What is the mode of the given data ?
`4,3,4,3,2,2,2,5,5,3,4,6,4,3,3`

Options

A. A)2
B. B)4
C. C)3
D. D)5

Answer

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

### Step 1: Write down the data
The given data is:
`4, 3, 4, 3, 2, 2, 2, 5, 5, 3, 4, 6, 4, 3, 3`

### Step 2: Arrange the data in ascending order
We will arrange the data in ascending order to make it easier to count the frequency of each number:
`2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6`

### Step 3: Count the frequency of each number
Now, we will count how many times each number appears in the data set:
- **2** appears **3 times**
- **3** appears **5 times**
- **4** appears **4 times**
- **5** appears **2 times**
- **6** appears **1 time**

### Step 4: Identify the mode
The mode is the number that appears most frequently in the data set. From our counts:
- **2**: 3 times
- **3**: 5 times
- **4**: 4 times
- **5**: 2 times
- **6**: 1 time

The number **3** appears the most frequently (5 times).

### Conclusion
Thus, the mode of the given data set is **3**.

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