Arrange the data from least to greatest before identifying the minimum and maximum values and quartiles. We will need these values to make the box plot.
Practice makes perfect
We want to make a box plot using the provided data set. We will start by identifying the minimum, first quartile, median, third quartile, and maximum of the given data set. Then we will make a box plot using these values.
Values
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 1 and 7, respectively. The median of the data is 3. Since the number of values in the lower and upper halves are even, the first quartile and the third quartile are the average of the two middle values.
First quartile: 2+ 32= 2.5
Third quartile: 5+ 62= 5.5
Box Plot
Now we can make a box plot using the obtained information.
Minimum:& 1
First Quartile:& 2.5
Median:& 3
Third Quartile:& 5.5
Maximum:& 7
This type of graph summarizes a set of data by displaying it along a number line. It consists of three parts: a box and two whiskers.
The left whisker extends from the minimum to the first quartile.
The box extends from the first to the third quartile and has a vertical line through the median.
The right whisker extends from the third quartile to the maximum.
