How to add up an arbitrary number of cells - excel

I have a spreadsheet in which for each column/category, I tally up the the values for the last X days from another sheet.
This X is different for different columns/categories.
Here is the equation that I am currently suing, which tallies up to a week's worth of values, depending on the value of D$2 (the number of days that I want to tally). (Equation has been formatted to make it easier for humans to read):
= Daily!D15
+ IF(D$2 >= 2, Daily!D14, 0)
+ IF(D$2 >= 3, Daily!D13, 0)
+ IF(D$2 >= 4, Daily!D12, 0)
+ IF(D$2 >= 5, Daily!D11, 0)
+ IF(D$2 >= 6, Daily!D10, 0)
+ IF(D$2 >= 7, Daily!D9 , 0)
This works fine, as long as I only want to tally up anywhere from 1-7 days. But I would like to upgrade this spreadsheet so that it can tally an arbitrary number of of days without having to modify the equation. I'd like to be able to be able to tally, for example, 100 days without
having to create an equation with 99 IF statements in it.

Offset is really handy. It returns a range of cells relative to a given reference. In your example you'd use:
=SUM(OFFSET(Daily!D15,0,0,-D$2,1))
To explain: Starting with the reference Daily!D15, we shift 0 rows and 0 columns, then select a range with D$2 rows and 1 column. Since -D$2 is negative, the range is expanded upward, rather than downward.
The last two arguments ('height' and 'width') are optional -- if left out, the range returned will have the same dimensions as the range we provided. In fact, in this case we could have used =SUM(OFFSET(Daily!D15,0,0,-D$2)), and the width of 1 column would have been implied by the width of Daily!D15. For readability, though, I like to include both dimensions or neither.

Related

Explain the CEILING function for dates

I have a formula which gives me different dates depending on the multiplier. I am not sure how it works though, except that it rounds a date. The formula is the following:
=DATE(YEAR($L$4),CEILING(MONTH($L$4),2),0)
So imagine today´s date is 18/08/2015 in cell L4. If i change the multiplier i get the following results:
=DATE(YEAR($L$4),CEILING(MONTH($L$4),2),0) = 31/07/2015
=DATE(YEAR($L$4),CEILING(MONTH($L$4),3),0) = 31/08/2015
=DATE(YEAR($L$4),CEILING(MONTH($L$4),4),0) = back again to 31/07/2015.
Why does this happen? Why does it go back to 31/07/2015 if the multiplier increases to 4?
=CEILING('number', 'multiple') returns a multiple of the 'multiple' that is nearest to the 'number'.
Since MONTH evaluates to 8 or August, you would have =CEILING(8, 3), which evaluates to 9, because 9 is the multiple of 3 closest to 8. 2 and 4 as multiples will both return 8.
=DATE(2015, 9, 0) will return the last date of the previous month, because the day is 0.
If you tried your formula with CEILING(MONTH($L$4), 10), you would get 31/9/2015, because the multiple of 10 nearest to 8 is 10, and the DATE formula will end up looking like =DATE(2015, 10, 0) which evaluates to 31/9/2015.
As a side note, the button below is very helpful in analyzing the formulas that you select in the excel chart.

