The mode of the observations 11, 12, 13, 12, and 12 is

Answer

To find the mode of the observations 11, 12, 13, 12, and 12, we will follow these steps:

### Step 1: List the Observations
We have the following observations:
- 11
- 12
- 13
- 12
- 12

### Step 2: Count the Frequency of Each Observation
Next, we will count how many times each number appears in the list:
- The number 11 appears **1 time**.
- The number 12 appears **3 times**.
- The number 13 appears **1 time**.

### Step 3: Identify the Mode
The mode is the number that appears most frequently in the data set. From our frequency counts:
- 11 occurs 1 time
- 12 occurs 3 times
- 13 occurs 1 time

Since 12 occurs the most (3 times), it is the mode.

### Conclusion
Thus, the mode of the observations is **12**.

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