# Formula For Three Sigma Rule Of Standard Deviation

Sep 20, 2009
I want to find the correct formula to find answers using excel for the folliowing:

1. >3Sds

2. 3SDs<>2SDs

3. 2SDs<>1SD

4. <1SDs

This question uses 3 sigma rule (see attached worksheet) and the formula needs to be re-arranged to meet new criteria. So, we need to consider both sides of nornmal distributiion (ND) curve. eg. when we say >3SD it means it should count all valuee falling in the rage "Mean(Average)+3SD AND Mean-3SD" i.e two extreme ends of the ND cureve. I have inserted a normal distribution diagram and colour coded the ranges so that it will be easy to identify. Please refer comments inserted in K7to N7, cells that contain formula that need to be reset.

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Sep 10, 2006

I am trying to come up with a STDEVA formula that will only count values greater than 0 in a data set. Is this possible?

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Mar 24, 2014

Just like sumif and averageif, is there a standarddeivationif?

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Jun 22, 2009

Is there anyway to do a standard dev w/o the max + min in a range of numbers?

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Oct 11, 2013

I have a set of data and need to get Stdev 1, Stdev 2 and Stdev 3 but i honestly not sure what are those. I have attached the file : stdev.xlsx

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Dec 4, 2008

I am trying to learn VBA and started reading Wallenbach's book and I thought the best way to get up to speed fast was to work on some real problems.

So this is what I am trying to do.

I have a list of about 1000 stock price returns in the following format

jan 1 2008 .033

jan 2 2008 .01

jan 3 2008 -.002

jan 4 2008 -.0033

jan 5 2008 .04

What I want to do is calculate in VBA a moving 3 day standard deviation of returns. So I want the first calculation to include jan 1 - jan 3 and place the answer in the cell to the right of jan 3 return. Then move down 1 row and calculate the standard deviation using jan 2 - jan4 and place the answer in the cell to the right of jan 4 return...and so on until the last cell.

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Jun 20, 2007

i'd like to calculate the standard deviation of different items all in the same database

If this would be the database:

a 1

a 2

b 9

a 6

b 5

b 3

c 2

c 5

a 7

Than this would be the result:

item a 2.55

item b 2.49

item c 1.50

I succeeded in doing this via a pivot table but i want to create a calculation as the result should be part of other data in another sheet.

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Dec 10, 2011

The spreadsheet below shows the Date (Column A), Percentage (Column B), and Standard Deviation (Column C). What I would like is a macro that finds the standard deviation for all percentages of a given date, and for the output to be placed in the first cell of Column C of that given date. If a cell in Column C is not the first for a given date I would like for it to be blank.

Date Percentage Stan Dev (Output) 8/19/09 26.75% 0.77% 8/19/09 26.79%

8/19/09 28.14%

8/19/09 26.57%

8/19/09 26.40%

8/19/09 25.54%

8/19/09 26.61%

9/16/09 36.54% 3.04% 9/16/09 37.27%

[Code] .........

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Mar 19, 2009

I was wondering what the best way to create a standard deviation graph was? I have a single row of numbers and need to make a stadard deviation graph.

I read somewhere that the analysis toolpak would be useful for this but having installed it i'm not really sure what to do next.

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Feb 10, 2009

i need simulate data in 10 cells with a fixed standard deviation and a fixed mean

Example: Simulating the laptime for a runner where the mean should be 50 and the standard deviation 5,

I tried typing

=50+5*RAND()*(-1^(RANDBETWEEN(1;2)))

That gives me a mean close to 50 which is good but th standard deviation is no where near 5.

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Aug 10, 2009

I have a dynamic range that I need to be able to calculate the standard deviation for. The dynamic range sometimes has blank cells and #N/A cells which I do not want included in the calculation. However, there are sometimes cells with the number 0 in it (instead of blank) which I do want to include. I have come up with an array formula, but the standard deviation it calculates is not correct. The formula is:

=STDEV(IF(ISNUMBER(A3:A20000)*ISNUMBER(A3:A20000),1,0)). *This is an array formula calculated by pressing CTRL+SHIFT+ ENTER. The number it calculates is 0.43, however, this is incorrect. If you just calculate the standard deviation of the actual data points in excel (cells A138:A5055 in this case) : STDEV(A138:A5055), it returns 0.17. This is the correct standard deviation.

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Oct 15, 2009

I have a sheet of data in which Column A contains a list of sales agents names and Column B contains their results against their KPIs. All the data is terribly skewed due to new metrics so I have been tasked with attributing 'ranking band' to their performance, i.e. very low, low, medium, high, very high.

