## 08 June 2012

### MEDIAN

Median
The middle value when all the data are arranged in an increasing or decreasing order.
If the number of values is odd, then the median is the middle value.
If the number of values is even, then the median is the mean of the two middle values.
Jika data-data berbilangan ganjil, maka median adalah nilai yang berkedudukan di tengah.
Jika data-data berbilangan genap, maka median ialah min bagi dua nilai yang berkedudukan di tengah)
Example 1 :
Find the median
10g, 12g, 18g, 10g, 16g

Solution:
Increasing Order (Tertib Menaik)
10, 10, 12 , 16, 18
Median = 12g

Example 2
Find the median
20, 22, 28, 20, 26,24

Solution:
Increasing Order (Tertib Menaik)

20, 20, 22, 24, 26, 28
Median  =  (22+24) ÷ 2
= 46 ÷ 2 = 23

Example 3:
Find the median
 Score 1 2 3 4 5 Frequency 3 4 5 3 6

Solution:
Total frequency (Jumlah kekerapan)
= 3 + 4 + 5 + 3 + 6 = 21
Median = Number of the 11th score = 3

Example 4 :
Find the median
 Marks 80 81 82 83 84 Frequency 4 6 7 0 3

Solution:
Total frequency (Jumlah kekerapan)
= 4+6+7+0+3 = 20
Median= Number of the 10th and 11thmarks

=(81 + 82) ÷ 2 =163 ÷ 2 = 81.5