Find the third quartile Q3 of the list of 24 sorted values s

Find the third quartile Q_3 of the list of 24 sorted values shown below. 32 33 35 36 37 38 39 41 43 43 44 48 49 51 52 52 57 57 61 69 70 74 79 80 The third quartile Q_3 is . Type an integer or a decimal)

Solution

given list is 32,33,35,36,37,38,39,41,43,43,44,48,49,51,52,52,57,57,61,69,70,74,79,80

there are totally 24 elements are there

divide them into half first half

32,33,35,36,37,38,39,41,43,43,44,48 (first half) ||49,51,52,52,57,57,61,69,70,74,79,80 (second half)

now find median 48 ,49

The third quartile (Q₃) is the middle value between the median and the highest value of the data set.

so third quartile is 57