A national math examination has 4 statics problems. The distribution of the number of students who ansered the question correctly is shown in the chart. If 400 students took the exam and each question was worth 25 points, then what is the average score of the students taking the exam?
`{:("Question Number","Number of students who solved the question"),(1,200),(2,304),(3,350),(4,250):}`

Options

A. 1 point
B. 25 points
C. 26 points
D. 69 points

Answer

To find the average score of the students taking the exam, we will follow these steps:

### Step 1: Calculate the total points earned by students for each question.
Each question is worth 25 points. We will calculate the total points for each question based on the number of students who solved it correctly.

1. **Question 1:**
- Number of students who solved: 200
- Total points = 200 students × 25 points = 5000 points

2. **Question 2:**
- Number of students who solved: 304
- Total points = 304 students × 25 points = 7600 points

3. **Question 3:**
- Number of students who solved: 350
- Total points = 350 students × 25 points = 8750 points

4. **Question 4:**
- Number of students who solved: 250
- Total points = 250 students × 25 points = 6250 points

### Step 2: Calculate the total points earned by all students.
Now, we will sum the total points from all questions:

\[ \text{Total Points} = 5000 + 7600 + 8750 + 6250 \]

Calculating this gives:

\[ \text{Total Points} = 5000 + 7600 + 8750 + 6250 = 27600 \text{ points} \]

### Step 3: Calculate the average score of the students.
To find the average score, we divide the total points by the total number of students who took the exam:

\[ \text{Average Score} = \frac{\text{Total Points}}{\text{Number of Students}} = \frac{27600}{400} \]

Calculating this gives:

\[ \text{Average Score} = 69 \text{ points} \]

### Conclusion:
The average score of the students taking the exam is **69 points**.

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