Question

jillian and dawn are playing a game of miniature golf. in this game, the score on a hole is the number of putts it takes to get the ball into the hole. the winner is the player with the lowest score. after playing 18 holes, jillians mean is 2.4 and dawns mean is 3.3. which explains who won the game?
dawn won the game because the person with the greater mean played better.
jillian won the game because the person with the lower mean took fewer putts on average for each hole.
jillian won the game because her score varied less than dawns score.
dawn won the game because her mean absolute deviation was less than jillians.

Explanation:

The mean (average) score per hole is calculated. Since the winner is the player with the lowest score, we compare the means. Jillian's mean score of \(2.4\) is lower than Dawn's mean score of \(3.3\). The mean represents the average number of putts per hole. A lower mean indicates fewer putts on average per hole. Variability (such as mean - absolute deviation) is not relevant here as the problem only provides means and the winning criterion is based on the lowest score (mean in this context of average per hole).

Answer:

Jillian won the game because the person with the lower mean took fewer putts on average for each hole.