Sum minimum of corresponding column values - limited to date range

I have a data set with four columns: Start Date, End Date, Scheduled Qty, and Actual Quantity:
Start Date End Date Scheduled Qty Actual Qty
04/13/15 04/17/15 35 19
04/20/15 04/24/15 35 42
04/27/15 05/01/15 35 41
05/04/15 05/08/15 35 41
I want to find the total actual, except when the actual exceeds the scheduled I want to used the scheduled number.
In an already answered question (Sum minimum of corresponding column values) I found an array formula that works to total the lesser values of each row for the Qty columns (quotes used to display the less than symbol):
=SUM(IF(C1:C4"<"D1:D4, C1:C4, D1:D4))
This gives me a total for my whole range, but now I'd like to limit it to a date range such as end dates within a given month. I've used SUMIFS in other situations to look at my end dates and only sum data that falls within a given month, but I'm not figuring out how to combine that idea with the one from the array formula.
Any ideas how to make this happen? I'm working in Excel 2013.
Here's an extension of chancea's approach:
Excel's SUM function (and AVERAGE, STDEV, etc.) have the useful behavior of "skipping" over text values. For example AVERAGE(3, 4, "dog", 5) returns 4. You can leverage this behavior nested IF's inside a sum. For instance,
=SUM(IF(MONTH(B1:B4)=4,IF(C1:C4<D1:D4,C1:C4,D1:D4),"NO"))
will sum
(a) the lesser of scheduled and actual
(b) when the month is 4
This is accomplished by nested IF's. The outer IF is
IF(MONTH(B1:B4)=4,...,"NO") [if month <> 4, IF returns text ("NO"), which SUM skips]
The inner IF is the same one that chancea showed.
You can nest as many tests/filters for your data as you need
To add criteria onto an array function most of the time you are just going to be multiplying the extra condition onto whatever set of conditions you already have.
The reason why this works is simply because we start with our list of numbers we want to sum:
IF(C1:C4<D1:D4, C1:C4, D1:D4) => { 19, 35, 35, 35 }
Then we multiply 1's or 0's to each of the values that meet the extra criteria.
So for an example lets say that we only want to check the quantity of values that have an end date within the month of 4. We can do that with:
MONTH(B1:B4)=4
Just multiply that criteria in the SUM function to basically create a boolean and condition for that criteria:
=SUM(IF(C1:C4<D1:D4, C1:C4, D1:D4)*(MONTH(B1:B4)=4))
= SUM({ 19, 35, 35, 35 } * { 1, 1, 0, 0}) => SUM( {19, 35, 0, 0} ) = 54
This is the same if we want to add n condition's:
=SUM(IF(C1:C4<D1:D4, C1:C4, D1:D4)*(MONTH(B1:B4)=4)*(`Condition2`)*(`Condition3`)...)
You can use any formula or operator that returns a true/false value within your conditions.
Such as: = > < >= <= <> IF(...,TRUE)
To add OR logic as a criteria you need to use addition instead of multiplication and then group them inside a (..)>0 like this:
(((Or_Condition1)+(Or_condition2)+...+(Or_conditionN))>0)
So if we wanted to sum months 4 OR 5 we can write:
=SUM(IF(C1:C4<D1:D4, C1:C4, D1:D4)*(((MONTH(B1:B4)=4)+(MONTH(B1:B4)=5))>0))

Excel Formula to SUMIF date falls in particular month

I have excel data in following format.
Date Amount
03-Jan-13 430.00
25-Jan-13 96.00
10-Jan-13 440.00
28-Feb-13 72.10
28-Feb-13 72.30
I need to sum the amount field only if the month lies in Jan Month.
What i have tried is ,
=SUMIF(A2:A6,"MONTH(A2:A6)=1",B2:B6)
But it returns,
0
What i need is,
Following values to be summed, 430.00 + 96.00 + 440.00 = 966.00
Try this instead:
=SUM(IF(MONTH($A$2:$A$6)=1,$B$2:$B$6,0))
It's an array formula, so you will need to enter it with the Control-Shift-Enter key combination.
Here's how the formula works.
MONTH($A$2:$A$6) creates an array of numeric values of the month for the dates in A2:A6, that is, {1, 1, 1, 2, 2}.
Then the comparison {1, 1, 1, 2, 2}= 1 produces the array {TRUE, TRUE, TRUE, FALSE, FALSE}, which comprises the condition for the IF statement.
The IF statement then returns an array of values, with {430, 96, 400.. for the values of the sum ranges where the month value equals 1 and ..0,0} where the month value does not equal 1.
That array {430, 96, 400, 0, 0} is then summed to get the answer you are looking for.
This is essentially equivalent to what the SUMIF and SUMIFs functions do. However, neither of those functions support the kind of calculation you tried to include in the conditional.
It's also possible to drop the IF completely. Since TRUE and FALSE can also be treated as 1 and 0, this formula--=SUM((MONTH($A$2:$A$6)=1)*$B$2:$B$6)--also works.
Heads up: This does not work in Google Spreadsheets
=Sumifs(B:B,A:A,">=1/1/2013",A:A,"<=1/31/2013")
The beauty of this formula is you can add more data to columns A and B and it will just recalculate.
=SUMPRODUCT( (MONTH($A$2:$A$6)=1) * ($B$2:$B$6) )
Explanation:
(MONTH($A$2:$A$6)=1) creates an array of 1 and 0, it's 1 when the
month is january, thus in your example the returned array would be [1, 1, 1, 0, 0]
SUMPRODUCT first multiplies each value of the array created in the above step with values of the array ($B$2:$B$6), then it sums them. Hence in
your example it does this: (1 * 430) + (1 * 96) + (1 * 440) + (0 * 72.10) + (0 * 72.30)
This works also in OpenOffice and Google Spreadsheets

