Statement-1 :The mode of the items given as `0,1,6,7,2,3,7,6,6,2,6,0,5,6,0` is `6`.
Statement-2 : Mode is the observation with maximum frequency , whenever the other observations have for less frequencies.

Options

A. a) Both statement I and statement II are correct. Statement II is correct explanation of statement I
B. b) Both statement I and statement II are correct. Statement II is not the correct explanation of statement I
C. c) Statement I is correct and statement II is incorrect.
D. d) Statement I is incorrect and statement II is correct.

Answer

To solve the question, we need to analyze the two statements regarding the mode of the given data set.

### Step-by-Step Solution:

1. **Identify the Data Set**:
The given data set is:
\[ 0, 1, 6, 7, 2, 3, 7, 6, 6, 2, 6, 0, 5, 6, 0 \]

2. **Tally the Frequencies**:
We will count how many times each number appears in the data set. We will create a frequency table.

- **Numbers**: 0, 1, 2, 3, 4, 5, 6, 7
- **Tally**:
- 0: |||
- 1: |
- 2: ||
- 3: |
- 4:
- 5: |
- 6: |||||
- 7: ||

- **Frequencies**:
- 0 appears 3 times
- 1 appears 1 time
- 2 appears 2 times
- 3 appears 1 time
- 4 appears 0 times
- 5 appears 1 time
- 6 appears 5 times
- 7 appears 2 times

3. **Determine the Mode**:
The mode is the number that appears most frequently in the data set. From our tally:
- The frequency of 6 is 5, which is higher than the frequencies of all other numbers.

Therefore, the mode of the data set is:
\[ \text{Mode} = 6 \]

4. **Evaluate Statement 1**:
Statement 1 claims that the mode of the items is 6. Based on our calculation, this statement is **correct**.

5. **Evaluate Statement 2**:
Statement 2 states that the mode is the observation with maximum frequency whenever the other observations have less frequency. This is indeed the definition of mode.

Therefore, Statement 2 is also **correct**.

6. **Conclusion**:
Since both statements are correct and Statement 2 correctly explains Statement 1, the correct option is:
\[ \text{Option A: Both statement 1 and statement 2 are correct. Statement 2 is the correct explanation of statement 1.} \]