Answer:
The correct answer is:
Sydney should choose the median after dropping one test score.
Explanation:
when scores are not dropped:
List of scores = 68%, 84%, 94%, 100%
Mean = (68 + 84 + 94 + 100) ÷ 4 = 86.5%
Median = 68 84 94 100
Median = (84 + 94) ÷ 2 = 89%
Although there are no outliers because Sydney was given the option to drop a test score, dropping the lowest score will increase his overall chances of making a higher score. Therefore, 68% will be dropped.
List of scores when the lowest score is dropped = 94%, 84%, 100%
Mean: (84 + 94 + 100) ÷ 3 = 92.7%
Median: 84, 94, 100
Median = 94% (middle term)
From the four possible scores, the highest score is 94%, and it is gotten by finding the median after dropping a score