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?

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Author:Amos Gilat
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**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.
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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