For the data set 1, 2, 3, 4, 5, which statements are true about mean, median, and mode?

• A. Mean and Median (both equal 3)
• B. Mean only
• C. Median only
• D. Mode only

Answer: (A)

This question centers on how the mean and median behave in a simple, symmetric data set. For 1, 2, 3, 4, 5, the center value is 3. The mean is found by averaging all values: (1+2+3+4+5)/5 = 3. The median is the middle number when the data are ordered, which is also 3. The mode is the value that appears most often; here every number appears exactly once, so there is no single mode.

Because both the mean and the median are 3, the statement describing both as 3 is true, making it the best choice. The mode doesn’t provide a single value in this dataset, which doesn’t contradict the fact that the mean and median equal 3. The other options incorrectly claim that only one of the measures is 3 or that the mode is the sole true measure.