Question

In some gymnastics meets, the score given to a gymnast is the mean of the judges’ scores after the highest and lowest scores have been tossed out. nikita’s scores on the floor routine from all of the judges are: 7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00 how does removing the highest and lowest scores affect the median of the scores? her median score does not change. her median score is lower after removing the highest and lowest scores. her median score is higher after removing the highest and lowest scores. there is not enough information to determine if her median score increases or decreases.

Answer 1

Using the median concept, the correct statement is given as follows:

Her median score does not change.

What is the median of a data-set?

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 mean of the 4th and the 5th 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 mean of the 3th and the 4th 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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