High School

What is the median of the following numbers?

8.03, 3.62, 4.02, 2.73, 5.81, 4.72, 4.55, 5.13, 1.72, 3.62, 1.52, 4.01, 4.01, 5.79, 4.16, 3.62, 1.72, 3.62, 8.16

Answer :

The median of the given data set is 4.01.

The median is the middle value in a sorted list of numbers.

  • First, list the numbers in ascending order:
    1.52, 1.72, 1.72, 2.73, 3.62, 3.62, 3.62, 3.62, 4.01, 4.01, 4.02, 4.16, 4.55, 4.72, 5.13, 5.79, 5.81, 8.03, 8.16

  • Since there are 19 numbers (an odd number of values), the median will be the middle number in this sorted list. This is the 10th number when we count from either end.

  • Counting to the 10th position in the ordered list, we find that the median is 4.01.