In grouped data, what is the median?

The median in grouped data is the value that separates the higher half from the lower half of the data set. It is the middle value when the data is arranged in ascending or descending order. Here are the steps to find the median in grouped data:

1. Arrange the data in ascending order.
2. Determine the total number of data points (n).
3. Calculate the position of the median using the formula: (n+1)/2.
4. If the position is a whole number, the median is the average of the values at this position and the next highest position.
5. If the position is a fraction, round up to the nearest whole number. The median is the value at this position.

For example, if we have the data set {1, 2, 3, 4, 5}, the median is 3 because it is the middle value. If we have the data set {1, 2, 3, 4, 5, 6}, the median is the average of 3 and 4, which is 3.5.