Determination of median in individual series- In order to determine the median from individual values, firstly, all the values are arranged in ascending or descending order. Then the median value is determined by using the formula given below : M = Value of \([\frac{N + 1}{2}]\) th item here N = Number of items, M = Median.
Example 1.
Find out the median value of the following data – 50,42,48,52,47,58,60,40,51
Solution: Firstly arranging the series in ascending order-
| Serial No. |
Item-Values |
| 1 |
40 |
| 2 |
42 |
| 3 |
47 |
| 4 |
48 |
| 5 |
50 |
| 6 |
51 |
| 7 |
52 |
| 8 |
58 |
| 9 |
60 |
M = Value of \([\frac {N + 1}{2}]\) th item here N = Number of items, M = Median
Value of \([\frac {9 + 1}{1}]\) th item = Value of 5th item = 50
If the value of item is even, the process will be changed which will clear by the given below example
Example 2.
Given below is the ‘monthly income’ of 10 families. Find the median.
| Monthly Income of Families |
A 2000 |
B 2200 |
C 1800 |
D 1700 |
E 1100 |
F 3100 |
G 1500 |
H 4000 |
I 3600 |
J 800 |
Solution: Firstly arrange the series in ascending order.
| Serial No. |
Monthly Income ( In f) |
| 1 |
800 |
| 2 |
1100 |
| 3 |
1500 |
| 4 |
1700 |
| 5 |
1800 |
| 6 |
2000 |
| 7 |
2200 |
| 8 |
3100 |
| 9 |
3600 |
| 10 |
4000 |
