UPPSC 2024

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.

Check Demo Video

UPSC Factory

Master UPSC offline! 📚🎯 4000+ Prelims PYQs, Mains model answers, NCERT books, Syllabus tracker, topper notes, past papers.
Give it a try, you will love it !!💯

UPSC Factory for Android
Conquer UPSC offline! 🚀 PYQs (Prelims & Mains), Test Series, Syllabus Tracker.
Give it a try, you will love it 💯