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.
MP3 Player Prices (in dollars)
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
124 95 105 110 95 124 300 190 114
Arranged Data Set
95 95 105 110_(lower half)
114
124 124 190 300_(upper half)
The minimum and maximum values are 95 and 300, respectively.
Since the number of values in each half is even, the first quartile is the average of the two middle values in the lower half.
Q_1: 95+ 1052= 100
Analogously, the third quartile is the average of the two middle values in the upper half.
Q_3: 124+1902=157
The first quartile is 100 and the third quartile is 157. The median of the data is 114.
Box-and-Whisker Plot
We want to make a box-and-whisker plot using the obtained information.
Minimum:& 95
First Quartile:& 100
Median:& 114
Third Quartile:& 157
Maximum:& 300
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!
MP3 Player Prices (in dollars)
