Notice: This website is an unofficial Microsoft Knowledge Base (hereinafter KB) archive and is intended to provide a reliable access to deleted content from Microsoft KB. All KB articles are owned by Microsoft Corporation. Read full disclaimer for more details.

Problems vith Statistical Functions and Large Numbers in Excel


View products that this article applies to.

Symptoms

In Microsoft Excel, when you use any of the following statistical functions in a formula:
STDEV
STDEVP
LINEST
LOGEST
KURT
NEGBINOMDIST
BINOMDIST
The formula may return an incorrect result.

↑ Back to the top


Cause

This behavior may occur when the formula refers to very large numbers that, when summed, multiplied, or squared, exceed 15 digits in length.

↑ Back to the top


More information

Microsoft Excel supports a maximum of 15 significant digits at all times. This limit applies to a value that is calculated by a formula. Because of this limitation, if at any time a formula calculates a value that exceeds 15 digits in length, digits beyond the fifteenth significant digit are changed to zeroes. This may cause the formula to return an incorrect result.

For example, when you use the STDEV function to calculate the standard deviation of a set of numbers, part of the function sums the numbers and then squares the result. If this number exceeds 15 digits in length, digits beyond the fifteenth digit are changed to zeroes. This affects the final result delivered by the formula. To see an example of this behavior, enter the following data in a worksheet:
   A1: 999999          B1: 99999999
   A2: 1000000         B2: 100000000
   A3: 1000001         B3: 100000001
   A4: =STDEV(A1:A3)   B4: =STDEV(B1:B3)
				
Although both formulas return the same standard deviation, 1, the second formula returns a zero. Because the square of the sum of the three values in B1:B3 is greater than 15 digits in length, digits beyond the fifteenth digit are changed to zeroes. This causes the formula to return an incorrect result.

This behavior may occur when you use any of the statistical functions listed in this article and you work with very large values. This is true because these functions all use squared values, which makes it probable that the limit of 15 significant digits is exceeded.

The exact formulas used by functions in Microsoft Excel are listed in the Help topic for each function in Microsoft Excel Help.

↑ Back to the top


References

For additional information about the number of significant digits that Excel retains, click the following article number to view the article in the Microsoft Knowledge Base:
65903 Number of significant digits MS Excel retains

↑ Back to the top


Keywords: KB158071

↑ Back to the top

Article Info
Article ID : 158071
Revision : 7
Created on : 6/12/2007
Published on : 6/12/2007
Exists online : False
Views : 669