Using the median concept, the correct statement is given as follows:
Her median score does not change.
<h3>What is the median of a data-set?</h3>
The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile, also called the middle value the data-set, not being affected by outliers.
For this problem, the data-set is given as follows:
7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00.
There are 8 scores, hence the median is the <u>mean of the 4th and the 5th</u> scores, as follows:
(7.75 + 8)/2 = 7.875.
Removing the extreme values, the data-set will be given by:
7.50, 7.75, 7.75, 8.00, 8.00, 8.00.
Then it has 6 scores, hence the median is the <u>mean of the 3th and the 4th</u> scores, as follows:
(7.75 + 8)/2 = 7.875.
Same median, hence the correct option is:
Her median score does not change.
More can be learned about the median of a data-set at brainly.com/question/23923146
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