Find the mode of the following data.
3,7,4,5,9,1,7,2,2,8,1,2,4,7,7,12,11,9,8,4,7

Answer

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

### Step 1: Organize the Data
First, we will write the data in ascending order. The given data is:
3, 7, 4, 5, 9, 1, 7, 2, 2, 8, 1, 2, 4, 7, 7, 12, 11, 9, 8, 4, 7.

Arranging this in ascending order gives us:
1, 1, 2, 2, 2, 3, 4, 4, 4, 5, 7, 7, 7, 7, 7, 8, 8, 9, 9, 11, 12.

### Step 2: Count the Frequency of Each Number
Next, we will count how many times each number appears in the ordered list:

- 1 appears 2 times
- 2 appears 3 times
- 3 appears 1 time
- 4 appears 3 times
- 5 appears 1 time
- 7 appears 5 times
- 8 appears 2 times
- 9 appears 2 times
- 11 appears 1 time
- 12 appears 1 time

### Step 3: Identify the Mode
The mode is the number that appears most frequently in the data set. From our frequency count, we can see:

- The number 7 appears 5 times, which is more than any other number.

### Conclusion
Thus, the mode of the given data is **7**.

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