ESTIMATION OF MEDIAN USING CUMULATIVE CURVE

The median is a measure of central tendency that represents the middle value of a dataset when it is arranged in order. One way to estimate the median of a dataset is by using a cumulative curve.

A cumulative curve, also known as a cumulative frequency curve, is a graph that shows the cumulative frequency of a dataset. The x-axis represents the values of the dataset, and the y-axis represents the cumulative frequency. To create a cumulative curve, you first need to arrange the data in order, and then calculate the cumulative frequency for each value.

To estimate the median using a cumulative curve, you need to find the value where the cumulative frequency is exactly half of the total frequency.

For example, if you have a dataset of 10 values with a total frequency of 20, the median would be the value where the cumulative frequency is 10 (half of 20). By looking at the cumulative curve, you can find the value that corresponds to a cumulative frequency of 10, which is your estimate of the median.

In practice, if you have a large dataset, it may be more practical to use a cumulative frequency table rather than a graph. And if you have a continuous dataset, you can use a cumulative density function (CDF) instead of a cumulative frequency.