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
are values that divide a 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 , 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 51 and 91, respectively. The first quartile is 56 and the third quartile is 87. The median of the data is 78.
Box-and-Whisker Plot
We want to make a using the obtained information.
Minimum:& 51
First Quartile:& 56
Median:& 78
Third Quartile:& 87
Maximum:& 91
This type of graph summarizes a set of data by displaying it along a . 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 through the median.
- The right whisker extends from the third quartile to the maximum.
Let's make our box-and-whisker plot!
Test Scores
