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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? jillian won the game because her score varied less than dawns score. jillian won the game because the person with the lower mean took fewer putts on average for each hole. dawn won the game because the person with the greater mean played better. dawn won the game because her mean absolute deviation was less than jillians.
The mean represents the average number of putts per hole. Since Jillian has a lower mean (2.4 < 3.3), she took fewer putts on average for each hole. Variance (score variation) and mean - absolute - deviation are not relevant as the problem states the winner is based on the lowest score (mean in this case). The greater mean (Dawn's 3.3) does not indicate a better performance.
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Jillian won the game because the person with the lower mean took fewer putts on average for each hole.