Scores had a Mean of 82 and a Standard Deviation of 5 0. Find a z score for x =81 and x = 68 Z- score for 81 -0.2 z- score for 68 28 1. Find the percent of scores that were above 86. Z score for 86 Table score for 86
Scores had a Mean of 82 and a Standard Deviation of 5 0. Find a z score for x =81 and x = 68 Z- score for 81 -0.2 z- score for 68 28 1. Find the percent of scores that were above 86. Z score for 86 Table score for 86
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Transcription for Educational Website**
**Scores Analysis with Mean and Standard Deviation**
The analysis provides calculations of z-scores and the percentage of scores above a certain threshold, using the following statistical parameters:
- Mean (average) of scores: 82
- Standard Deviation: 5
**Questions and Solutions:**
6. **Find a z-score for x = 81 and x = 68**
- *Z-score for 81*: -0.2
- *Z-score for 68*: -2.8
7. **Find the percent of scores that were above 86.**
- Z-score for 86: _______
- Table score for 86: _______
To solve these, students are expected to apply the standard z-score formula:
\[ z = \frac{(x - \text{mean})}{\text{standard deviation}} \]
Where \( x \) is the raw score, the mean is the average score (82), and the standard deviation is 5. The z-scores indicate how many standard deviations an element is from the mean.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26e9d1e4-e751-46db-8f1e-f1957aec9903%2F9673b8a5-86d8-485c-94ff-612c419f5804%2F49dbt7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
**Scores Analysis with Mean and Standard Deviation**
The analysis provides calculations of z-scores and the percentage of scores above a certain threshold, using the following statistical parameters:
- Mean (average) of scores: 82
- Standard Deviation: 5
**Questions and Solutions:**
6. **Find a z-score for x = 81 and x = 68**
- *Z-score for 81*: -0.2
- *Z-score for 68*: -2.8
7. **Find the percent of scores that were above 86.**
- Z-score for 86: _______
- Table score for 86: _______
To solve these, students are expected to apply the standard z-score formula:
\[ z = \frac{(x - \text{mean})}{\text{standard deviation}} \]
Where \( x \) is the raw score, the mean is the average score (82), and the standard deviation is 5. The z-scores indicate how many standard deviations an element is from the mean.
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