I have calculated the average and standard deviation for the list of data, but now I need to calculate which ranges will fall under which ranking band, e.g. very low is less -18%, low is greater than 18% but less than 80%, etc.

I also need to come up with a nested if statement next to each of the sales agents so it returns what ranking brand they are on based on their performance. Sample sheet attached. EDIT - attachment on post #4.

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Nov 17, 2009

So this forum has helped me in the past develop a standard deviation that removes max and min from the data set.

=STDEV(LARGE(E5:AB5,ROW(INDIRECT("2:"&COUNT(E5:AB5)-1))))

Would if be possible to adjust this formula to ignore N/A's?

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Mar 14, 2014

I am trying to calculate the Standard Deviation of an array. However, to populate the array, I have the following:

Count Number 1 Count Number 2 CountNumber 3

1 100 2 200 3 300

For example, this above means that there are 1 100's, 2 200's, 3 300's. I would ideally like to populate an array that is {100,200,200,300,300,300} based on those 6 columns that provide a count and a number. Then, I would like to calculate the standard deviation based on those (in this case it is 74.5).

array.jpg

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Dec 30, 2005

I want to get the standard deviation based on criteria. It looks like this.

Criteria is 40 consecutive values ignoring 0 in Column A.

A B

1 50

2 20

3 10

0 20

4 10

5 20

....

....

nth

I use manual selection (e.g. =STDEV(B1:B3, B5:B6, etc...) that covers the 40

consecutive rows. B4 here is zero so I did not select it.

My rows is getting bigger and bigger, how could I formulate this?

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Aug 2, 2013

I am trying to calculate a Robust mean and a robust standard deviation.For Example how to calculate robust mean and robust standard deviation on "Calcium" on the document here: [URL] .......

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Jul 8, 2002

I have a seris/column of numerical data for which I want to work out percentage differences and then calculate the standard deviation of the percentage differences for all values

For example in column A, I have

row 1 10

row 2 15

row 3 17

row 4 10

I want to work out % difference between row 1 and row 2 (which is 50%), row 2 and row 3 etc and the get the standard deviation of thoose % changes.

I know how to do this on the spreadsheet using formulas but I want to do it using a macro so that the macro returns the standard deviation of the percentage changes because I do not want to have any data showing on the spreadsheet other than the raw data.

kkknie kindly provided the following UDF to work out the the average of the percentage changes but is there code that will work out the standard deviation instead?

I thought maybe excel's built-in standard deviation function (stdev)could be incorporated somewhere into the code but I'm not sure how!

Function AvgPct(rngIn As Range)

Dim dblErrAccum As Double

Dim intErrCount As Long

Dim dblLastVal As Double

Dim r as range

dblErrAccum = 0

dblLastVal = 0

intErrCount = 0

For Each r In rngIn

intErrCount = intErrCount + 1

If intErrCount > 1 Then

'dblErrAccum = dblErrAccum + (r.Value - dblLastVal) / dblLastVal

dblErrAccum = dblErrAccum + Abs((r.Value - dblLastVal)) / dblLastVal

End If

dblLastVal = r.Value

Next

AvgPct = dblErrAccum / (intErrCount -1)

End Function

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Nov 17, 2006

I want to calculate the standard deviation of a whole population in my database (total population: 36,458)

I used the STDEV equation however, I went into help and it says that the equation calculates STDEV based on a sample of 30.

I don't want to calculate a standard deviation based on a sample. I want a standard deviation based on the whole population. Is it still okay to use the equation?

The reason I want to calculate the standard deviation is so that I can use that number to calculate the sample size needed for my population so I can create a histogram.

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Feb 20, 2007

Is there a way to do a stddevif of a sort? I have a flat file with thousands of records and based on criteria I group all records into specific buckets. I need to, without sorting, find the stddev of each group. Can this be done and if so does it require an array function (hopefully not). I dont mind having 3-4 additional columns of arguments to help me compute this (i.e countif, sumif, average, (Variance-average)^2, etc.).

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Jun 13, 2007

a column represents quantities and their measurement frequency in another column.

Using excel functions, how can I calculate the mean, median, and standard deviation

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Oct 9, 2008

I don't know too much about standard deviation, but I was wondering if somebody could help me with a function to find 1 standard deviation (68%??) from the largest value (not the mean value) within a column of values. What i'm really after is the 'standard deviation boundaries' either side (i.e. 34% of values above the largest value and 34% below the lowest value) as a highlight.

im using excel mac 2008 so no vba im afraid.

here is an example of real data: ...

