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Hence median is the 50

Example: - The following data give the weight (in pounds) lost by 15 new members of a health club at the end of their first two months of membership.

5 10 8 7 25 12 5 14

11 10 21 9 8 11 18

Find the median.

Solution: -

Step 1:- Arrange the data.

5 5 7 8 8 9 10 10

11 11 12 14 18 21 25

Step 2:- Find (n+1)/2 Where n= number of values in a data

(n+1) / 2 = (15+1)/ 2

= 16 / 2

= 8

This shows that 8th position is the median value.

Step 3:- Value at the 8

5 5 7 8 8 9 10

11 11 12 14 18 21 25

Median = 10

Example 2:- The following data give the numbers of cars theft that occurred in a city in the past 12 days.

6 3 7 11 4 3 8 7 2 6 9 15

Solution: - Arrange data is

2 3 3 4 6

It is an even data: n= 12 so the median will be the average of two central values.

(n+1) /2 =(12+1)/2 = 6.5

6

Median= (6+7)/2= 6.5