50
Step-2:
Case-i
If the number of observations is odd then median is the
th
n
2
1
observation in the arranged order.
Case-ii
If the number of observations is even then the median is the mean of
th
n
2
and
th
n
1
2
observations in the arranged order.
Example:
Find the median of the following data:
12, 2, 16, 8, 14, 10, 6
Step 1:
Organize the data, or arrange the numbers from smallest to largest.
2, 6, 8, 10, 12, 14, 16
Step 2:
Since the number of data values is odd, the median will be found in
the
position.
Step 3:
In this case, the median is the value that is found in the fourth
position of the organized data.
2, 6, 8, 10 , 12, 14, 16
Example:
Find the median of the following data:
7, 9, 3, 4, 11, 1, 8, 6, 1, 4
Step 1:
Organize the data, or arrange the numbers from smallest to largest.
1, 1, 3, 4, 4, 6, 7, 8, 9, 11
Step 2:
Since the number of data values is even, the median will be the mean
value of the numbers found before and after the
position.
Step 3:
The number found before the 5.5 position is 4 and the number found
after the 5.5 position is 6. Now, you need to find the mean value.
1, 1, 3, 4, 4, 6, 7, 8, 9, 11
Calculation of median-Discrete series:
Step-i:
Arrange the data in ascending or descending order of magnitude.
Step-ii:
find out the cumulative frequency (c.f)
Step-iii:
Apply the formula: Median = size of
2
1
N