HOW TO DRAW A BOX AND WHISKER PLOT HOW TO

Same on both the ends then the data is Normally Distributed.Д«) If the Median lies closer to the First Quartile and if the whisker at the lower end is shorter (as in the above example) then it has a Positive Skew (Right Skew).Д¬) If the Median lies closer to the Third Quartile and if the whisker at the upper end is shorter then it has a Negative Skew (Left Skew). Box Plots shows Skewness of the data- a) If the Median is at the center of the Box and the whiskers are almost the.The Median gives you the average value of the data.Box plots provide a visual summary of the data with which we can quickly identify the average value of the data, how dispersed the data is, whether the data is skewed or not (skewness).We can see from the diagram that the Median is not exactly at the centre of the box and one whisker is longer than the other. Now we have all the information, so we can draw the box plot which is as below.

The outliers which are outside this range are вЂ“ Outliers = 220 So the minimum and maximum between the range for our given data are вЂ“ Minimum = 100 Maximum = 170

We can now calculate the Upper and Lower Limits to find the minimum and maximum values and also the outliers if any. Now, we need to calculate the Inter Quartile Range. Here since there were two central values we included them. Note: If the total number of values is odd then we exclude the Median while calculating Q1 and Q3. Q1 = (110+110)/2 = 110ДЇor the Third Quartile, we take the next six and find their median. To find the First Quartile we take the first six values and find their median. Median (Q2) = (120+130)/2 = 125 Since there were even values To draw a box plot for the given data first we need to arrange the data in ascending order and then find the minimum, first quartile, median, third quartile and the maximum.

HOW TO DRAW A BOX AND WHISKER PLOT HOW TO

Let us take a sample data to understand how to create a box plot. The values below and above these limits are considered outliers and the minimum and maximum values are calculated from the points which lie under the lower and upper limit. The lower and upper limit is calculated as вЂ“ Lower Limit = Q1 - 1.5*IQR Outliers are the data points below and above the lower and upper limit. The area inside the box (50% of the data) is known as the Inter Quartile Range. The plots can have skewness and the median might not be at the center of the box. Note: The box plot shown in the above diagram is a perfect plot with no skewness. Maximum вЂ“ It is the maximum value in the dataset excluding the outliers.Third Quartile (Q3) вЂ“ 75% of the data lies below the Third (Upper) Quartile.Half of the values lie below it and half above. Median (Q2) вЂ“ It is the mid-point of the dataset.First Quartile (Q1) вЂ“ 25% of the data lies below the First (lower) Quartile.

Minimum вЂ“ It is the minimum value in the dataset excluding the outliers.

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How to draw a box and whisker plot