3. Calculate the mean, median, mode, variance, and standard deviation for each of the following two groups of scores, which represent student performance on a health science test, with the highest possible score being 50. Group A Group B 35 21 20 25 49 28 50 44 33 41 16 29 44 37 21 40 45 39 23 26 a. Which group has the greatest variability in scores?: b. Which group has the highest mean score? c. How would you describe each group when comparing it to the other?
3. Calculate the mean, median, mode, variance, and standard deviation for each of the following two groups of scores, which represent student performance on a health science test, with the highest possible score being 50. Group A Group B 35 21 20 25 49 28 50 44 33 41 16 29 44 37 21 40 45 39 23 26 a. Which group has the greatest variability in scores?: b. Which group has the highest mean score? c. How would you describe each group when comparing it to the other?
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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Transcribed Image Text:**Title: Statistical Analysis of Student Performance Scores**
**Objective:**
Calculate the mean, median, mode, variance, and standard deviation for two groups of student performance scores on a health science test. The highest possible score is 50.
**Data:**
| Group A | Group B |
|---------|---------|
| 35 | 20 |
| 49 | 25 |
| 33 | 50 |
| 44 | 16 |
| 45 | 29 |
| 28 | 44 |
| 41 | 21 |
| 37 | 23 |
| 39 | 40 |
| 21 | 26 |
**Questions:**
a. Which group has the greatest variability in scores?
b. Which group has the highest mean score?
c. How would you describe each group when comparing it to the other?
**Analysis Steps:**
- **Mean:** Calculate the average score for each group.
- **Median:** Determine the middle score when all scores are listed in order.
- **Mode:** Identify the score(s) that appear most frequently.
- **Variance:** Measure how much the scores in each group vary from the mean.
- **Standard Deviation:** Calculate the spread of scores around the mean. A higher standard deviation indicates more variability.
**Conclusion:**
Complete the analysis to answer the questions regarding variability, mean score, and comparisons between the two groups.
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