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2.8.1 Construction of a Box Plot

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1 Step 1. Find the quartiles , , and for the given data set.

2 Step 2. Draw a box with its outer lines of the box standing at the first quartile () and the third quartile (), and then draw a line at the second quartile (). The line at divides the box into two boxes, which may or may not be of equal size.

3 Step 3. From the outer lines, draw straight lines extending outwardly up to three times the IQR and mark them as shown in Figure 2.8.1. Note that each distance between the points A and B, B and C, D and E, and E and F is equal to one and a one‐half times distance between the points C and D, or one and one‐half times IQR. The points S and L are, respectively, the smallest and largest data points that fall within the inner fences. The lines from S to C and D to L are called the whiskers.

Statistics and Probability with Applications for Engineers and Scientists Using MINITAB, R and JMP

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