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Feb 1, 2008

I am fairly new to VBA, i require some help creating a Standard Deviation UDF using arrays, i have made a userform that allows a user to select anywhere between 1 to 30 companies (A1: AD1) and its corresponding stockprices (A1:A60) in a sheet called companydata, using the following sub, my problem is that i am unsure how to create a function using the info the user selects. I have also created a returns function (below) but this is vba is saying that there is a out of range error, Will anyone be able to help please.

Below is the code i am using to allow for my sub: ....

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May 30, 2014

An age-old controversy has resurfaced in our lab regarding the calculation of a mean and standard deviation of a set of two numbers. There have always been those who say that you can't have a standard deviation of two numbers, but now someone has said that a mean of two numbers is meaningless (no pun intended). What is the current thinking on this? Of course, mathematically speaking, you can certainly calculate these values with only two numbers, but is a mean of two numbers not considered a valid measurement? How about a standard deviation?

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Dec 10, 2013

Basically i have a list of data for example from B2 to B2000 for which i want to calc a standard deviation across however the number of data points in the standard deviation need to be dynamic.

For example in Cell a1 i can enter 150 it will then calc the standard div across the first 150 data points (points 1 to 150) then in the cell below calculate the next standard div.

Standard Div Points10

Data PointData ListStandard div

10.167442459

20.539073451

30.29740845

40.309440859

50.640742715

[code].....

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Nov 24, 2009

I'm trying to create a VBA piece to calculate the standard deviation of the difference of two arrays. I have two columns of data and i want to create a third column that is the first minus the second and them calculate the standard deviation of that. My problem is that i wanted to do all of this behind the scenes in VBA (didn't want to output the third column).

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Feb 18, 2012

I run data sets and use standard deviation frequently but will often times have an issue with the formula. For instance in the following example I use the standard deviation function for the $/Acre column and it returns a value, but using the same data set to try to get a value for the $/WFF column gives the #DIV/0! error message.

FYI the two formulas are listed below...

=DSTDEV(D3:Q16,M3,M3:M16) This one works

=DSTDEV(D3:Q16,Q3,Q3:Q16) This one does not work

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Dec 4, 2012

Formula for computing the weighted standard deviation? I was able to calculate the weighted average (16.4) but have been unsuccessful in computing the weighted SD. I conducted numerous searches and have not been able to find a posted formula that actually works. My data are as follows:

Year Shootings Weight*

2003 4 1

2004 17 2

2005 14 3

2006 19 4

2007 18 5

*The reason I set up the weights the way I did is because I want to give more weight to the more recent years of shootings when comparing them to other years such as 2008, 2009, 2010 and so on.

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Apr 16, 2007

I have a sheet of over 28,000 rows. I'd like to figure standard deviation of certain cells in a column that meet a specific criteria.

Do I need an If statement, is there a function that will allow me to do this, or anything else?

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Jun 12, 2007

I'm currently trying to perform some statistical functions on a range of data but with little success.

I want to "AVERAGE" the range and also do a "STDEV" on the range G8:G107 but some of the cells contain #N/A formula errors. I must have the formula returning #N/A to the cells else my chart on the same range plots the empty cell as 0.

What formula can I use that will let me do the standard average and stdev functions on that range, but ignoring the #N/A errors as if they were simply empty cells?

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Apr 17, 2009

Can someone please help me with my query?

I have a large database and would like to calculate standard deviation based on a condition "Yes" or "No".

Shown below is a small layout from my database: ....

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Jul 9, 2006

I m trying to compute the mean and standard deviation for the following output:

Private Sub RunMCSimButton_Click()

'Sub created so that once the macro button is pushed, it outputs a specified number

'of FTSE 100 values and the equivalent binary payoffs.

Dim Kt As Double

Dim q As Double

Dim r As Double

Dim IndexBetValue As Double

Dim SampleSz As Long

Dim IndexSim() As Double

Dim Cnt As Long

Dim Payoff() As Double

'All the relevant variables have been defined.

'Read the parameter values from the required cells.

With Me.Range("d4")

Kt = .Cells(1, 1).Value

q = .Cells(2, 1).Value

r = .Cells(7, 1).Value...........................................

As you can see from the code, by pressing the macro button a list of FTSE 100 values and binary payoffs are produced and outputted into the spreadsheet. What I need help on is writing a piece of code that, also on the click of the macro, will output the mean and standard deviation of these values in specified cells, e.g. C10 mean and C11 SD.

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Jan 2, 2008

What I have:

If A1 = "5" (#of wins)

B1 = "2" (#of losses)

Column C = "1" all the way down (represents a success)

Column D = "0' all the way down (represents a failure)

What I want:

A formula that will calculate the standard deviation of the range based on what is input in A1 and B1. So in this example:

=STDEV(C1:C5,D1:D2)

I'm just tired of manually specifying these ranges when the values in the cells hold the length of the range.

