Question

17. What are the minimum, first quartile, median, third quartile, and maximum of the data set? 40, 7, 2, 35, 12, 23, 18, 28

Answer 1

First step!  Arrange the numerals {40, 7, 2, 35, 12, 23, 18, 28} in ascending order:  {2, 7, 12, 18, 23, 28, 35, 40}

Count these numerals:  there are 8 (an even number)

To find the median of this set of numerals, take the middle 2 values {18, 23} and average them:  median = (18+23)/2 = 41/2

Now, on the left of 41/2, we have the subset {2, 7 , 12, 18}.  The median of this subset is found in the same way as was 41/2 (above):
(7+12)/2 = 19/2 (First quartile)

The median of the right subset {23, 28, 35, 40} is (28+35)/2, or 63/2.  This is the 3rd quartile.

The max. is 40 (this is the largest numeral given).