Dummy Data – How to use the Random Functions

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Dummy Data – How to use the Random Functions

Using collected or known data is the best when developing Excel models, but from time to time this may not be available when you are developing your model.

This post will look at some options for setting up Dummy Data using Excels Random functions.

 

Variability

Real data displays a range of variability, but this variability is generally within ranges or distributions of ranges of results.

All fields type can contain variability

ie: Country, State Names and Zip/Postal Codes, Maybe large lists but are fixed

Peoples Names, Maybe a large lists but are fixed by local rules

Ages, generally less than 80, never less than 0

Dates: Rarely before 1990 or 1900 in rare cases

Lists: are fixed

Numbers: generally random or conforming to a fixed distribution or known trend

Numbers: may include integers, decimals, negatives, extremely large numbers or all combinations

In generating random lists you will need to choose if you want random data, random data within constraints or random with a distribution. The choice is really yours and should in part be based on what the data is being used for and how accurately it needs to reflect reality.

 

Techniques

The techniques described below are all shown with a worked example in the attached Examples File or the Excel 2003 Example

 

Each example is annotated below like (Example 4.). ie: Refer to Example 4 in the above example files.

Dates

Setting up Random Dates is a simple process using the Date function.

=Randbetween(StartDate,EndDate)

 

Dates in a Range of Years

=Randbetween(Date(2000,1,1),Date(2011,12,31))

Will give a list of Random dates between 1 Jan 2000 and 31 Dec 2011 (Example 1.)

(Thanx Mike W)

Dates in a Month

=Date(2010, 6, Randbetween(1,30)

Will give a list of Random dates between 1 June 2010 and 30 June 2010 (Example 2.)

 

Don’t worry that the above formula (Example 1) can actually produce a 31 Feb 2005, the Date function will happily convert that to 3 March 2005 (Example 3.)

 

Dates within a Date Distribution

=DATE(2011,7,NORMINV(RAND(), 0,60))

Will give a list of Random dates between approximately 1 Jan 2010 and 31 Dec 2010, with a mean of July 1 and standard deviation of 2 Months (60days) (Example 4.)

Where NORMINV(RAND(), 0,60) will return values between -180 and +180, 99.7% of the time

 

Text Fields

Dependant on how many items in the list you require there are 3 techniques available

Choose

For small lists of less than 6 to 10 items you can use a simple Choose function (Example 5.)

=Choose(Randbetween(1,6),”Item 1″, “Item 2”, “Item 3”, “Item 4”, “Item 5”, “Item 6”)

VLookup

Using VLookup (Example 6.)

=Vlookup(Randbetween(1,List Length), List, 2)

Index

Using Index (Example 7.)

=Index(List, Randbetween(1, Counta(List) ))

Numbers

Small Random List of Numbers

Random from a small list of numbers (Example 8.)

=Choose(Randbetween(1,6), Numb 1, Numb 2, Numb 3, Numb 4, Numb 5, Numb 6 )

Note that the numbers:

  • Don’t have to be in any order,
  • Can be integers, negatives or contain decimals
  • Can be repeated

eg: =Choose(Randbetween(1,6), 18, 21, -19, 36.4, 18, 24)

 

Random Integers

Return Integers between Start and Finish (Example 9.)

=Randbetween(Start, Finish)

=Randbetween(50, 100)

Will return an Integer between 50 and 100

Random Numbers

=Rand()

Will return a random number between 0 and 1

=Round(Rand()*100, 2)

Will Return Numbers between 0 and 100 with 2 Decimal places (Example 10.)

Random Numbers Based on a Distribution

=Norminv(Rand(), Mean, SD)

Will return a random number between 0 and 1 based on a distribution of Average = Mean and Standard Deviation = SD

=Norminv(Rand(), 50, 17)

Will return a random number between 0 and 100 based on a distribution of Average = 50 and Standard Deviation = 17, (Example 11.)

Random Numbers Fitting a Trend

If your distribution has to match a trend add a Random component to the Trends equation (Example 12.)

Y=mX+c

= rand() * X + rand()*5

= rand() * A2 + rand()*5

 

True/False

Choose

Use Choose and Randbetween (Example 13.)

=Choose(Randbetween(1,2), True, False)

If

Use If and Rand (Example 14.)

=If(Rand()<0.5, True, False)

 

Combination Text and Numbers

The above techniques can be combined to make lists of Alpha Numeric Data

Say your business has a fleet of vehicles (TR=Truck, VN=Van, CAR=Car)

=Choose(Randbetween(1,3),”TR”,”VN”,”CAR”) & Text(Randbetween(1,15),”0#”)

Will randomly choose 1 of “TR”,”VN”,”CAR” and add a random number between 1 and 15 to it format with a leading 0, eg: TR05, (Example 15.)

 

Other Sources of Data

Random Data

There are a number of web sites where Random Data is available.

http://www.fakenamegenerator.com/order.php

http://www.generatedata.com/#generator

http://www.melissadata.com/lookups/

Open Source Data

There are a number of web sites where Open Source Data is available.

http://en.wikipedia.org/

http://www.google.com/

http://www.readwriteweb.com/archives/where_to_find_open_data_on_the.php

 

Function Used:

Rand: Returns a random number between 0 and 1.

Randbetween: Returns a random Integer between lower and upper limits. Pre Excel 2007 Randbetween was only available through installation of the Analysis Toolpak (Thanx Luke).

Norminv: Returns the inverse of the normal cumulative distribution. That is it returns the X value from a Normal Distribution that has a know Mean and Standard Deviation where the a known cumulative percentage is supplied.

Choose: Choose an item from a list of up to 254 items.

Vlookup: Lookup the matching value from a list and return a data item from another column from the same location.

Index: Retrieve an items from a defined location within a range.