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Mar 7, 2008

I have tried to find information on this subject, but it seems diifficult to find exactly what I am looking for. I have provided a test example of the operation that I would like to acheive. The first example (Method 1) works well enough but would require defining more detailed functions beyond the scope of average. This would probably be ok, but more importantly, I would like to source particular arrays in this manner for other tasks beyond averages and even standard deviation and am not quite sure how this can be done. In an attempt to describe the situation, I have provided a second example (Method 2). In this example, I am trying to take the average of the jth column array to create an array of averages. I am not sure if I am incorrectly setting up the matrix, if the functions don't perform this way in the matrix, or if this is simply not possible.

Sub test()

a = 5

b = 5

Redim X(1 To a, 1 To b) As Double

'Assumes there is a matrix of values [a x b] drawn from worksheet

For j = 1 To b

For i = 1 To a

X(i, j) = Cells(i, j)

Next

Next

'----METHOD 1---------------------------------------------

'I know this way works using average as an example, but...

Redim AverageX(1 To a, 1 To b) As Double.......................

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Aug 13, 2008

ColorFunction is a great tool, but I would like to use it to calculate the Standard Deviation of color filled cells. Can the following code be modified to do this?

Function ColorFunction(rColor As Range, rRange As Range, Optional SUM As Boolean)

Dim rCell As Range

Dim lCol As Long

Dim vResult

lCol = rColor.Interior.ColorIndex

If SUM = True Then

For Each rCell In rRange

If rCell.Interior.ColorIndex = lCol Then

vResult = WorksheetFunction.SUM(rCell,vResult)

End If

Next rCell

Else

For Each rCell In rRange

If rCell.Interior.ColorIndex = lCol Then

vResult = 1 + vResult

End If

Next rCell

End If

ColorFunction = vResult

End Function

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Aug 2, 2012

I want to calculate standard deviation for about 5~22 cells (number is not the same every time) in a column before "#N/A" appears after the last valid number. How can I do that?

Example:

3.2

4

2

2.1

.

.

.

3.2

2.4

2.5

#N/A

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Apr 7, 2014

I have to compute monthly standard deviation (volatility) from daily data.

The problem consists on the fact that the days during a month are not constant and change over time.

I attach the excel file : Price_Time_Series.xlsx

In this xls file, you can find dates in column A, price in column B and returns in column C.

I want to compute standard deviation at the end of the month for stock returns (column C), by considering all available days.

As you can note from the file, the days change over time and they are note constant. How can I compute standard deviation of them?

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Oct 17, 2005

Since I got such fantastic help with the last quesiton let me try one that

I've been beating my head against the wall on for two weeks now.

I'm calculating CAGR (Compound Annual Growth Rate) of an investment using

the following formula:

=((GEOMEAN(IF(Work!$A9:$A236<B2,Work!$DS$9:$DS$236))^12-1)*100)

A Column: Dates

D Column: Monthly returns in multiplier format

I want to do the same thing as this with GSD using this basic formula --

that is, only do the returns based on the IF statement:

=(EXP(STDEV(LN(Work!B9:B236)))^SQRT(12)-1)*100

And Sharpe with this formula:

=(AVERAGE(B49:B276)/STDEV(B49:B276))*SQRT(12)

Any help you can offer will certainly save me a ton of pain -- head's

beginning to hurt!

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May 11, 2008

I've daily data of a stock indices returns and I would like to calculate the monthly standard deviation. Currently, I'm using the following worksheet functions: =STDEVP(C2:C20)*SQRT(COUNT(C2:C20))

However, the range changes from month to month, which makes the process of calculating the monthly standard deviation to be quite tedious if I've about 10 years worth of data. I assume I could somehow substitute the range with a dynamic range, but I'm struggling to come up with the correct formulation that would do that.

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Mar 2, 2009

I have a list of 187 countries and I would like to find a way to do this with an array and not by hand. Attached here is an excel with a sample; I would like to compute the standard deviation of the variable for the period 1980-2008 for each country separately. Is there a way to do this without me having to select by hand the range corresponding to each country in the st dev formula?

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Jan 12, 2013

Looking for a formula to calculate 5 yr avg deviation.

year # of event

2007 59

2008 63

2009 53

2010 42

2011 46

with this set of numbers I can figure out the formula for 5 yr avg but can't figure out how to arrive @ the -18.3%.

where 5 yr avg is 52.6

where 5 yr avg deviation is -18.3%

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