6. A sample consists of the following N scores: 1, 9, 8, 5, 7. a. Calculate the 2, and the x. b. Find the z-score for each score in the sample. x2 1 9 8 57

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Sample Data Analysis**

This section focuses on analyzing a given sample with the following tasks:

### Sample Details:
The sample consists of the following \( N \) scores: 1, 9, 8, 5, 7.

### Task A:
1. **Calculate the \( \sum X^2 \)**: Determine the sum of the squares of each score in the sample.
2. **Calculate the \( \sum X \)**: Determine the sum of the scores in the sample.

### Task B:
- **Find the z-score for each score in the sample**: The z-score indicates how many standard deviations an element is from the mean.

### Table Layout:
The table provides a structure for organizing calculations:

| \( X \) | \( X^2 \) | \( z \) |
|---------|-----------|----------|
| 1       |           |          |
| 9       |           |          |
| 8       |           |          |
| 5       |           |          |
| 7       |           |          |

Fill in each column by performing the relevant calculations. The \( X^2 \) column should contain the square of each \( X \) value, and the \( z \) column should contain the z-score calculations for each score.
Transcribed Image Text:**Sample Data Analysis** This section focuses on analyzing a given sample with the following tasks: ### Sample Details: The sample consists of the following \( N \) scores: 1, 9, 8, 5, 7. ### Task A: 1. **Calculate the \( \sum X^2 \)**: Determine the sum of the squares of each score in the sample. 2. **Calculate the \( \sum X \)**: Determine the sum of the scores in the sample. ### Task B: - **Find the z-score for each score in the sample**: The z-score indicates how many standard deviations an element is from the mean. ### Table Layout: The table provides a structure for organizing calculations: | \( X \) | \( X^2 \) | \( z \) | |---------|-----------|----------| | 1 | | | | 9 | | | | 8 | | | | 5 | | | | 7 | | | Fill in each column by performing the relevant calculations. The \( X^2 \) column should contain the square of each \( X \) value, and the \( z \) column should contain the z-score calculations for each score.
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