Which measure represents the average of all data points in a data set?

• A. The $\mathrm{mean}$
• B. The $\mathrm{range}$
• C. The $\mathrm{mode}$
• D. The $\mathrm{median}$

Answer: (A)

Verified step by step guidance

1. Understand that the problem is asking for the measure that represents the average of all data points in a data set.
2. Recall the definitions of the given options: the mean, the range, the mode, and the median.
3. The mean is calculated by summing all data points and then dividing by the number of data points, which gives the average value.
4. The range is the difference between the maximum and minimum values in the data set, which measures spread, not average.
5. The mode is the most frequently occurring value, and the median is the middle value when data is ordered; neither represents the average of all data points.