The following table shows the frequency distribution for the scores of 60 students in an exam:
Find the median of the distribution using the ascending cumulative frequency curve.
First, form an ascending cumulative frequency table.
Then use the table to draw an ascending cumulative frequency curve.
To identify the median, draw a horizontal line on the cumulative frequency curve that passes through the order of the median, or half of the frequency total. For this data, the frequency total is 60, so we will draw the horizontal line to pass through the order of the median 30. The related score along the -axis is the median.
The score that corresponds to a frequency of 30 is 12.8. So, the median of distribution is 12.8.