Median Formula
The formula for the median is:
If the number of values (n value) in the data set is odd then the formula to calculate the median is:
Median = [(n + 1)/2]th term
If the number of values (n value) in the data set is even then the formula to calculate the median is:
Median = [(n/2)th term + {(n/2) + 1}th term] / 2
Example: Find the median of given data set 30, 40, 10, 20, and 50.
Solution:
Median of the data 30, 40, 10, 20, 50 is,
Step 1: Order the given data in ascending order as:
10, 20, 30, 40, 50
Step 2: Check n (number of terms of data set) is even or odd and find the median of the data with respective ‘n’ value.
Step 3: Here, n = 5 (odd)
Median = [(n + 1)/2]th term
Median = [(5 + 1)/2]th term
= 30
Median of Grouped Data
The median of the grouped data median is calculated using the formula,
Median = l + [(n/2 – cf) / f]×h
where
- l is lower limit of median class
- n is number of observations
- f is frequency of median class
- h is class size
- cf is cumulative frequency of class preceding the median class.
Read More about Median of Grouped Data.
Mean, Median and Mode
Mean, Median, and Mode are measures of the central tendency. These values are used to define the various parameters of the given data set. The measure of central tendency (Mean, Median, and Mode) gives useful insights about the data studied, these are used to study any type of data such as the average salary of employees in an organization, the median age of any class, the number of people who plays cricket in a sports club, etc.
Let’s learn more about the Mean, Median, and Mode Formulas, Examples, and FAQs in this article.
Table of Content
- Measures of Central Tendency
- What are Mean, Median, and Mode?
- What is Mean?
- What is Median?
- What is Mode?
- Symbol of Mode
- Relation between Mean Median Mode
- What is Range?
- Differences between Mean, Median and Mode
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