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which list includes the lower extreme, the lower quartile, the median, the upper quartile, and the upper extreme for the data set given?

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

a,{8, 24, 30, 33.5, 42}
b.{8, 20, 30, 36, 42}
c.{8, 20, 30, 35, 42}
d.{8, 24, 30, 36, 42}

First, we list the data in increasing order: 8, 14, 20, 28, 29, 30, 31, 32, 35, 36, 42. We can see that the median or the value at the midpoint of the data set is 30. Next, we divide it into the lower quartile: 8, 14, 20, 28, 29 and the upper quartile: 31, 32, 35, 36, 42. The lower extreme refers to the lowest number in the data set which is 8 while the upper extreme refers to the highest number which is 42. The lower quartile is considered to be the median of the lower half of the data set. In this case, it is 20. On the other hand, the upper quartile has a similar definition which then gives 35 as the upper quartile. Thus, the answer is choice C.