## Generate random number by given certain mean and standard deviation in Excel

In some certain cases, you may want to generate a series of random numbers based on given specific mean and standard deviation, how could you quickly solve this problem? Now this tutorial will introduce a way for you to handle with it in Excel.

Generate random number by given mean and standard deviation

#### Generate random number by given mean and standard deviation

To solve this problem, you need to do as below steps:

1. Firstly, you need to type your needed mean and standard deviation into two empty cells, here, I select A1 and A2. See screenshot:

2. Then in cell B3, type this formula =NORMINV(RAND(),\$B\$1,\$B\$2), and drag the fill handle to the range you need. See screenshot:

Tip: In the formula =NORMINV(RAND(),\$B\$1,\$B\$2), \$B\$1 indicates the mean, \$B\$2 indicates the standard deviation.

3. Then in cell D1 and D2, you need to calculate the mean and standard deviation of the random number you has inserted in step 2. In D1, calculate the mean, type =AVERAGE(B3:B16), press Enter key and in D2, calculate the standard deviation, type =STDEV.P(B3:B16) and press Enter key.

Tip: In Excel 2007, you need to type the formula =STDEVP(B3:B16) to calculate the standard deviation of the first random numbers.

Tip: B3: B16 is the range you randomize numbers in step 2.

4. Now you can generate the real random numbers you need. In cell D3, type this formula =\$B\$1+(B3-\$D\$1)*\$B\$2/\$D\$2, and drag the fill hand to the range you need. See screenshot:

Tip: B1 indicates the mean you need, B2 indicates the standard deviation you need, B3 indicates the first cell of your first random numbers, D1 is the mean of first random numbers, D2 is the standard deviation of first random numbers.

You can check the mean and standard deviation of the final random number series.

5. In cell D17, type =AVERAGR(D3:D16) and press Enter key, then in cell D18, type =STDEV.P(D3:D16) (or =STDEVP(D3:D16) in Excel 2007) and press Enter key.

Tip: D3:D16 is the range of the last random number series.

#### Easily Insert Random Data without duplicates in a range of cells

If you want to insert random and no duplicate integer numbers, dates, times or strings, even custom lists into a range of cells, the forumula maybe hard to remember. But Kutools for Excel's Inser Random Data can quickly handle these jobs as easily as possible. Click for full features 30 days free trial!

Kutools for Excel: with more than 300 handy Excel add-ins, free to try with no limitation in 30 days.

### Best Office Productivity Tools

 Popular Features: Find, Highlight or Identify Duplicates   |  Delete Blank Rows   |  Combine Columns or Cells without Losing Data   |   Round without Formula ... Super Lookup: Multiple Criteria VLookup  |   Multiple Value VLookup  |   VLookup Across Multiple Sheets   |   Fuzzy Lookup .... Advanced Drop-down List: Quickly Create Drop Down List   |  Dependent Drop Down List   |  Multi-select Drop Down List .... Column Manager: Add a Specific Number of Columns  |  Move Columns  |  Toggle Visibility Status of Hidden Columns  |  Compare Ranges & Columns ... Featured Features: Grid Focus   |  Design View   |   Big Formula Bar   |  Workbook & Sheet Manager   |  Resource Library (Auto Text)   |  Date Picker   |  Combine Worksheets   |  Encrypt/Decrypt Cells   |  Send Emails by List   |  Super Filter   |   Special Filter (filter bold/italic/strikethrough...) ... Top 15 Toolsets:  12 Text Tools (Add Text, Remove Characters, ...)   |   50+ Chart Types (Gantt Chart, ...)   |   40+ Practical Formulas (Calculate age based on birthday, ...)   |   19 Insertion Tools (Insert QR Code, Insert Picture from Path, ...)   |   12 Conversion Tools (Numbers to Words, Currency Conversion, ...)   |   7 Merge & Split Tools (Advanced Combine Rows, Split Cells, ...)   |   ... and more

Supercharge Your Excel Skills with Kutools for Excel, and Experience Efficiency Like Never Before. Kutools for Excel Offers Over 300 Advanced Features to Boost Productivity and Save Time.  Click Here to Get The Feature You Need The Most...

#### Office Tab Brings Tabbed interface to Office, and Make Your Work Much Easier

• Enable tabbed editing and reading in Word, Excel, PowerPoint, Publisher, Access, Visio and Project.
• Open and create multiple documents in new tabs of the same window, rather than in new windows.
• Increases your productivity by 50%, and reduces hundreds of mouse clicks for you every day!
No ratings yet. Be the first to rate!
This comment was minimized by the moderator on the site
Sizin yapacağınız çeviriyi miksinler....
This comment was minimized by the moderator on the site
Muy útil, muchas gracias.
This comment was minimized by the moderator on the site
Super helpful! Can you please explain how you get the formula for the Final Random numbers please?
This comment was minimized by the moderator on the site
So why do you use the NORMINV function instead of the NORM.DIST function? What benefit does having the inverse of a distribution over
This comment was minimized by the moderator on the site
Is there a way to insert upper and lower limits to this formula?
This comment was minimized by the moderator on the site
Kewl. I used this to simulate market returns. However, I should mention that Mean is not the same as CAGR; i.e. I had to adjust the Mean higher to obtain my desired return.
This comment was minimized by the moderator on the site
Thank you soooo much, I've looking for this all day. Extremely helpful !
This comment was minimized by the moderator on the site
Amazing! Thanks for this post. It works!
This comment was minimized by the moderator on the site
this is really helpful, but i have a problem with negative value. what should i do?
There are no comments posted here yet