Graphic Location of Median

Median and other partition values can be located from the graph of the cumulative frequency polygon (Ogive Polygon). Suppose we have a graph of the cumulative frequency polygon as shown in the figure below.


graphic-location-median

For median, we calculate n/2. On Y-axis, we mark the height equal to n/2 and from this point we draw a straight line parallel to X-axis which intersects the polygon at the point m. from the point m, we draw a perpendicular which touches the X-axis at M. This point on X-axis is the median. Similarly, for the lower quartile we take height equal to n/4 on the Y-axis. From this we draw a line parallel to X-axis which the polygon at the point q. From this point we draw perpendicular on X-axis which touches it at the point Q1 which is the first quartile. For upper quartile take the height on Y-axis equal to3n/4.

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