Median Math

Median Math Definition: - Median is the central value of the arranged data either in ascending or descending order. Hence median is the 50th percentile of a data which divides the whole data in two equal portions. 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 8th position = 10 5 5 7 8 8 9 10 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 6 7 7 8 9 11 15 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 6th and 7th positions are the median value. Median= (6+7)/2= 6.5