Arrange the data from least to greatest before identifying the minimum and maximum values and quartiles.
Minimum: 25 First Quartile: 30 Median: 35 Third Quartile: 45 Maximum: 55
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!
The minimum and maximum values are 25 and 55, respectively. The first quartile is 30 and the third quartile is 45. Since the number of values is even, the median is the average of the two middle values.
Median: 30+ 402= 35
