Answer:
The answer is B. The correct median of the data set is C, 15.
Step-by-step explanation:
To do a quick recap:
Mode is the average value that is found by adding up all the values and dividing them by the number of values you used.
Median is the number found in the very middle, so Darcy is correct about what a median is.
Mode is the number that appears most.
Notice that the numbers are not arranged in numerical order from least to greatest. She just took the number that she saw in the middle, without considering where it would stand if the numbers were ranked from least to most.
Here's a ranking of all the numbers from least to greatest:
8, 9, 9, 12, 13, 14, 15, 15, 16, 16, 16, 17, 21
From this ranking, we can see that there are a total of 13 numbers. Therefore, the 7th number is the median, which means that the median is 15.