This article explains what “sort randomly horizontally reverse” means in spreadsheet and data tools, and how to actually do it. You enter a row of data, and you want to randomly shuffle the columns while reversing their order — this guide covers the exact formulas and steps for Excel, Google Sheets, and similar tools.
Formula
There is no single built-in “sort randomly horizontally reverse” button in Excel or Google Sheets. The operation combines two steps: (1) generate random numbers for each column, (2) sort those columns by the random numbers in descending order (which reverses the original order when the random numbers are tied or when you add a secondary sort). The formula for the resulting column order is:
New position = RANK(random_value, random_range, 0) + COUNTIF(random_range, random_value) - 1
Where:
random_value— a random number assigned to each column (e.g.,=RAND()in Excel).random_range— the list of all random numbers for the row.0— descending order (largest random number gets position 1).COUNTIF— handles ties so no two columns get the same rank.
If you want a pure reverse (no randomness), the formula is simply New position = (Number of columns + 1) - Original position.
Worked Example
Suppose you have 6 columns with headers A, B, C, D, E, F. You assign random numbers: 0.71, 0.42, 0.95, 0.13, 0.62, 0.38. To get a reversed random order, sort these numbers in descending order:
- Largest: 0.95 (column C) → position 1
- Next: 0.71 (column A) → position 2
- Next: 0.62 (column E) → position 3
- Next: 0.42 (column B) → position 4
- Next: 0.38 (column F) → position 5
- Smallest: 0.13 (column D) → position 6
Resulting order: C, A, E, B, F, D. If you instead want a pure reverse, the order becomes F, E, D, C, B, A. The calculator above shows the reversed random order for a given number of columns and a seed (for reproducible randomness).
Why Would You Need This?
This operation appears in data anonymization, experimental design, and game setup. For example, you might have a row of participant IDs and want to assign them to conditions in a random but counterbalanced order. Or you have a list of quiz questions and want to present them in a random order, but also reverse the order for a second group to control for practice effects. In those cases, “randomly horizontally reverse” means: shuffle the columns randomly, then reverse the entire sequence. The result is a new order that is both random and the exact opposite of another random order.
How to Do It in Excel
Follow these steps in Excel (2016 or later, including Microsoft 365):
- Insert a new row above your data row. In each cell of that row, enter
=RAND(). This generates a random decimal between 0 and 1. - Select the entire data range including the random row.
- Go to the Data tab and click Sort.
- In the Sort dialog, choose Sort by — select the row number that contains your random numbers (e.g., “Row 1”).
- Set Sort On to “Cell Values” and Order to “Largest to Smallest”.
- Click OK. Your columns are now shuffled randomly.
- To reverse that order, repeat the sort but choose “Smallest to Largest” — this reverses the previous order.
If you want a single step that does both, use a helper row with =RAND() and another with =RANK(...), then sort by the rank in descending order.
How to Do It in Google Sheets
Google Sheets works similarly, but the sort menu is different:
- Add a helper row with
=RAND()in each cell. - Select the columns you want to sort (click the column letters).
- Right-click and choose Sort range.
- Check “Data has header row” if applicable.
- Choose the helper row as the sort column, and select “Z → A” (descending).
- Click Sort.
To reverse the result, repeat the sort with “A → Z”. For a pure reverse without randomness, you can use the SORT function with a helper sequence: =SORT(A1:F1, 1, FALSE) sorts horizontally? Actually, SORT works on arrays, so you may need =TRANSPOSE(SORT(TRANSPOSE(A1:F1), 1, FALSE)).
Common Mistakes and Pitfalls
- Mixing up rows and columns: “Horizontally” means across columns, not down rows. Make sure you are sorting a row, not a column.
- Random numbers recalculating: In Excel,
RAND()recalculates every time you change the sheet, so your sorted order may change unexpectedly. To freeze, copy the random row and paste as values. - Ties in random numbers: Rare, but if two cells have the same random value, the sort order is arbitrary. Use the
RANKformula withCOUNTIFto break ties. - Forgetting to reverse: If you only sort descending, you get a random order, not a reversed random order. You must sort twice (or use a rank formula) to get the reverse effect.
- Header row issues: If your data has headers, exclude them from the sort range to avoid moving them.
Alternatives and Related Functions
If you need this frequently, consider these alternatives:
- Excel SORTBY:
=SORTBY(A1:F1, RANDARRAY(1,6), -1)sorts horizontally by a random array in descending order. This gives a random order, not a reversed random order, but you can combine withSEQUENCEto reverse. - Google Sheets SORT:
=SORT(TRANSPOSE(A1:F1), 1, FALSE)transposes to a column, sorts descending, then transposes back. - Power Query: In Excel, you can load the row as a table, add an index column, sort by a random column, then reverse the index.
- Manual reverse: If you just need the exact opposite of the current order, copy the row, paste it somewhere, and use the
TRANSPOSEfunction with a descending sequence.
Frequently Asked Questions
What does “sort randomly horizontally reverse” mean exactly?
It means taking a row of data (horizontal orientation) and shuffling the columns in a random order, then reversing that shuffled order. The result is a sequence that is both random and the exact mirror image of another random sequence. It’s often used in experiments to counterbalance order effects.
Can I do this without a helper row?
Yes, in Excel you can use SORTBY with RANDARRAY: =SORTBY(A1:F1, RANDARRAY(1,6), -1). This sorts the row by a random array in descending order. To reverse that result, wrap it with CHOOSECOLS or use a second SORTBY with a sequence. In Google Sheets, use SORT with TRANSPOSE.
Why does my random order change every time I edit the sheet?
Because RAND() and RANDARRAY are volatile functions — they recalculate whenever any change is made. To lock the order, copy the helper row and paste it as values (right-click > Paste Special > Values). Then sort using those fixed numbers.
How do I reverse a row without any randomness?
Use the formula =CHOOSECOLS(A1:F1, 6,5,4,3,2,1) in Excel, or =INDEX(A1:F1, 1, 6-COLUMN(A1:F1)+1) entered as an array formula. In Google Sheets, =SORT(TRANSPOSE(A1:F1), 1, FALSE) works, or simply use =CHOOSECOLS if you have the latest version.
Is there a way to make the reverse random order reproducible?
Yes, use a fixed seed. In Excel, you can use =RANDARRAY(1,6,1,100,TRUE) with a fixed seed? Actually, RANDARRAY doesn’t accept a seed. Instead, use a custom function or a data table with a fixed random number list. In Google Sheets, you can use =RAND() but copy and paste as values after generating. The calculator above uses a seed to produce a deterministic order for demonstration.
Does this work with multiple rows of data?
Yes, but you need to sort each row independently. If you have a table, you can add a random column and sort by that column, but that sorts rows, not columns. To shuffle columns across multiple rows, you need to transpose the entire range, sort, then transpose back. This is more complex and often requires a script or Power Query.
Related
Formula used
in n | Number of columns | - | 6 | 2 | 100 in seed | Random seed | - | 1 | 0 | 1000000 out order | Reversed random order | - | 0 | 0
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.
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