Find the mode in each of the following data collection.
` 12, 13, 12, 15, 16, 16, 13, 12, 14, 18, 12, 12, 14, 15, 19, 12, 14 `

Options

A. `10`
B. `12`
C. `9`
D. `8`

Answer

To find the mode of the given data collection, we will follow these steps:

### Step 1: List the Data
The data collection provided is:
`12, 13, 12, 15, 16, 16, 13, 12, 14, 18, 12, 12, 14, 15, 19, 12, 14`

### Step 2: Count the Frequency of Each Number
We will count how many times each number appears in the data set.

- **12**: Appears 6 times
- **13**: Appears 2 times
- **14**: Appears 3 times
- **15**: Appears 2 times
- **16**: Appears 2 times
- **18**: Appears 1 time
- **19**: Appears 1 time

### Step 3: Identify the Highest Frequency
Now, we will identify which number has the highest frequency.

- The frequency of **12** is 6.
- The frequency of **13** is 2.
- The frequency of **14** is 3.
- The frequency of **15** is 2.
- The frequency of **16** is 2.
- The frequency of **18** is 1.
- The frequency of **19** is 1.

### Step 4: Determine the Mode
The mode is the number that appears most frequently. In this case, **12** appears 6 times, which is more than any other number.

### Conclusion
Thus, the mode of the given data is:
**Mode = 12**

---