Suppose you took a test and your score was reported as a z-score instead of a percentage. If your score was listed as z = 4, then your score is: O4 points below the mean equal to the mean 4 standard deviations below the mean 4 standard deviations above the mean 4 points above the mean

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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7.
**Understanding Z-Scores in Test Results**

**Suppose you took a test and your score was reported as a z-score instead of a percentage. If your score was listed as \( z = -4 \), then your score is:**

- ( ) 4 points below the mean
- ( ) equal to the mean
- (•) 4 standard deviations below the mean
- ( ) 4 standard deviations above the mean
- ( ) 4 points above the mean

**Explanation:**
A z-score represents how many standard deviations a particular score is from the mean of a data set. In this context:
- A z-score of \( -4 \) signifies that the test score is 4 standard deviations below the average score.

**Interactive Activity:**
Use this information to identify where your test score lies in relation to the mean score. Consider the implications of standard deviation and mean to improve your understanding of your performance relative to others.
Transcribed Image Text:**Understanding Z-Scores in Test Results** **Suppose you took a test and your score was reported as a z-score instead of a percentage. If your score was listed as \( z = -4 \), then your score is:** - ( ) 4 points below the mean - ( ) equal to the mean - (•) 4 standard deviations below the mean - ( ) 4 standard deviations above the mean - ( ) 4 points above the mean **Explanation:** A z-score represents how many standard deviations a particular score is from the mean of a data set. In this context: - A z-score of \( -4 \) signifies that the test score is 4 standard deviations below the average score. **Interactive Activity:** Use this information to identify where your test score lies in relation to the mean score. Consider the implications of standard deviation and mean to improve your understanding of your performance relative to others.
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