Median Math

Median Math Definition: - The Math median is the value of the middle term in a data set that has been ranked in increasing order. It divides a ranked data set into two equal parts. The calculation of the median consists of following steps: Rank the data set in increasing order. Find the middle term. The value of this term is the median. The position of the middle term in a data set with n values is obtained as follows: Position of the middle term= (n+1)/2 Thus we can redefine the median as follows. Value of the median for ungrouped data Median= value of the (n+1)/2 th term in a ranked data set. Note:- If the given data set represents a population, replace n with N. If the number of observations in a data set is odd, then the median is given by the value of the middle term in the ranked data. If the number of observations is even, then the median is given by the average of the values of the two middle terms. Example:- Find the median of 10,5,19,8 and 3 Step 1: Arrange the data in increasing order 3, 5, 8, 10, 19 Step 2: There are five observation, consequently n=5 and Position of the middle term= (n+1)/2 = (5+1)/2 = 6/2 = 3 Therefore, the median is the value of the third term in the ranked data set. 3, 5, 8, 10, 19 So Median = 8