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,
First arrange the run in ascending order as, 11, 29, 65, 78, and 98. Now by observing we can clearly see that the middle term is 65. thus the median run score is 65.
Median of Two Numbers
For two numbers finding the middle term is a bit tricky as for two numbers there is no middle term, so we find the median as we find the mean by adding them and then dividing it by two. Thus, we can say that the median of the two numbers is the same as the mean of the two numbers. Thus, the median of the two numbers a and b is,
Median = (a + b)/2
Now let’s understand this using an example, find the median of the following 23 and 27
Solution:
Median = (23 + 27)/2
Median = 50/2
Median = 25
Thus, median of 23 and 27 is 25.
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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