Answer :

Final answer:

The median of the given data set is 56. It's found by arranging the data numerically and then taking the average of the middle two numbers in the set.

Explanation:

To find the median of a given data set, we need to first arrange the data in numerical order. The given data set: 54, 57, 56, 57, 45, 56, 57, 55, when organized numerically, becomes: 45, 54, 55, 56, 56, 57, 57, 57.

Since this data set contains an even number of observations, the median is calculated as the average of the two middle numbers. In this case, the middle values are the fourth and fifth values which are 56 and 56 respectively. Therefore, the median of this given data set is 56.

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