Page 2 - Lesson Note MCT 2 52

5+1
Me = size of [ ]th item
2

= size of 3rd item.

Median = 50.

Ex: Height of eight students are 156c.m, 152c.m, 162c.m, 166c.m, 163c.m,
172c.m, 145c.m, and 168c.m. Calculate median.

Step 1: Heights arranged in ascending order 145c.m, 152c.m, 156c.m,
162c.m, 163c.m, 166c.m, 168c.m, and 172c.m

+1
Step 2: Me = size of [ ]th item.
2
8+1
Me = size of [ ]th item
2

th
= size of 4.5 item.
4 ℎ +5 ℎ
Median =
2
162+163
= = 162.5 .
2
Steps to calculate Median in case of Discrete series: -

 In discrete series arrange the data either in ascending or descending
order with respect to their respective frequency.
 Obtain the cumulative frequency column.
+1
 Median is the size of ℎ ℎ .
2
 Median can be found out by first locating the cumulative frequency
+1
which is equal to th or next higher to it and then determining the
2
value corresponding to it.

Ex: Calculate the median from the following data: -

Size(X) Frequency(F)
3 2
4 1

5 3
6 7
7 4