median of the data set: 45, 52, 17, 63, 57, 42, 54, 58.
First, we need to put the numbers in order from least to greatest:
17, 42, 45, 52, 54, 57, 58, 63
There are eight numbers in the data set, so the median is the middle number. In this case, the fourth and fifth numbers (52 and 54) are in the middle. To find the median, we take the average of these two numbers:
(52 + 54) / 2 = 106 / 2 = 53
Therefore, the median of the data set is 53.