Final answer:
The value 7 is the mode of the given data set because it occurs most frequently. It is not the mean, median, or an outlier.
Step-by-step explanation:
In the given data set {7, 5, 0, 2, 7, 15, 5, 2, 7, 18, 7, 3, 0}, the number 7 occurs four times, which is more than any other number in the set. Therefore, the value 7 is considered the mode of this data set, as the mode is defined as the most frequent value in a set of data.
To clarify further, the mean is the average of all the numbers and is calculated by summing all the numbers and then dividing by the count of numbers. The median is the middle number in a sorted, ascending or descending, list of numbers and can be more representative of the data set when the data is skewed by outliers. An outlier is a value that is significantly higher or lower than most of the other values in a data set, and although 7 is a frequently occurring number, it is not an outlier by definition.