Summation (Sigma) Formatting in Excel - excel

I have an equation that I am trying to format in Excel:
Sigma (from 1 to n) where n=10 of (xi-xo)^2
I have 10 values for xi and xo=0.5 for this particular problem. How would I go about summing this?

Use SUMPRODUCT:
=SUMPRODUCT((A1:A10-B1)^2)
Where A1:A10 holds the 10 numbers xi and B1 holds xo

Related

How to develop formula based on contents of two cells

I'm setting up an excel document and can't figure out the formula to this problem.
I want the formula to read:
If cell x is equal to Yes
if cell y is less then 1 it equals 0
if cell y is 1 or 2 then equals 1
if cell y is 3 or more then equals cell y multiplied by 2
if cell x was equal to No
if cell y is less than 5 then it equals 0
if cell y is more than 5 and less than 26 then equal that number
if more then 25 then equal 26
I have tried using different IF and IFS statements but cannot find a formula that works.
Here is a different approach with two small tables and vlookup.
May be easier to edit and control, up to you.
Standard IF with two CHOOSE(MATCH())
=IF(A1="Yes",CHOOSE(MATCH(B1,{-1E+99,1,3}),0,1,B1*2),IF(A1="No",CHOOSE(MATCH(B1,{-1E+99,5,26}),0,B1,26),0))
With IFS:
=IF(A1="Yes",IFS(B1<1,0,B1<3,1,TRUE,B1*2),IF(A1="No",IFS(B1<5,0,B1<26,B1,TRUE,26),0))
Nested IFS:
=IFS(A1="Yes",IFS(B1<1,0,B1<3,1,TRUE,B1*2),A1="No",IFS(B1<5,0,B1<26,B1,TRUE,26),TRUE,0)

EXCEL counting empty rows

A B C D E F G H
1 Y Y Y X
2 X X
3 Y Y
4 X X
5 Y Y Y X
Count the number of empty rows (from Columns A to E) and put result here. Answer should be 2 from example above.
Hi Folks,
I'm struggling to find the correct Excel formula to count the number of rows with no data from columns A through E, and putting that answer in a cell. These 'empty rows' may have data in later columns (like F, G, H), but I just want to count the rows with no data from columns A to E.
Any help would be appreciated.
Since array formulas tend to confuse people, here's a non-Array formula approach:
Place =IF(COUNTA(A1:E1)=0,1,0) into row 1 of (for example) column I and drag down to row 5. Then place a sum formula below that to get the answer, for example: =SUM(I1:I5)
Try this array formula,
=SUM(IF(ROW(1:5), IF(A1:A5&B1:B5&C1:C5&D1:D5&E1:E5="", 1)))
Remember to finalize with ctrl+shift+enter, not just enter.
You could also use a variation on the standard formula for getting row sums of a 2d array
=SUM(N(MMULT(N(A1:E5=""),TRANSPOSE(COLUMN(A1:E5)^0))=COLUMNS(A1:E5)))
or
=SUM(N(MMULT(N(A1:E5="Y"),TRANSPOSE(COLUMN(A1:E5)^0))=0))
Again they are array formulas and have to be entered with CtrlShiftEnter

Excel: What to multiply by to get a specific result

How do I make a formula that calculates what to multiply by in order to get a specific result?
Let's say I want to bet 100 at odds 2. This gives me 200, with a profit of 100.
What if the odds is 3 (or any other number). How much would I have to be to keep a profit of 100?
It sounds really simple, but I just can't figure it out...
Given k (e.g. 2 or 3) you want to solve the equation kx - x = 100. But this is just (k-1)x = 100 so x = 100/(k-1). If the odds (k) are in cell A1 and the target profit (e.g. 100) is in cell A2 then in cell A3 you can put the formula =A2/(A1-1). Obviously, you don't have to use those specific cells.

Sum of formulas (not numbers)

I want a kind of formula that applies any kind of formula to numbers before summing them.
e.g:
I have values of an angle at column A and I want the sum of the cosine of those angles.
Alternatives like adding another column to calculate the cos then finding its sum will not help since I particularly want to sum the difference between all of values of a column and each single value as a part with other multiplications
e.g
A B
1 7
2 11
3 9
4 8
5 6
I want for cell B1 to have the sum of all numbers after subtracting A1 from each one
same cell B2 to have the sum of all numbers after subtracting A2 from each one.
You can do this without resorting to an array formula:
=SUMPRODUCT(--($A$1:$A$5)*1-A1)

3 Variable Weighted Average in Excel

I have 3 variables that I need to take a weighted average of.
I want to excel to calculate all possible combination of weights by .01 increments.
I have three columns in excel. Weight A, Weight B and Weight C. Weight A = 1-sum(Weight B + Weight C).
Fix Weight C to .01, Cell in column B will be = cell above + 0.01 (where the very first cell is just a value cell of 0.01)
This works, but then I have to manually search for where Weight A becomes negative and then manually change the cell in column B back to 0.01 (next cell continues the formula of cell above + 0.01), and then manually change the cell in column C to 0.02 and drag it down.
As you can see, I would have to do this for C=.03, .04, .05 ....etc. And then fix column B as .01, .02, .03 etc.
Is there a faster way of doing this? i.e. Excel finding all possible combinations of the sum of 3 cells summing to one?
Thanks in advance.
I believe I have a grasp on what you are trying to accomplish. Would your results look similar to the following?
        
The formulas in A2:C2 are,
=1-SUM(B2:C2) ◄ A2
=IF(SUM(A1)=0, 0.01, B1+0.01) ◄ B2
=IF(SUM(A1)=0, MAX(C$1:C1)+0.01, C1) ◄ C2
Fill down as necessary.

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