Set up an equation and find each measure

(C) {8, 20, 30, 35, 42}

Step-by-step explanation:

The given data set is:

14, 30, 35, 8, 29, 28, 31, 42, 20, 36, 32

In order to find the median, first arrange the given data set in ascending order that is:

8, 14, 20, 28, 29, 30, 31, 32, 35, 36, 42

Now, the median of the given data set is:

(Median is the middle value of the given data set)

Also, the lower Quartile is:

8, 14, 20, 28, 29

Thus,

And, the upper quartile is:

31, 32, 35, 36, 42

Thus,

Now, the lower extreme value is 8 and the upper extreme value is 42.

Thus, the list that includes the lower extreme, the lower quartile, the median, the upper quartile, and the upper extreme for the data set given is

{8, 20, 30, 35, 42}.

Therefore, option (C) is correct that is {8, 20, 30, 35, 42}