Excel split given number into sum of other numbers

I'm trying to write formulae that will split a given number into the sum of 4 other numbers.
The other numbers are 100,150,170 and 200 so the formula would be
x = a*100+b*150+c*170+d*200 where x is the given number and a,b,c,d are integers.
My spreadsheet is set up as where col B are x values, and C,D,E,F are a,b,c,d respectively (see below).
B | C | D | E | F |
100 1 0 0 0
150 0 1 0 0
200 0 0 0 1
250 1 1 0 0
370 0 0 1 1
400 0 0 0 2
I need formulae for columns C,D,E,F (which are a,b,c,d in the formula)
Your help is greatly appreciated.
UPDATE:
Based on the research below, for input numbers greater than 730 and/or for all actually divisible input numbers use the following formulas:
100s: =CHOOSE(MOD(ROUNDUP([#number]/10;0); 20)+1;
0;1;1;0;1;1;0;1;0;0;1;0;0;1;0;0;1;0;1;1)
150s: =CHOOSE(MOD(ROUNDUP([#number]/10;0); 10)+1;
0;0;1;1;0;1;1;0;0;1)
170s: =CHOOSE(MOD(ROUNDUP([#number]/10;0); 5)+1;
0;3;1;4;2)
200s: =CEILING(([#number]-930)/200;1) +
CHOOSE(MOD(ROUNDUP([#number]/10;0); 20)+1;
4;1;2;0;2;3;1;3;1;2;4;2;3;0;2;3;0;3;0;1)
MOD(x; 20) will return numbers 0 - 19, CHOOSE(x;a;b;...) will return n-th argument based on the first argument (1=>second argument, ...)
see more info about CHOOSE
use , instead of ; based on your Windows language&region settings
let's start with the assumption that you want to preferably use 200s over 170s over 150s over 100s - i.e. 300=200+100 instead of 300=2*150 and follow the logical conclusions:
the result set can only contain at most 1 100, at most 1 150, at most 4 170s and unlimited number of 200s (i started with 9 170s because 1700=8x200+100, but in reality there were at most 4)
there are only 20 possible subsets of (100s, 150s, 170s) - 2*2*5 options
930 is the largest input number without any 200s in the result set
based on observation of the data points, the subset repeats periodically for
number = 740*k + 10*l, k>1, l>0 - i'm not an expert on reverse-guessing on periodic functions from data, but here is my work in progress (charted data points are from the table at the bottom of this answer)
the functions are probably more complicated, if i manage to get them right, i'll update the answer
anyway for numbers smaller than 740, more tweaking of the formulas or a lookup table are needed (e.g. there is no way to get 730, so the result should be the same as for 740)
Here is my solution based on lookup formulas:
Following is the python script i used to generate the data points, formulas from the picture and the 60-row table itself in csv format (sorted as needed by the match function):
headers = ("100s", "150s", "170s", "200s")
table = {}
for c200 in range(30, -1, -1):
for c170 in range(9, -1, -1):
for c150 in range(1, -1, -1):
for c100 in range(1, -1, -1):
nr = 200*c200 + 170*c170 + 150*c150 + 100*c100
if nr not in table and nr <= 6000:
table[nr] = (c100, c150, c170, c200)
print("number\t" + "\t".join(headers))
for r in sorted(table):
c100, c150, c170, c200 = table[r]
print("{:6}\t{:2}\t{:2}\t{:2}\t{:2}".format(r, c100, c150, c170, c200))
__________
=IF(E$1<740; 0; INT((E$1-740)/200))
=E$1 - E$2*200
=MATCH(E$3; table[number]; -1)
=INDEX(table[number]; E$4)
=INDEX(table[100s]; E$4)
=INDEX(table[150s]; E$4)
=INDEX(table[170s]; E$4)
=INDEX(table[200s]; E$4) + E$2
__________
number,100s,150s,170s,200s
940,0,0,2,3
930,1,1,4,0
920,0,1,1,3
910,0,0,3,2
900,1,0,0,4
890,0,1,2,2
880,0,0,4,1
870,1,0,1,3
860,0,1,3,1
850,1,1,0,3
840,1,0,2,2
830,0,1,4,0
820,1,1,1,2
810,1,0,3,1
800,0,0,0,4
790,1,1,2,1
780,1,0,4,0
770,0,0,1,3
760,1,1,3,0
750,0,1,0,3
740,0,0,2,2
720,0,1,1,2
710,0,0,3,1
700,1,0,0,3
690,0,1,2,1
680,0,0,4,0
670,1,0,1,2
660,0,1,3,0
650,1,1,0,2
640,1,0,2,1
620,1,1,1,1
610,1,0,3,0
600,0,0,0,3
590,1,1,2,0
570,0,0,1,2
550,0,1,0,2
540,0,0,2,1
520,0,1,1,1
510,0,0,3,0
500,1,0,0,2
490,0,1,2,0
470,1,0,1,1
450,1,1,0,1
440,1,0,2,0
420,1,1,1,0
400,0,0,0,2
370,0,0,1,1
350,0,1,0,1
340,0,0,2,0
320,0,1,1,0
300,1,0,0,1
270,1,0,1,0
250,1,1,0,0
200,0,0,0,1
170,0,0,1,0
150,0,1,0,0
100,1,0,0,0
0,0,0,0,0
Assuming that you want as many of the highest values as possible (so 500 would be 2*200 + 100) try this approach assuming the number to split in B2 down:
Insert a header row with the 4 numbers, e.g. 100, 150, 170 and 200 in the range C1:F1
Now in F2 use this formula:
=INT(B2/F$1)
and in C2 copied across to E2
=INT(($B2-SUMPRODUCT(D$1:$G$1,D2:$G2))/C$1)
Now you can copy the formulas in C2:F2 down all columns
That should give the results from your table

