Find the Mode of a ListDate: 02/26/2001 at 17:50:34 From: Gon Subject: Equation for mode I am in desperate straits over this problem. I tried to find the answer myself but got lost in advanced statistics (kurtosis, variance, etc.). I'm not sure if there even is a solution. The problem: Using only the following information about a list of numbers... - the size of the list (number of numbers) - the sum of the numbers - the standard deviation - the average ...find the mode of the list. Date: 02/27/2001 at 11:39:55 From: Doctor Twe Subject: Re: Equation for mode (please!) Hi - thanks for writing to Dr. Math. Because the mode is the most frequently occurring value in a data set, you can't determine the mode based on other statistical measures; you have to look at the original data. As a counterexample, here are two data sets with the same sum, standard deviation, mean (average), and number of numbers, yet they have different modes: Set 1 Set 2 ----- ----- 1 1 2 1 2 2 2 3 3 4 4 4 5 4 5 5 Sum: 24 24 St.Dev: 1.414 1.414 Mean: 3 3 Count: 8 8 Mode: 2 4 I hope this helps. If you have any more questions, write back. - Doctor TWE, The Math Forum http://mathforum.org/dr.math/ |
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