Arrange the data from least to greatest before identifying the minimum, maximum, and quartiles.
Minimum: 100 First Quartile: 100 Median: 101 Third Quartile: 103 Maximum: 105
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
101 100 100 105 101 102 104
Arranged Data Set
100 100 101_(lower half)
101
101 103 105_(upper half)
The minimum and maximum values are 100 and 105, respectively. The first quartile is 100 and the third quartile is 103. The median of the data is 101.
