Word Problems: When to Use Mean, Median, and Mode

A carnival game has you guess what number will appear on the screen. You've been watching and recording the numbers that have been shown, from a total of $100$ rounds of play. Assume that if you step up to play the game yourself, the theoretical probability of any number appearing is the same as the experimental probability of any number appearing out of the rounds of play you watched. Which measure of central tendency will be most helpful to you for identifying a number to predict?