Definition

The median is the middle value of a dataset when arranged in order (ascending/descending). For odd number of observations, there is exactly one middle value.

Median Formula (Odd n)

• n = total number of observations (odd)
• First arrange data in ascending order
• Find position = (n+1)/2, then pick the value at that position

Definition

The even median formula is used when a dataset has an even number of values. Since there is no single middle value, the median is the average of the two middle values.

Median Formula (Even n)

• n = total number of observations (even)
• First arrange data in ascending order
• Find the (n/2)^th and (n/2 + 1)^th terms
• Median = average of these two middle values