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