The correct answer is (b).
An ogive is a cumulative frequency curve. It is a graph that shows the cumulative frequency of a set of data. The cumulative frequency is the sum of the frequencies of all the values less than or equal to a given value.
An ogive for more than type is a graph that shows the cumulative frequency of the values that are greater than or equal to a given value. An ogive for less than type is a graph that shows the cumulative frequency of the values that are less than or equal to a given value.
The ogives for more than type and less than type intersect at the median. This is because the median is the value that divides the data set into two equal parts. The cumulative frequency of the values that are greater than or equal to the median is equal to the cumulative frequency of the values that are less than or equal to the median.
(a) The origin is the point at which the x-axis and the y-axis intersect. The ogives for more than type and less than type do not intersect at the origin.
(c) The mean is the average of the data set. The ogives for more than type and less than type do not intersect at the mean.
(d) The median is the value that divides the data set into two equal parts. The ogives for more than type and less than type intersect at the median.