www.VirtualNerd.com

How Do You Find the Median of a Data Set?

Find the median of the following data set: 46.4, 29.3, 48.2, 35.1, 46.4, 39.5, 41.3, 25.2.

Summary

  1. The median is the middle number when the data is put in numerical order
  2. To find the median, put the numbers in order from least to greatest
  3. Check or mark off each number to be sure it isn't missed or counted twice
  4. Since there are an even number of data points, that means there are 2 middle numbers
  5. When you have an even number of data points, the median is the average of the two middle numbers
  6. To find the average, just add the two points and divide by 2

Notes

    1. To find the median, put the numbers in order from least to greatest
    2. The number that falls exactly in the middle will be the median!
    1. To find the median, let's put the numbers in order from least to greatest
    2. Mark each number to be sure it isn't missed or counted twice
    1. Putting the numbers in order makes it really easy to pick out the median!
    2. Mark each number to be sure it isn't missed or counted twice
    1. 46.4 occurs twice, so we need to write it twice in our list
    1. The median is the middle number in the data set
    1. Since we can only have one median, we need to find the number that comes right in between 39.5 and 41.3
    2. The number right in between two numbers is the average of those two numbers
    1. Since there are 2 middle numbers, their average is the median of the data set
    1. When there are an even number of data points, the average of the 2 middle numbers is the median
    2. So here the median is the average of 39.5 and 41.3:
    3. 39.5 + 41.3 = 80.8
    4. 80.8 ÷ 2 = 40.4
    1. The average of the 2 middle numbers is 40.4, so that's our median!