Score: 0 of 3 points
A professor taught a class in Statistics. At the end of the semester, students filled out course evaluations on a scale of 1 to 9 ( 1 being the worst and 9 the
best). Here are the results:

Calculate the mean and the median course evaluation this professor got.
Mean Enter your answer
Median Enter your answer

Ask by French Hampton. in the United States

Jan 16,2025

Question

Score: 0 of 3 points
A professor taught a class in Statistics. At the end of the semester, students filled out course evaluations on a scale of 1 to 9 ( 1 being the worst and 9 the
best). Here are the results:

Calculate the mean and the median course evaluation this professor got.
Mean Enter your answer
Median Enter your answer

Ask by French Hampton. in the United States

Jan 16,2025

UpStudy AI · Accepted Answer

To calculate the **mean** and **median** of the course evaluation scores, follow these steps:

### Given Data:
$$ 5, 6, 9, 8, 8, 7, 4, 6, 9, 7 $$

### 1. Mean

**Formula:**
$$
\text{Mean} = \frac{\sum \text{(All Scores)}}{\text{Number of Scores}}
$$

**Calculation:**
$$
\sum \text{Scores} = 5 + 6 + 9 + 8 + 8 + 7 + 4 + 6 + 9 + 7 = 69
$$
$$
\text{Number of Scores} = 10
$$
$$
\text{Mean} = \frac{69}{10} = 6.9
$$

**Mean $$ = 6.9 $$**

---

### 2. Median

**Steps to Find Median:**

1. **Sort the Data in Ascending Order:**
   $$
   4, 5, 6, 6, 7, 7, 8, 8, 9, 9
   $$

2. **Determine the Middle Position:**
   - Since there are 10 scores (an even number), the median is the average of the 5th and 6th values.

3. **Identify the 5th and 6th Scores:**
   $$
   5^{th} \text{ score} = 7
   $$
   $$
   6^{th} \text{ score} = 7
   $$

4. **Calculate the Median:**
   $$
   \text{Median} = \frac{7 + 7}{2} = 7
   $$

**Median $$ = 7 $$**

---

### **Final Answers:**
- **Mean $$ = 6.9 $$**
- **Median $$ = 7 $$**
Mean $$ = 6.9 $$, Median $$ = 7 $$.

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