If 18 were added to the data set below, which statement is true?16, 14, 22, 16, 16, 18, 15, 25Group of answer choicesThe mode increases.The mean increases.The median increases.The mean decreases.

To answer this question, we first need to understand what each term means:

1. Mode: The number that appears most frequently in a data set.
2. Mean: The average of the numbers in a data set.
3. Median: The middle number in a sorted, ascending or descending, list of numbers.

Now, let's analyze each statement:

1. The mode increases: The mode of the given data set is 16, as it appears three times. If we add another 18 to the data set, the mode will still be 16 because it still appears more frequently than 18. So, this statement is false.

2. The mean increases: The mean is calculated by adding all numbers in the data set and dividing by the count of numbers. If we add 18, which is higher than the current mean of the data set, the new mean will be higher. So, this statement is true.

3. The median increases: The median is the middle number of a sorted data set. If we add 18 to the data set and sort it, the median will still be 16. So, this statement is false.

4. The mean decreases: As explained in point 2, the mean will increase if we add 18 to the data set. So, this statement is false.

Therefore, the correct answer is "The mean increases."