The third quartile is the median of the upper half of the data set.
29
Practice makes perfect
Quartiles are values that divide a data set into four equal parts. When quartiles are combined with the minimum and maximum values, it is often called the five-number summary of the data set.
The median, which can also be known as the second quartile (Q_2), separates the data into upper and lower halves.
The first quartile (Q_1) is the median of the lower half of the data.
The third quartile (Q_3) is the median of the upper half of the data.
Let's identify the third quartile of the given data set. Do not forget to arrange the data from least to greatest first!
Given Data Set
17 21 42 29 12 17 18 19 27 36
Arranged Data Set
12 17 17 18 19_(lower half)
21 27 29 36 42_(upper half)
We found that the third quartile is 29.
