Arrange the data from least to greatest before identifying the minimum, maximum, and quartiles.
Minimum: 5 First Quartile: 7 Median: 10 Third Quartile: 11 Maximum: 12
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 five-number summary of the given data set. Do not forget to arrange the data from least to greatest first!
Given Data Set
12 10 11 7 9 10 5
Arranged Data Set
5 7 9_(lower half)
10
10 11 12_(upper half)
The minimum and maximum values are 5 and 12, respectively. The first quartile is 7 and the third quartile is 11. The median of the data is 10.
