Median

What is Median?

Median is defined as the middle term of the given data when the data is arranged in, ascending or descending order.

What is the Relation between Mean, Median, and Mode?

Relationship between mean median and mode is:

Mode = 3 Median – 2 Mean

How to Find the Median of Even Number of Data?

Formula for calculating the median when the given ‘n’ is an even number,

Median  = [(n/2)th term + {(n/2) + 1}th term] / 2

How to Find the Median of Odd Number of Data?

Formula for calculating the median when the given ‘n’ is an odd number,

Median = [(n + 1)/2]th term

How to Find the Median of Grouped Data?

Formula for calculating the median of grouped data is,

Median = l + [(n/2 – cf) / f]×h

How to find Median in Statistics?

To find median in statistics, we can use the following steps:

  • Step 1: Arrange the data in ascending order (from smallest to largest).
  • Step 2: If the dataset has an odd number of values, the median is the middle value.
  • Step 3: If the dataset has an even number of values, the median is the average of the two middle values.

What is the median of 7 and 7?

The median of 7 and 7 is 7.

What is the median 8 5 7 9 11 6 10?

8, 5, 7, 9, 11, 6, 10 arranged in ascending order is 5, 6, 7, 8, 9, 10, 11 and thus, the median of given data is, 8.

What is the median of 7 6 4 8 2 5 and 11?

7 6 4 8 2 5 and 11 arranged in ascending order is 2, 4, 5, 6, 7, 8, 11 and thus, the median of given data is, 6.



Median

Median is the middle value of any data when arranged in ascending or descending order. Suppose we have the height of 5 friends as, 171 cm, 174 cm, 167 cm, 169 cm, and 179 cm, then the median height of the friends is calculated as, first arranging the data in ascending order, 167 cm, 169 cm, 171 cm, 174 cm, 179 cm. Now clearly observing the data we see that 171 cm is the middle term in the given data thus, we can say that the median height of the friends is, 171 cm.

In this article, we have covered, median definition, examples of median, median formula and others in detail.

Table of Content

  • Median Definition
  • Median Formula
  • Median of Ungrouped Data
  • Median of Grouped Data
  • How to Find Median?
  • Application of Median Formula

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Median Definition

Median is defined as the middle term of the given set of data if the data is arranged either in ascending or descending order. Suppose we are given the weight of three girls of a class as 49 kg, 62 kg, and 56 kg then the median weight is calculated by first arranging the data in any order, let’s arrange data in ascending order as 49 kg, 56 kg, and 62 kg then by observing we can say that, 56 kg is the middle term in the given data set. So the median of the data set is 56 kg....

Median Formula

As we know median is the middle term of any data, and finding the middle term when the data is linearly arranged is very easy, the method of calculating the median varies when the given number of data is even or odd, for example, if we have 3(odd-numbered) data 1, 2, and 3 then 2 is the middle term as it has one number to its left and one number to its right....

Median of Ungrouped Data

Median formula is calculated by two methods,...

Median of Grouped Data

Grouped data is the data where the class interval frequency and cumulative frequency of the data are given. The median of the grouped data median is calculated using the formula,...

How to Find Median?

To find the median of the data we can use the steps discussed below,...

Application of Median Formula

Median formula has various applications, this can be understood with the following example, in a cricket match the scores of the five batsmen A, B C, D, and E are 29, 78, 11, 98, and 65 then the median run of the five batsmen is,...

Solved Examples on Median

Example 1: Find the median of the given data set 60, 70, 10, 30, and 50...

FAQs on Median

What is Median?...