Step 1: Understanding the Concept:
The mode is a measure of central tendency representing the value that occurs most frequently in a dataset.
Detailed Explanation:
To find the mode, we count the frequency of each distinct value in the dataset:
The given set of integers is:
\[ \{-18, -13, 0, 16, 3, -15, 0, 11, -14, 0, 12\} \]
Let us determine the frequency of each number:
- \( -18 \): occurs 1 time
- \( -13 \): occurs 1 time
- \( 0 \): occurs 3 times (appearing at indices 3, 7, and 10)
- \( 16 \): occurs 1 time
- \( 3 \): occurs 1 time
- \( -15 \): occurs 1 time
- \( 11 \): occurs 1 time
- \( -14 \): occurs 1 time
- \( 12 \): occurs 1 time
The value \( 0 \) occurs most frequently (3 times), making it the mode of the dataset.
Step 2: Final Answer:
The mode of the given integers is 0.