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Median refers to the middle value among a set or series of values after they have been arranged in numerical order. Thus median means the middle of the set of values.
Case 1: If the number of observations (n) in the set is odd, then the median is the value at the position .
Case 2: If the number of observation (n) in the set is even:
Step 1: Find the value at position
Step 2: Find the value at position
Step 3: Find the average of both the values to get the median.
Example:
Find the median of the following set of points in a game:
\(15, 14, 10, 8, 12, 8, 16\)
Solution:
First arrange the point values in an ascending order (or descending order).
\(8, 8, 10, 12, 14, 15, 16\)
The number of point values is \(7\), an odd number. Hence, the median is the value in the middle position.
The value at the \(4\)th position is \(12\).
Median \(= 12\).
Example:
Find the median of the following set of points:
\(15, 14, 10, 8, 12, 8, 16, 13\)
Solution:
First, arrange the point values in ascending order (or descending order).
8, 8, 10, 12, 13, 14, 15, 16
The number of point values is \(8\), an even number. Hence the median is the average of the middle two values.
The number of point values is \(8\), an even number. Hence the median is the average of the middle two values.
The first, middle value, is at \(4\)th position, which is \(12\).
The second middle value is,
The value at the \(5\)th position is \(13\).
The average of them is .
Therefore \(12.5\) is the median.
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