The correct answer is (b), median.
Ogives are graphical representations of cumulative frequency distributions. They are constructed by plotting the cumulative frequencies of a data set against the corresponding values of the variable. The ogive for the less than type is constructed by plotting the cumulative frequencies of the data set from the lowest value to the highest value. The ogive for the more than type is constructed by plotting the cumulative frequencies of the data set from the highest value to the lowest value.
The median is the value that divides a data set into two equal parts. It is the value that occurs at the 50th percentile. The ogives for the less than and more than types intersect at the median. This is because the cumulative frequencies of the data set are equal at the median.
The mean is the average of the values in a data set. It is calculated by adding up the values in the data set and dividing by the number of values. The mean is not necessarily equal to the median.
The mode is the value that occurs most frequently in a data set. It is the value that has the highest frequency. The mode is not necessarily equal to the mean or the median.
The origin is the point at which the x-axis and the y-axis intersect. The ogives do not intersect at the origin.