Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$
- The median is at least as large as the mean.
- The mean is at least as large as the median.
- At most half the candidates have a score that is larger than the median
- At most half the candidates have a score that is larger than the mean.