[mso] Re: Excel MODE Function- Ties?

Here's an approach you might use. I start with this data:

        A       B       C       D
1       1       
2       2                       
3       3                       
4       2                       
5       2                       
6       4                       
7       1                       
8       1                       

In B1 I enter this formula:

        =COUNTIF($A$1:$A$8,A1)

Dragging this down as far as B8, I get this:

        A       B       C       D
1       1       3       
2       2       3               
3       3       1               
4       2       3               
5       2       3               
6       4       1               
7       1       3               
8       1       3       

Clearly, I have a tied mode; both 1 and 2 appear 3 times each.

In C1 I type:

        =MAX(B1:B8)

In D1 I type:

        =COUNTIF(B1:B8,C1)

This results:

        A       B       C       D
1       1       3       3       6
2       2       3               
3       3       1               
4       2       3               
5       2       3               
6       4       1               
7       1       3               
8       1       3       
        
The value in C1 is the maximum frequency of any number in the range
A1:A8. Because both 1 and 2 appear 3 times each, the result is 3.

The value in D1 shows how many entries in A1:A8 appear that many times.
Here the result is 6 because it counts all the 1a and the 2s. If I
change the data slightly so there is a single mode, see what happens:


        A       B       C       D
1       1       2       3       3
2       2       3               
3       3       1               
4       2       3               
5       2       3               
6       4       2               
7       1       2               
8       4       2

Clearly, if C1=D1 there is a simgle mode. Otherwise, there is more than
one.

Ray 

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-----Original Message-----
From: mso-bounce@xxxxxxxxxxxxx [mailto:mso-bounce@xxxxxxxxxxxxx] On
Behalf Of Anthony A. Luscre
Sent: 22 April 2005 17:41
To: mso@xxxxxxxxxxxxx
Subject: [mso] Excel MODE Function- Ties?


I am using the mode function to find the most popular item from a group 
of choices.
The category is listed in column A1:A:30, in column B I have the MODE 
function with range of C1:AK1.
I columns C through AK are the code number for each person's favorite 
item (their vote).
The mode function tells me which code number occurs most frequently (the

winner).
The problem is if there is a tie the MODE function returns the lowest 
number only.
What I need is, at minimum, is a way to tell if there has been a tie or 
ideally not only that there has been a tie but which code numbers were 
tied.
Any ideas?

Thanks
Anthony


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