Arrange the data from least to greatest before identifying the minimum and maximum values and quartiles.
You will need these values to make the box-and-whisker plot.
Practice makes perfect
We want to make a box-and-whisker plot. In order to do that, we need to identify the minimum, first quartile, median, third quartile, and maximum of the given data set. 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!
The minimum and maximum values are 105 and 150, respectively.
Since the number of values in the lower half and upper half is even, each quartile is the average of the two middle values in their respective halves.
First quartile: & 117+ 1202= 118.5
Second quartile: & 136+ 1452= 140.5
The median of the data is 130.
Box-and-Whisker Plot
We want to make a box-and-whisker plot using the obtained information.
Minimum:& 105
First Quartile:& 118.5
Median:& 130
Third Quartile:& 140.5
Maximum:& 150
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.
