Mode, Median, and Mean
Date: 08/23/97 at 09:49:48 From: Jennifer Subject: Mode, median, and mean Find a set of five data values with modes 0 and 2, median 2, and mean 2. Explain how you found your answer. I just don't understand how I'm supposed to do it! I'm really confused. Please help.
Date: 08/29/97 at 09:38:25 From: Doctor Rob Subject: Re: Mode, median, and mean Mode = values appearing most often, Median = value with as many other values above as below, Mean = average (sum of the values divided by the number of values). There are five values. If all were different, there would be five modes, but there are only two. The two modes must appear at least twice. They cannot appear three times each, because then you would have at least six values, not five. Thus four of the values must be 0, 0, 2, and 2. For 2 to be the median, the remaining value, call it x, must be greater than 2. If 0 < x < 2, then x would be the median, and if x < 0, 0 would be the median. Then the mean is (0+0+2+2+x)/5 = 2, which you can solve for x. -Doctor Rob, The Math Forum Check out our web site! http://mathforum.org/dr.math/
Search the Dr. Math Library:
Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.