XL: How to Rank Duplicate Values Sequentially

Last reviewed: February 2, 1998
Article ID: Q152567
The information in this article applies to:
  • Microsoft Excel 98 Macintosh Edition
  • Microsoft Excel 97 for Windows
  • Microsoft Excel for Windows 95, versions 7.0, 7.0a
  • Microsoft Excel for Windows, versions 5.0, 5.0c
  • Microsoft Excel for the Macintosh, versions 5.0, 5.0a

SUMMARY

If a row or column of cells contains duplicate values, the RANK function assigns the same rank value to every occurrence of the duplicate value.

This article describes a formula that you can use to assign a unique rank for all numbers in a range, even if the range includes duplicate values.

MORE INFORMATION

To assign a unique rank for all numbers in a range, use the following formula:

   =SUM(1*Cell>=Range))-(SUM(1*(Cell=Range))-1)/2

where "cell" is the relative address of the cell containing one of the values to be ranked, and "range" is the absolute address of the range containing all of the values. This formula assigns a unique rank to every value in a range, in ascending order.

By modifying this formula, you can rank values which are listed in ascending or descending order in a column or row.

Values in a Column, Ascending Order

  1. Type the following data in a worksheet:

          A1: 100     B1:
          A2:  75     B2:
          A3: 100     B3:
          A4:  75     B4:
          A5:  50     B5:
    
    

  2. In cell B1, type the following formula:

          =SUM(1*(A1>$A$1:$A$5))+1+IF(ROW(A1)-ROW($A$1)=0,0,
           SUM(1*(A1=OFFSET($A$1,0,0,INDEX(ROW(A1)-ROW($A$1)+1,1)-1,1))))
    

    NOTE: The formula must be entered as an array formula. To enter a formula as an array formula in Microsoft Excel for Windows, press CTRL+SHIFT+ENTER. In Microsoft Excel for the Macintosh, press COMMAND+ENTER.

  3. With cell B1 selected, grab the fill handle and fill the formula down through cell B5.

The ranked values appear as follows:

   A1: 100     B1: 4
   A2:  75     B2: 2
   A3: 100     B3: 5
   A4:  75     B4: 3
   A5:  50     B5: 1

Values in a Column, Descending Order

  1. Type the following data in a worksheet:

          A1: 100     B1:
          A2:  75     B2:
          A3: 100     B3:
          A4:  75     B4:
          A5:  50     B5:
    
    

  2. In cell B1, type the following formula:

          =SUM(1*(A1<$A$1:$A$5))+1+IF(ROW(A1)-ROW($A$1)=0,0,
           SUM(1*(A1=OFFSET($A$1,0,0,INDEX(ROW(A1)-ROW($A$1)+1,1)-1,1))))
    

    NOTE: The formula must be entered as an array formula. To enter a formula as an array formula in Microsoft Excel for Windows, press CTRL+SHIFT+ENTER. In Microsoft Excel for the Macintosh, press COMMAND+ENTER.

  3. With cell B1 selected, grab the fill handle and fill the formula down through cell B5.

The ranked values appear as follows:

   A1: 100     B1: 1
   A2:  75     B2: 3
   A3: 100     B3: 2
   A4:  75     B4: 4
   A5:  50     B5: 5


Values in a Row, Ascending Order

  1. Type the following data in a worksheet:

          A1: 100  B1: 75  C1: 100  D1: 75  E1: 50
    
          A2:      B2:     C2:      D2:     E2:
    
    

  2. In cell A2, type the following formula:

          =SUM(1*(A1<$A$1:$E$1))+1+IF(COLUMN(A1)-COLUMN($A$1)=0,0,
           SUM(1*(A1=OFFSET($A$1,0,0,INDEX(COLUMN(A1)-COLUMN($A$1)+1,1)-1))))
    

    NOTE: The above formula must be entered as an array formula. To enter a formula as an array formula in Microsoft Excel for Windows, press CTRL+SHIFT+ENTER. In Microsoft Excel for the Macintosh, press COMMAND+ENTER.

  3. With cell A2 selected, grab the fill handle and fill the formula right through cell E2.

The ranked values appear as follows:

   A1: 100  B1: 75  C1: 100  D1: 75  E1: 50
   A2: 4    B2: 2   C2: 5    D2: 3   E2: 1

Values in a Row, Descending Order

  1. Type the following data in a worksheet:

          A1: 100  B1: 75  C1: 100  D1: 75  E1: 50
    
          A2:      B2:     C2:      D2:     E2:
    
    

  2. In cell A2, type the following formula:

          =SUM(1*A1<A1:E1))+1+IF(COLUMN(A1)-COLUMN(A1)=0,0,
           SUM(1*(A1=OFFSET(A1,0,0,1,INDEX(COLUMN(A1)-COLUMN(A1)+1,1)-1))))
    

    NOTE: The above formula must be entered as an array formula. To enter a formula as an array formula in Microsoft Excel for Windows, press CTRL+SHIFT+ENTER. In Microsoft Excel for the Macintosh, press COMMAND+ENTER.

  3. With cell A2 selected, grab the fill handle and fill the formula right through cell E2.

The ranked values appear as follows:

   A1: 100  B1: 75  C1: 100  D1: 75  E1: 50
   A2: 1    B2: 3   C2: 2    D2: 4   E2: 5


Additional query words: 5.00 5.00a 5.00c 7.00 97 8.00 XL97 XL98
Keywords : xlformula xllist
Version : WINDOWS:5.0,5.0c,7.0,7.0a,97; MACINTOSH:5.0,98
Platform : MACINTOSH WINDOWS
Issue type : kbhowto


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Last reviewed: February 2, 1998
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