Built-in Statistical Functions

Excel provides a variety of statistical functions, which we list below. Since these have been covered in the rest of the website, we won’t go into any detail here.

Basic statistical functions

Basic statistics functions ExcelFigure 1 – Table of basic Excel statistics functions

Click below for more information about each of these functions:

AVERAGE, MEDIAN, MODE, GEOMEAN, HARMEAN, AVEDEV, DEVSQ, STDEV, STDEVP, VAR, VARPKURT, SKEWLARGE, MAX, MIN, PERCENTRANK, PERCENTILE, QUARTILE, RANK, SMALLAVERAGEIF, AVERAGEIFS, COUNTSTANDARDIZE, TRIMMEAN

Correlation and covariance functions

Correlation covariance functions ExcelFigure 2 – Table of Excel correlation and covariance functions

Click below for more information about each of these functions:

CORREL, COVAR, PEARSON, RSQ, FISHER, FISHERINV

Regression functions

Regression functions Excel

Figure 3 – Table of Excel regression functions

Click below for more information about each of these functions:

FORECAST, INTERCEPT, SLOPE, TREND, LINEST, STEYX, GROWTH, LOGEST

Other statistical functions

Picture33Figure 4 – Table of other Excel statistical functions

Click below for more information about each of these functions:

CONFIDENCE, FREQUENCY, PROB

Statistical distribution functions

The following table provides a list of the distributions supported by Excel. For each, the name of cumulative distribution functions (CDF) is given, and where available the name of the inverse function is also provided. For a few of the distributions, the CDF function also has an option to provide the probability density function (PDF). Finally, additional test functions are listed where available.

Distribution functions Excel 2007

Figure 5 – Table of Excel 2007 distribution functions

Excel 2010 functions

All the functions defined in previous versions of Excel are available in Excel 2010, but the mathematical accuracy of many of these functions has been improved in Excel 2010. In addition a few new functions have been added and more consistent naming conventions have been introduced, including the following:

Excel 210 functionsFigure 6 – Table of new Excel 2010 statistical functions

For example, if R = {4,6,4,7,6,6}, then RANK(4,R) = 5, RANK(6,R) = 2 and RANK(7,R) = 1, while RANK.AVG(4,R) = 5.5, RANK.AVG(6,R) = 3 and RANK.AVG(7,R) = 1. Also RANK.EQ is the same as RANK. Similarly, RANK(4,R,1) = 1, RANK(6,R,1) = 3 and RANK(7,R,1) = 6, while RANK.AVG(4,R,1) = 1.5, RANK.AVG(6,R,1) = 4 and RANK.AVG(7,R,1) = 6.

MODE.MULT is an array function which is useful with multimodal data. Before using the function you need to highlight a vertical range (i.e. column vector) with at least as many cells as modes and then enter =MODE.MULT(R) and Ctrl-Shft-Enter. If you highlight more cells than modes the extra cells will contain the error values #N/A.

The function GAMMALN.PRECISE, which is equivalent to GAMMALN, has also been added in Excel 2010,

In Excel 2010 there are the following alternative names for the distribution functions:

Distribution functions Excel 2010Figure 7 – Table of Excel 2010 distribution functions

The functions that end in .DIST all provide both the probability distribution function (when the cum parameter is FALSE) as well as the left-tailed cumulative distribution function (when the cum parameter is TRUE). These are all left-tailed functions. For the chi-square and F distributions there is also a right tailed version (indicated by .RT in the above table) of the distribution and inverse cumulative functions. There is also a right tailed version of the  distribution function and a two-tailed version of the t distribution and its inverse.

The syntax for the various new  distribution functions is T.DIST(x,df,cum), T.DIST.RT(x,df) and T.DIST.2T(x,df). The syntax for the new inverse function is T.INV(p,df) and T.INV.2T(p,df). We have the following equivalences between the Excel 2007 and Excel 2010 versions of the t distribution functions:

t distribution functions 2010Figure 8 – Table of equivalences for the t distribution

Note that while the old t distribution functions worked differently from the normal and binomial distribution functions, the new functions are all consistent. Also we can now explicitly calculate the pdf of the t distribution as T.DIST(x, df, FALSE) instead of having to use a complicated formula based on Definition 1 of t Distribution.

We also have the following equivalences between the Excel 2007 and Excel 2010 versions of the chi-square distribution functions:

Chi-square Excel 2010Figure 9 – Table of equivalences for the chi-square distribution

Also we can now explicitly calculate the pdf of the chi-square distribution as CHISQ.DIST(x, df, FALSE). The equivalences for the F distribution between Excel 2007 and 2010 are similar.

F distribution equivalents

Figure 10 – Table of equivalences for the F distribution

Excel 2013 functions

All the functions defined in previous versions of Excel are available in Excel 2013, but the following additional functions are available:

Excel 2013 functionsFigure 11 – Table of new Excel 2013 statistical functions

7 Responses to Built-in Statistical Functions

    • Charles says:

      Khushboo,
      It seems that you don’t like this webpage or perhaps the website. What don’t you like?
      Charles

  1. Joe Horwath says:

    Am trying to down load your “Service Pack” to my iPad via Drop Box /I do have your file name identifier RealStats.xlam show up on Drop Box / I also also have the “add-ons” icon in Excel on my I pad – but their not talking to each other …. Can you please give the complete bag of IT tricks so i might use your App on iPad // sure hope it turns out the two are compatible – lest you didnt say – that their Not ! Your App looks like a very comprehensive Stat package, am eager to use on iPad. ( could be a wide market ) Thx. Charles

  2. Joe Horwath says:

    Great summary , thanks ; found your Eamples Workbook , thank you

  3. Joe Horwath says:

    Great summary , thanks ; now of coures an example for the use of each would be invaluable for understanding and the mechanics of their use and utility . Again thanks , Charles

  4. Subin says:

    Thank u somuch…

  5. Ernest Bledsoe says:

    Thank You.

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