How do you find the median if the number of observations in a data set is odd?

The median is defined as the middle term in a set of observations arranged in ascending order.

Answer: [(n+1)/2]^th term is the median if the number of observations in a data set is odd.

We will use the median formula to find the answer.

Explanation: 

We know that formula for the median if the number of observations in a data set is odd is,

Median= [(n + 1) / 2]^th where, n = number of odd observations.

Let's take an example for finding the median of odd observations:

We are given a set of observations as: 2, 5, 6, 7, 8, 10, 13, 15, 19 (in ascending order)

Since the number of observations is odd, that is, n = 9, thus we can find the median by the formula

Median = [( n + 1) / 2] ^th term

Median = [(9 + 1) / 2]^th term

Median = (10/2)^th term

Median = 5^th term

Hence, the median for a given set of observations is the 5^th term which is 8.

We can also calculate the median for different sets of observations by using a median calculator.

Thus, [(n + 1) / 2]^th term is the median if the number of observations in a data set is odd.