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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30 Responses to “Rescue oddly shaped data – Battle between Formulas, VBA and Power Query”

  1. MF says:

    Nice use of Power Query! Power Query is simply awesome! But somehow a lot of people are punishing themselves by not using it (not learning it).

    An imperfect 4th approach for consideration... no codes at all...
    Select myrange.
    Go to Special --> Blank
    Delete Cell --> Shift cell left
    90% done... now we just need to move the data of 2nd column to the bottom of 1st column
    Of course... Power Query is the best.
    Cheers,

  2. There is another way but it involves multiple steps:
    Copy the values in column E, move the cursor to F5, Paste Special with Skip Blanks, OK
    Copy the values in column D, move the cursor to F8, Paste Special with Skip Blanks, OK
    And so on.
    This works perfectly, albeit a little clumsily apart from the values in B17 and C16, which can be moved with simple copy and paste

  3. Robson says:

    Power Query Forever! I do not know how I survived for so long without knowing and using this tool, I can not recommend it to my colleagues, but by the way they prefer to suffer to learn.

    My congratulations here from Brazil.

  4. Haz says:

    I rolled my eyes when I saw that data

    Using decimal places is a nice trick to order data, thanks for that

    And tweaking the first formula a bit, you can use OFFSET instead of INDIRECT

    =OFFSET($A$1, MIN(IF(myrange, ROW(myrange)), ROWS(A$1:A1))-1, RIGHT(TEXT(MIN(IF(myrange, ROW(myrange) + COLUMN(myrange)*0.00001), ROWS(A$1:A1)), ".00000"), 5)-1)

    • Michael Connor says:

      Tried the above formula with the downloaded oddly shaped data file and I could not get it to work. I get #value without ctrl+shift+enter, and #ref with ctrl+shift+enter.

      • Haz says:

        Sorry, it was SMALL, not MIN.
        Add with CTRL+SHIFT+ENTER.

        • Michael Connor says:

          Thank you for your formula. Like the indirect formula I tested this one in older versions of EXCEL and it worked without ALTERATION in EXCEL 95. Very impressive.

  5. Bertie Hechter says:

    Too complicated

    Use =Sum to summarize all the sells to the left and Bobs Your Uncle

  6. Michael Connor says:

    I tested this formula in versions of Excel all the way back to Excel 95

    =IF(ISERROR(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(MyRange"",ROW(MyRange)+COLUMN(MyRange)*0.00001),ROWS(A$1:A9)),"00000.00000"),".","C"),FALSE)),"",(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(MyRange"",ROW(MyRange)+COLUMN(MyRange)*0.00001),ROWS(A$1:A9)),"00000.00000"),".","C"),FALSE)))

    So there are multiple ways of cleaning up messy data by formulas.

    • Chandoo says:

      Wow.. Excel 95. Who knew people still use that. But as you have shown, Excel has all these beautiful and powerful functions for 23 years. It has data sciency stuff before DS was even a thing.

      • Michael Connor says:

        I had a problem with pasting the formula in the original post.
        Formula should be: =IF(ISERROR(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(myrange"",ROW(myrange)+COLUMN(myrange)*0.00001),ROWS(A$1:A1)),"00000.00000"),".","C"),FALSE)),"",(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(myrange"",ROW(myrange)+COLUMN(myrange)*0.00001),ROWS(A$1:A1)),"00000.00000"),".","C"),FALSE)))

        EXCEL even in a 16 bit version, is a very robust and capable program.

  7. Michael Connor says:

    I don't like the VBA code. If you have a blank row in MyRange, the last entry in the range is doubled up in the paste.here range.

    • Chandoo says:

      Not really. The macro is writing one cell at a time from paste.here. You have to clean the range before, which I was too lazy to write. But a line like Range(range("paste.here"), range("paste.here").end(xldown)).clearcontents should do the trick.

      • Michael Connor says:

        Adding Range(range("paste.here"), range("paste.here").end(xldown)).clearcontents fixed the problem.

  8. A Rakesh Patro says:

    for step split column by delimiter i am not getting option of split into rows or columns. Can you help me in this

  9. Marc says:

    Thanks Chandoo for promoting Power Query.

    To simplify further, you can "Unpivot Columns" instead of right click on the newly created column and split it by comma in to rows in step 3 of Power Query.

  10. johan says:

    i used

    =LOOKUP(10000,B5:F5)

    and got the answers. I just plagiarized this formula somewhere and use it, maybe you can explain why it works.
    Regards

    • Chandoo says:

      @Johan... I am not sure if the formula works correctly. When I tested it with the sample data in this post, it showed #N/As in two cells. Essentially, it will only give first value in each row. So if a row has multiple values, then subsequent values are missed. LOOKUP() function goes thru a list and finds the first value that is less than or equal to the input - in this case 10000 in B5:F5.

  11. Ben says:

    I have the need to convert pdf's to excel on occasion and they often come out a mess like this. I have used:

    Cell G2 =COUNT(myrange)
    Cell G3 =IFERROR(IF(G2-1<1,"",G2-1),"") copied down to G100
    Cell H2 =IFERROR(LARGE(myrange,G2),"") copied down to H100

  12. Patrick says:

    Waouw...

    =IFERROR(INDIRECT("R" & SUBSTITUTE(TEXT(SMALL(IF(myrange "", ROW(myrange) + COLUMN(myrange)*0.00001),
    ROWS(A$1:A1)), "00000.00000"), ".", "C"), FALSE), "")

    but CTRL Shift Enter with {} before and after 🙂 😀

  13. Peter B says:

    Another possibility.
    This assumes that you have a row index 'k' to use in the SMALL function and a column index 'h' to identify the columns of 'myRange'.
    If you define 'coord' to refer to
    =k+h/10 [assuming h<10]
    then it will be possible to recover values later based upon location within 'myRange'. The formula 'nb' that identifies non-blanks by coordinates is given by
    = SMALL( IF(myRange"", coord), k )
    Finally, to unpick the pieces
    = INDEX( myRange, INT(nb), 10*MOD(nb, 1) )

  14. Peter B says:

    Whilst I am here and making trouble the PQ solution is also a tad over-complicated. All that is needed is to unpivot the entire table and remove the Attribute column.

    The advanced editor would show
    let
    Source = Excel.CurrentWorkbook(){[Name="myRange"]}[Content],
    #"Unpivoted Columns" = Table.UnpivotOtherColumns(Source, {}, "Attribute", "Value"),
    #"Removed Columns" = Table.RemoveColumns(#"Unpivoted Columns",{"Attribute"})
    in
    #"Removed Columns"

  15. vivian.liu says:

    1.fill the blank cells with 0
    2.the requested column value=sum of those mess number column
    but this can be used in only one column has value

  16. Juan Carlos Barreto says:

    Chandoo

    And if we use the formula SEARCH (100000000, B5: F5)

    JC

  17. Daniel Dion says:

    Another approach with Power Query, it will still work if the number of columns changed:
    let
    Source = Excel.CurrentWorkbook(){[Name="myrange"]}[Content],
    #"Added Custom" = Table.AddColumn(Source, "List", each Record.ToList(_)),
    #"Removed Other Columns" = Table.SelectColumns(#"Added Custom",{"List"}),
    #"Expanded LIst" = Table.ExpandListColumn(#"Removed Other Columns", "List"),
    #"Filtered Rows" = Table.SelectRows(#"Expanded LIst", each ([List] null))
    in
    #"Filtered Rows"

  18. Bob says:

    Nowadays, you can just use TOCOL on Excel 2024, MS 365, and Web Excel. It has a parameter to ignore blanks/errors/both.

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