Sydney's teacher says she may have her report card percentage based on either the mean or the median and she can drop one test score if she chooses.

94%, 84%, 100%, 68%

Which measure of center should Sydney choose so she can have the highest percentage possible?

O Sydney should choose the mean after dropping one test score.

O Sydney should choose the mean without dropping one test score.

O Sydney should choose the median after dropping one test score.

O Sydney should choose the median without dropping one test score.

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The correct answer is:

Sydney should choose the median after dropping one test score.

Step-by-step 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

The correct answer is:

Sydney should choose the median after dropping one test score.

Step-by-step explanation:

when scores don't seem to be dropped:

List of scores = sixty eight, 84%, 94%, 100%

Mean = (68 + eighty four + ninety four + 100) ÷ four = eighty six.5%

Median = sixty eight eighty four ninety four one hundred

Median = (84 + 94) ÷ two = eighty nine

Although there aren't any outliers as a result of Sydney was given the choice to drop a take a look at score, dropping rock bottom score can increase his overall possibilities of creating the next score. Therefore, sixty eight are going to be born.

List of scores once rock bottom score is born = ninety four, 84%, 100%

Mean: (84 + ninety four + 100) ÷ three = ninety two.7%

Median: 84, 94, 100

Median = ninety four (middle term)

From the four doable scores, the very best score is ninety four, and it's gotten by finding the median when dropping a score

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m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true