Assertion : Consider the marks scored by 10 students in a test. 10, 9, 9, 8, 2, 8, 2, 8, 8, 7. The frequency of 8 in the data is 4.
Reason : 8 occurs 4 times in the data. So, its frequency is 4. 

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If assertion is false but reason is true.

Answer

To solve the question, we need to analyze the given assertion and reason about the frequency of the marks scored by the students. Here’s a step-by-step solution:

### Step 1: Understand the Data
The marks scored by the 10 students are:
10, 9, 9, 8, 2, 8, 2, 8, 8, 7.

### Step 2: Identify the Frequency of Each Score
We need to count how many times each score appears in the data.

- **Score 10**: Appears **1 time**.
- **Score 9**: Appears **2 times**.
- **Score 8**: Appears **4 times**.
- **Score 2**: Appears **2 times**.
- **Score 7**: Appears **1 time**.

### Step 3: Create a Frequency Table
We can organize the data in a frequency table:

| Marks Scored | Number of Students (Frequency) |
|--------------|-------------------------------|
| 10 | 1 |
| 9 | 2 |
| 8 | 4 |
| 2 | 2 |
| 7 | 1 |

### Step 4: Analyze the Assertion
The assertion states that "the frequency of 8 in the data is 4." From our frequency table, we can see that this is indeed correct.

### Step 5: Analyze the Reason
The reason states that "8 occurs 4 times in the data, so its frequency is 4." This is also correct, as we counted 4 occurrences of the score 8.

### Step 6: Conclusion
Both the assertion and the reason are true, and the reason correctly explains the assertion. Therefore, the correct answer is that both statements are true, and the reason is the correct explanation of the assertion.

### Final Answer
**Option 1**: Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

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