The minimum is the smallest number in the list, which is 1. This equals 6 and so, Q1 is found at the sixth number in the list. Q3 is found at position 3(n+1)/ 4, which for n=7 is position 3×(7+1)/ 4.This equals 4 and so, Q1 is found at the fourth number in the list. Q2 is found at position (n+1)/ 2, which for n=7 is position (7+1)/ 2.This equals 2 and so, Q1 is found at the second number in the list. Q1 is found at position (n+1)/ 4, which for n=7 is position (7+1)/ 4.There are 7 numbers in the list, so n = 7. Plot these quartiles along with the minimum and maximum points using lines and connect them to make a box.įor example, construct a box plot from the data in the list 1, 3, 5, 6, 6, 7, 9. These quartiles are found at the (n+1)/ 4, (n+1)/ 2 and 3(n+1)/ 4 positions, where n is the number of data points in an ordered list. To construct a box plot from a list of data, first calculate the first, second and third quartiles. How to Construct a Box Plot from a List of Data These whiskers are connected to the box portion of the box plot. The position of the minimum and maximum are shown with lines, called whiskers. Draw lines to indicate the position of the maximum and minimum and connect these lines to the box We draw lines in line with the values at Q1 and Q3. Draw lines to indicate the position of the lower and upper quartiles Draw lines to indicate the position of the minimum and maximum and connect these lines to the box.įor example, construct a box plot for the following data:.Draw a line inside the box to indicate the position of the median.Draw lines to indicate the position of the lower and upper quartiles.How to Construct a Box Plot To construct a box plot: The larger the interquartile range, the more spread the middle 50% of data is. The larger the range, the more spread the whole data is. Both the range and interquartile range are used to describe the spread of data. The spread of data refers to how spread out the numbers in the data are. The larger the interquartile range, the more spread the middle 50% of the data is. The larger the range, the more spread the data is. The larger median, the larger the average. The median is found at the position of the line inside the box. The lower and upper quartiles are located at the upper and lower edges of the box portion of the plot. The minimum and maximum are located at the ‘whiskers’ of the plot.
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