Q. Ogive curves for ‘more than’ type and less than’ type distribution intersect at:
(A) median
(B) mean
(C) origin
(D) mode
Question from UPPSC Prelims CSAT 2024
Correct Answer: (A) median
Explanation:
Ogive curves are graphical representations of cumulative frequency distributions. There are two types of ogive curves:
1. ‘Less than’ ogive: This is plotted using the cumulative frequencies for the “less than” values of the data.
2. ‘More than’ ogive: This is plotted using the cumulative frequencies for the “more than” values of the data.
When these two curves are plotted on the same graph, they intersect at a point that corresponds to the median of the data.
The median is the value that divides the dataset into two equal halves, where 50% of the data lies below it and 50% lies above it. At the intersection point of the ‘less than’ and ‘more than’ ogives, this condition is satisfied, making it the median.
Thus, the correct answer is (A) median.