What is a Median?Date: 03/03/98 at 22:58:44 From: SEAN Subject: What is median? What is a median? Date: 03/05/98 at 11:12:55 From: Doctor Johnny Subject: Re: What is median? Sean, I hope that I can help you better understand the definition of median and what it really deals with. By definition, a median is a statistical term identifying a piece of data (number) that divides numerically ordered data into two equal halves. In easier terms, the median is the middle piece of data when those data are placed in numerical order. Let's look at two examples. One example has an odd number of pieces of data, and another has an even number of pieces. 45 46 46 47------> Median because there are 3 pieces above and 3 pieces below 50 57 60 45 46 46 47 50 --------> 53 is the median ***Explanation below*** 56 60 61 62 62 The reason 53 is the median is because the median falls halfway between the numbers 50 and 56. As a rule, the piece of data that represents the median can be found by using the following formula: N+1 (N is the number of pieces of data) ----- 2 because the median divides the set of data into 2 equal pieces. Proof of the examples: 7 pieces of data 7+1 --- = 4th piece of data 2 10 pieces of data 10+1 ---- = 5.5th piece of data 2 (This piece is located halfway between the 5th and 6th piece of data, because 5.5 is halfway between 5 and 6.) I hope that this will help you to better understand median and how it is found. -Doctor Johnny, The Math Forum Check out our web site http://mathforum.org/dr.math/ |
Search the Dr. Math Library: |
[Privacy Policy] [Terms of Use]
Ask Dr. Math^{TM}
© 1994- The Math Forum at NCTM. All rights reserved.
http://mathforum.org/dr.math/