The mode of the data 12, 1, 10, 1, 9, 3, 4, 9, 7, 9, is

Options

A. 9
B. 12
C. 1
D. 7

Answer

To find the mode of the given data set: 12, 1, 10, 1, 9, 3, 4, 9, 7, 9, we will follow these steps:

### Step 1: Organize the Data
First, we will arrange the numbers in ascending order.

**Data in ascending order:**
1, 1, 3, 4, 7, 9, 9, 9, 10, 12

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

- 1 appears **2 times**
- 3 appears **1 time**
- 4 appears **1 time**
- 7 appears **1 time**
- 9 appears **3 times**
- 10 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:

- 1: 2 times
- 3: 1 time
- 4: 1 time
- 7: 1 time
- 9: 3 times (most frequent)
- 10: 1 time
- 12: 1 time

The number that appears the most is **9**, which appears **3 times**.

### Conclusion
Therefore, the mode of the data set is **9**.

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