Arrange the data from least to greatest before identifying the minimum, maximum, and quartiles. You will need these values to make the box-and-whisker plot.
Elevations (in feet)
Practice makes perfect
We want to identify the minimum, first quartile, median, third quartile, and maximum of the given data set. Then we will make a box-and-whisker plot using these values. Let's do these things one at a time.
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!
Given Data Set
-2 0 5 -4 1 -3 2 0 2 -3 6
Arranged Data Set
-4 -3 -3 -2 0_(lower half)
0
1 2 2 5 6_(upper half)
The minimum and maximum values are -4 and 6, respectively.
The first quartile is -3 and the third quartile is 2. The median of the data is 0.
Box-and-Whisker Plot
We want to make a box-and-whisker plot using the obtained information.
Minimum:& -4
First Quartile:& -3
Median:& 0
Third Quartile:& 2
Maximum:& 6
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.
Let's make our box-and-whisker plot!
Elevations (in feet)
