A day full of math games & activities. Find one near you.

The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason

Solution:

To calculate the median of a grouped data the formula which is used is based on the assumption that the observations in the classes are equally spaced or uniformly distributed

So the statement is not always correct.

Therefore, the statement is not correct.

✦ Try This: If A and B are two independent events, the probability that both A and B occur is 2/8 and the probability that neither of them occurs is 4/8, The probability of the occurrence of A is

Consider P(A) = x and P (B) = y

xy = 2/8

(1 - x) (1 - y) = 4/8

By further simplification

1 - x - y + xy = 4/8

Substituting the value of xy

1 - x - y + 2/8 = 4/8

1 - x - y = 4/8 - 2/8

1 - x - y = 2/8

1 - x - y = 1/4

x + y = 1 - 1/4 = 3/4

So x and y can take values 0.5 and 0.25

Therefore, the probability of occurrence of A is 1/2 and 1/4.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.2 Problem 1

The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason

Summary:

The statement “The median of an ungrouped data and the median calculated when the same data is grouped are always the same” is not correct

☛ Related Questions: