Sarthaks APP
0 votes
13.3k views
in Median by (50.0k points)
closed by
How is the median calculated in discrete series? Explain it with an example.

1 Answer

+1 vote
by (53.1k points)
selected by
 
Best answer

Calculation of median in discrete series : 

Determination of median in discrete series.

1. Cumulative frequencies are determined as the first step. 

2. Now, the median’s serial number is found using the following formula : M = Value of \([\frac{N+1} {2}]\) th item Where N = Σf

Example: Find out the median value of the following discrete series.

Item-Value2468101214
Frequency5712181164

Solution:

Item-ValueFrequencyCumulative Frequency
255
4712
61224
81842
101153
12659
14463

M = Value of \([\frac{N+1}{2}]\) th item

= Value of \([\frac{63+1}{2}]\) th item = value of 32th item

Item 32th is included in the cumulative frequency 42. The value under cumulative frequency 42 is 8.

Hence, Median = 8

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...