We want to construct a double for the data. To so do, so we will first identify the minimum, first quartile, median, third quartile, and maximum of the given . Let's do it!
Homeroom 212
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 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 data set representing the food items collected by Homeroom 212. Do not forget to arrange the data from least to greatest first!
The minimum and maximum values are 4 and 25, respectively. The median of the data is 11. Since there is an even number of values in the lower and upper half of the data, we can use the average of the middle values to calculate each quartile.
&Q_1: 8+ 82=8
&Q_3: 13+ 172= 15
The first quartile is 8 and the third quartile is 15.
Homeroom 215
Let's identify the five-number summary of the data set representing food items collected by Homeroom 215. Do not forget to arrange the data from least to greatest first!
The minimum and maximum values are 10 and 30, respectively. The median of the data is 15. Since there is an even number of values in the lower and upper half of the data, we can use the average of the middle values to calculate each quartile.
&Q_1: 12+ 122=12
&Q_3: 16+ 202= 18
The first quartile is 12 and the third quartile is 18.
Double Box Plot
We identified the five-number summary for each of the homerooms. Let's create a table representing both summaries.
|
|
Homeroom 212
|
Homeroom 215
|
| Minimum
|
4
|
10
|
| Maximum
|
25
|
30
|
| Q_1
|
8
|
12
|
| Median
|
11
|
15
|
| Q_3
|
15
|
18
|
We can use the table to construct the double box plot. Let's start by drawing a that includes the minimum and maximum value of each data set. Then, we will draw above the number line for the five-number summary.
Next, we can create the box for each plot using the first and third quartiles. Then, we will draw a line through the median and the whiskers from the box to the minimum and maximum values of each data set.