Text: Displays a number as Text with a defined format.

 

Other Uses of Random Functions

Of course the techniques shown here don’t have to be used for setting up Dummy Data.

One area where Random numbers is used is in Monte Carlo Simulation. This has been discussed at Chandoo.org at Data Tables and Monte-Carlo Simulations in Excel a Comprehensive Guide

 

Techniques

The techniques described above are all shown with a worked example in the attached Examples File or the Examples File 2003 ver

 

Limitations in Pre Excel 2007 versions

The Excel function, Randbetween, was only introduced in Excel 2007. As such the exaples above will only work in 2007/10.

However a simple alternative is available

Randbetween(Low, High) = Low + Int(Rand()*(High-Low))+1

Randbetween(90, 100) = 90 + Int(Rand()*10)+1

Examples using this approach are shown in the 2003 Version of the Examples files above.

 

How have you made Dummy Data or used the Random Functions?

How have you made Dummy Data or How have you used it ?

How have you used Random Numbers in your workbooks ?

Let us know in the comments below:

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24 Responses

  1. I’d suggest simply using the subtotal function and filtering the data using the Win/Loss column.  You get the same results and the formula is more comprehensible.

    1. @John

      That is one option.

      There are times however when you want to see the whole data table or a filtered subset and still want to produce summary reports against an unfiltered field.

  2. Is there a particular reason why you are using a comma and the unary (–) operator for the second array in the SUMPRODUCT formula?  It seems to work the same if you were to string the arrays together using the asterisk (*).  The advantage is that SUMPRODUCT treats the entire string of arrays as a single array.

  3. Is there a way to do this on a large set of data? As in ~100,000 rows? When I try I get an error because the formula becomes too long. It says the max length of a formula is 8,192 characters. Excel 2010.

  4. How do I incorporate a specific text within a cell for the second array. For instance, – -(C7:C13=”Apple”)
    when I chose a specific text the formula does not work.

    1. @RB

      I am not sure what is the issue as if I use the sample data in the post the following work fine

      Count:
      =SUMPRODUCT(SUBTOTAL(3,OFFSET(C7:C13,ROW(C7:C13)-MIN(ROW(C7:C13)),,1)), –(C7:C13=”L”))
      Sum:
      =SUMPRODUCT(SUBTOTAL(3,OFFSET(C7:C13,ROW(C7:C13)-MIN(ROW(C7:C13)),,1)),(C7:C13=”L”)*(D7:D13))

      You may want to check that there are no leading or trailing spaces in your list of Apples

      1. I should have given a better explanation. Heres my situation. I have a column with cells filled with names like Column 1, Column 2, Pier 1, Pier 2, etc. If the cell just contained Pier and searched for that it works. But because it has other characters in the cell its not recognizing the pier. So how can I extract specific characters of a string of text in this formula?

        Hopefully this was a better explanation

  5. Hello-

    This formula works pretty well for me except that it slow down excel and prevents some of my macros from working. I was wondering if there was a way to program this in VBA so that excel isn’t always trying to recalculate it. I would like to use a push of a button to get it to run then paste in a cell.

    Thanks!

  6. I am trying to sum filtered data in a column, but would want to ignore the negative values in the column. How to go about doing this?

      1. The negative values are required for reporting purposes, but their effect on the total is distorting the required output. Please advise.

  7. I have this working for counting and summing, however, I have a list and for the second array, I need a criteria. That is, I’m looking for b13:b200=”01.??.??” or =left((a1,2) or something like that. These types of criteria matches do not appear to work as I get a blank as a result.
    Thanks!

    1. @Bob

      As your formula b13:b200=”01.??.??” looks like you are trying to check the first day of the month of the range
      What about trying Day(B13:B200)=1

  8. Hai Experts,
    i understood this formula well and working fine in MS Excel 2013
    but when the same am trying to place in google Spreadsheet it shows error as
    “SUMPRODUCT has mismatched range sizes. Expected row count: 1. column count: 1. Actual row count: 2014, column count: 1.” and as a result #VALUE! Appears in cell.
    Can anyone please help me how would i get it done in Google Spread sheet
    or is there any other formula as a substitute for this.
    Thank you very much.

    1. @Vivek

      I don’t know

      I just downloaded the file and it is working fine and not showing that error

      Goto the Formulas, Calculation Options Tab and check that Calculation is set to Automatic

      What version of Excel and Windows are you using ?

  9. I know that this forum is for MS Excel, but I am trying to help someone who is working in Google Sheets. The below formula works in Excel but Google Sheets returns:
    “SUMPRODUCT has mismatched range sizes. Expected row count: 1. column count: 1. Actual row count: 39000, column count: 1.” and as a result #VALUE! Appears in cell.
    This is the same problem asked by Srichirin above. Does anyone know if there is a formula for Google Sheets that will replicate what MS Excel does?

    =SUMPRODUCT(SUBTOTAL(3,OFFSET($C$6:$C$39500,ROW($C$6:$C$39500)-MIN(ROW($C$6:$C$39500)),,1)),- -($C$6:$C$39500=H1),($D$6:$D$39500))

  10. Trying to find a SUMPRODUCT formula that counts the word Closed by date for the last 7 days in a filtered list.
    =COUNTIF(M:M,”>”&TODAY()-7) works ok for unfiltered count Column M contains Closure dates (blank if open) and Column L is Status Open or Closed

  11. I used this formula and worked like a charm! But, now I’ve been requested to use it but adding not one but two criteria in the same formula. For instance the sum I was doing added negative and positive numbers. I’ve been asked to use the exact same formula but adding that only positive numbers were considered… any idea on how to do this?

  12. Thank you so much brother literally I have been struggling since morning to get the sum of the filtered category, however, after reading your blog attentively i got my solution, so thanks a lot once again.

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