How do I create a formula for "if x ≥ then multiply by y" and so on?

I've only used Excel for the basics.
I want to multiply the contents of the cell by a different number depending on the value in the cell. I have these ranges:
0 - 499, then multiply by 0
500 - 999, then multiply by 1
1000 - 1499, then multiply by 4
I was able to figure out the formula =IF(C21>=10000,C21*1) for if a value in cell C21 is greater than or equal to 10,000, but I don't see how to extend that to multiple ranges.
How can I write a formula to handle the multiple ranges I've listed above?
You can use another IF in the ELSE part of the expression, evaluation will stop as soon as a TRUE condition is met;
=A1 * IF(A1 < 500, 0, IF(A1 < 1000, 1, IF(A1 < 1500, 4, 0)))
(The last 0 is the case when the value is > 1499)
You can use nested IF statements for doing ranges:
=IF(C21>=500,IF(C21>=1000,IF(C21<1500,C21*4,'dontknowwhatyouwanthere'),C21*1),0)
How about nested Ifs?
=IF(A1<1000;IF(A1<500;+A1*0;+A1*1);+A1*4)
Then you've got:
If it's less than 1000 another if:
If it's less than 500 You do the " * 0 "
If it's not (you are at 500-999 range, from the first if) You do the " * 1 "
Else it's not less than 1000:
You have your " * 4 "
I used this formula and it worked:
=V4*IF(V4<600,0.2,IF(V4<800,0.22,IF(V4<1000,0.25,IF(V4<10000,0.27))))

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