NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1Question 5
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question. 5
The abscissa of the intersection point of the less-than and more-than cumulative frequency curves of a grouped data gives its
(A)
mean
(B)
median
(C)
mode
(D)
all the three above
Detailed Answer with Explanation:
Let us carefully understand step by step:
- Step 1: In statistics, to find the median graphically, we draw two types of cumulative frequency curves:
- Less-than type cumulative frequency curve.
- More-than type cumulative frequency curve.
- Step 2: These two curves usually cut (intersect) each other at one point.
- Step 3: The x-coordinate (abscissa) of this intersection point represents the median of the data.
- Step 4: The median is the middle value of the data when all values are arranged in order. It divides the data into two equal parts.
Therefore: The abscissa of the intersection point gives the median. Correct answer = (B).