Calculate the 'Mode' :
7, 12, 8, 5, 6, 4, 9, 10, 8, 9, 7, 9, 6, 5, 9

Question

Calculate the 'Mode' : 
7, 12, 8, 5, 6, 4, 9, 10, 8, 9, 7, 9, 6, 5, 9

Accepted Answer

The 'Mode' of a set of numbers is the value that appears most frequently. To determine the mode of the given data set, we need to count the frequency of each number:

- 7 appears 2 times
- 12 appears 1 time
- 8 appears 2 times
- 5 appears 2 times
- 6 appears 2 times
- 4 appears 1 time
- 9 appears 4 times
- 10 appears 1 time

From this frequency count, we can see that the number 9 appears 4 times, which is more frequent than any other number in the list. Therefore, the mode of the data set is 9.

Now, let's examine why the other options are incorrect:

1. **Option 1 (15):** The number 15 does not appear in the data set at all, so it cannot be the mode.

2. **Option 3 (5):** The number 5 appears 2 times, which is less frequent than the number 9, which appears 4 times. Therefore, 5 cannot be the mode.

3. **Option 4 (11):** The number 11 does not appear in the data set at all, so it cannot be the mode.

In conclusion, the correct answer is Option 2, as the number 9 is the most frequently occurring number in the data set, making it the mode.