to be 8.3, 8.4, 8.6, 8.8, 9.2, and 9.5 pounds. 1. Calculate the mean for population :μ = 8.8 - Mean = Sum of all Entries # of Entries = 52.8 6 Difference from the Mean (x-μ) 8.3-8.8=-0.5 8.4=8.8--0-4 86-8.8--0.2 88-88-0 9.2-8.8 0.4 9.5-8.820-7 (x-1)= 0 (x-μ) 2. Weight M D 8.4 8.6 8.8 9.2 9.5 Total of the columns 52.8 (Dif. from Mean) ² (x-μ)² 2 Σ (x-1) ²
Suppose you want to know the variance of the weights of the only 6 Snakes in a particular 200. You measure their weights to be 8.3, 8.4, 8.6, 8.8, 9.2, and 9.5 pounds. 1. Calculate the mean for population :μ = 8.8 - Mean = Sum of all Entries # of Entries = 52.8 6 Difference from the Mean (x-μ) 8.3-8.8=-0.5 8.4=8.8--0-4 86-8.8--0.2 88-88-0 9.2-8.8 0.4 9.5-8.820-7 (x-1)= 0 (x-μ) 2. Weight M D 8.4 8.6 8.8 9.2 9.5 Total of the columns 52.8 (Dif. from Mean) ² (x-μ)² 2 Σ (x-1) ²
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![### Calculating the Variance of Snake Weights
Suppose you want to know the variance of the weights of the only 6 snakes in a particular zoo. You measure their weights to be: 8.3, 8.4, 8.6, 8.8, 9.2, and 9.5 pounds.
#### Step-by-Step Calculation:
**1. Calculate the Mean (μ) for the Population:**
The mean is calculated as the sum of all entries divided by the number of entries.
\[ \text{Mean} = \frac{\text{Sum of all entries}}{\text{\# of entries}} \]
Using the given weights:
\[ \text{Mean} = \frac{52.8}{6} = 8.8 \]
**2. Create a Table for Calculations:**
| Weight (X) | Difference from the Mean (X - μ) | (Difference from Mean)² ((X - μ)²) |
|------------|-----------------------------------|-------------------------------------|
| 8.3 | 8.3 - 8.8 = -0.5 | (-0.5)² = 0.25 |
| 8.4 | 8.4 - 8.8 = -0.4 | (-0.4)² = 0.16 |
| 8.6 | 8.6 - 8.8 = -0.2 | (-0.2)² = 0.04 |
| 8.8 | 8.8 - 8.8 = 0.0 | (0.0)² = 0.00 |
| 9.2 | 9.2 - 8.8 = 0.4 | (0.4)² = 0.16 |
| 9.5 | 9.5 - 8.8 = 0.7 | (0.7)² = 0.49 |
**3. Sum the Columns:**
Total of all Weights: 52.8
Sum of (X - μ): 0
Sum of (X - μ)²: 0.25 + 0.16 + 0.04 + 0.00 + 0.16 + 0.49 = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ff91c5f-b279-495c-b7b1-c706ab170133%2F7fa3cf7f-af04-40e1-9763-cdd63efd19ed%2Fppyxwe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculating the Variance of Snake Weights
Suppose you want to know the variance of the weights of the only 6 snakes in a particular zoo. You measure their weights to be: 8.3, 8.4, 8.6, 8.8, 9.2, and 9.5 pounds.
#### Step-by-Step Calculation:
**1. Calculate the Mean (μ) for the Population:**
The mean is calculated as the sum of all entries divided by the number of entries.
\[ \text{Mean} = \frac{\text{Sum of all entries}}{\text{\# of entries}} \]
Using the given weights:
\[ \text{Mean} = \frac{52.8}{6} = 8.8 \]
**2. Create a Table for Calculations:**
| Weight (X) | Difference from the Mean (X - μ) | (Difference from Mean)² ((X - μ)²) |
|------------|-----------------------------------|-------------------------------------|
| 8.3 | 8.3 - 8.8 = -0.5 | (-0.5)² = 0.25 |
| 8.4 | 8.4 - 8.8 = -0.4 | (-0.4)² = 0.16 |
| 8.6 | 8.6 - 8.8 = -0.2 | (-0.2)² = 0.04 |
| 8.8 | 8.8 - 8.8 = 0.0 | (0.0)² = 0.00 |
| 9.2 | 9.2 - 8.8 = 0.4 | (0.4)² = 0.16 |
| 9.5 | 9.5 - 8.8 = 0.7 | (0.7)² = 0.49 |
**3. Sum the Columns:**
Total of all Weights: 52.8
Sum of (X - μ): 0
Sum of (X - μ)²: 0.25 + 0.16 + 0.04 + 0.00 + 0.16 + 0.49 = 1
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