NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question 5

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:

  1. 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.
  2. Step 2: These two curves usually cut (intersect) each other at one point.
  3. Step 3: The x-coordinate (abscissa) of this intersection point represents the median of the data.
  4. 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).

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 13: Statistics and Probability – Exercise 13.1 | Detailed Answers