As the name suggests, Box and Whisker Plot consists of a box (rectangular) and two lines extending from the edge of the box on the either sides of the box called the whiskers, whiskers because they resemble the whiskers of a cat. The graph looks something like the one given below,
In statistics, when describing a set of data, without listing all the values, we can use measures of location such as mean and median. Let us understand what Median is, Median is the middle value in a list of data arranged from the smallest to greatest. A Box and Whisker Plot is dependent on median.
Data is examined using the Five statistical summary or five number summary
1. Minimum (lower extreme)
2. Maximum (upper extreme)
3. Median (second quartile-50th percentile)
4. First quartile (25th percentile)
5. Third quartile(75th percentile)
You might wonder what quartile is, we know that median of a data separates the given data into two equal parts. Quartiles separate the original set of data into four equal parts (quarter is ¼). Quartiles are the percentiles that divide the data into fourths.
A five statistical summary can be represented in a graphical way using the Box and Whisker Plot. The first and the third quartiles are outside the rectangular box, the median is indicated with a vertical line inside the box, and the lower extreme and upper extreme are at the ends of the whiskers.
Box and Whisker Plot Definition:
So, Definition of Box and Whisker Plot or Box and Whisker Definition is the graphical representation that summarizes data using box and whiskers format to show the minimum and maximum values (ends of the whiskers), inter-quartile range (length of the box), and the median(denoted by the vertical line inside the box)
Using Box and Whisker Plot examples, let us now learn How to Make a Box and Whisker Plot
The following data is the amount of marbles fifteen boys own
98, 17, 34, 52, 61, 59, 78, 54, 85, 91, 27, 68, 96, 93, 76
Step1: Arrange the given data in the ascending order or the numerical order
17, 27, 34, 52, 54, 59, 61, 68, 76, 78, 85, 91, 93, 96, 98
Step2: find the median, the median is the value exactly in the middle of an ordered set
68 is the median (second quartile)
Step3: Now, consider only the values which are left to the median.17, 27, 34, 52, 54, 59,61
We now find the median of this list. 52 is the median, which is the first quartile
Step4:Now, consider only the values which are right to the median. 76,78,85,91,93,96,98.
The median of this list is 91, which is the third quartile.
Step5: Now, we find the extreme. The lowest value in the list 17 is the lower extreme and the greatest
value in the list 98 is the upper extreme.
let us graph the Box and Whisker Plot using the values,
In statistics, when describing a set of data, without listing all the values, we can use measures of location such as mean and median. Let us understand what Median is, Median is the middle value in a list of data arranged from the smallest to greatest. A Box and Whisker Plot is dependent on median.
Data is examined using the Five statistical summary or five number summary
1. Minimum (lower extreme)
2. Maximum (upper extreme)
3. Median (second quartile-50th percentile)
4. First quartile (25th percentile)
5. Third quartile(75th percentile)
You might wonder what quartile is, we know that median of a data separates the given data into two equal parts. Quartiles separate the original set of data into four equal parts (quarter is ¼). Quartiles are the percentiles that divide the data into fourths.
A five statistical summary can be represented in a graphical way using the Box and Whisker Plot. The first and the third quartiles are outside the rectangular box, the median is indicated with a vertical line inside the box, and the lower extreme and upper extreme are at the ends of the whiskers.
Box and Whisker Plot Definition:
So, Definition of Box and Whisker Plot or Box and Whisker Definition is the graphical representation that summarizes data using box and whiskers format to show the minimum and maximum values (ends of the whiskers), inter-quartile range (length of the box), and the median(denoted by the vertical line inside the box)
Using Box and Whisker Plot examples, let us now learn How to Make a Box and Whisker Plot
The following data is the amount of marbles fifteen boys own
98, 17, 34, 52, 61, 59, 78, 54, 85, 91, 27, 68, 96, 93, 76
Step1: Arrange the given data in the ascending order or the numerical order
17, 27, 34, 52, 54, 59, 61, 68, 76, 78, 85, 91, 93, 96, 98
Step2: find the median, the median is the value exactly in the middle of an ordered set
68 is the median (second quartile)
Step3: Now, consider only the values which are left to the median.17, 27, 34, 52, 54, 59,61
We now find the median of this list. 52 is the median, which is the first quartile
Step4:Now, consider only the values which are right to the median. 76,78,85,91,93,96,98.
The median of this list is 91, which is the third quartile.
Step5: Now, we find the extreme. The lowest value in the list 17 is the lower extreme and the greatest
value in the list 98 is the upper extreme.
let us graph the Box and Whisker Plot using the values,
