A week ago Tarun asked a question on the Chandoo.org Forums.
“I have got multiple names in each row and would like to have what name is repeated maximum number of times and how many times?
Eg. Ram, Amita, Obama, Ram, Willi, Ram, Amita, Chandoo, Ram, Willi
Ans: Ram (4 times)”
(The list and answers are edited)
Chandoo responded with a neat Array Formula:
=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0)) &
” (“&MAX(COUNTIF(B2:K2,B2:K2))&” times)”
Lets take a look inside this and see how it works
THE EXAMINATION
The formula has two parts separated by a &
=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))
and
&
and
” (“&MAX(COUNTIF(B2:K2,B2:K2))&” times)”
Each part is separate and can be used independently, the & character simply joins the two parts together to make a single string which answers Tarun’s question, Ram (4 times).
Now, lets look at each part.
You can follow along with this forensic examination by downloading the Sample Data File.
=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))
This is a single Index Function with 2 components, being:
a Range B2:K2 and
a Count MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0)
Typically an Index Function uses 3 components
=Index(Array, Row Number,[Column Number])
In this example the Range is a single Row, B2:K2
And so using the Counter in the Row spot has the effect of counting down the first Column and then continuing at the top of the second Column etc
So the formula used:
=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))
Is equivalent to:
=INDEX(B2:K2,1,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))
Now lets jump ahead to the COUNTIF(B2:K2,B2:K2) bit
If you copy =COUNTIF(B2:K2,B2:K2) to a cell, Press F2 and then evaluate the Formula using F9
You will see that it returns an array. The array is highlighted by the squiggly brackets { } ‘s
={4,2,1,4,2,4,2,1,4,2}
This is the heart of the solution.
What this is showing us is that for each position in the range B2:K2, the count of how many times that cells value occurs in the range B2:K2
So the formula
=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))
Is equivalent to
=INDEX(B2:K2,MATCH(MAX({4,2,1,4,2,4,2,1,4,2}), {4,2,1,4,2,4,2,1,4,2},0))
Looking at the MAX({4,2,1,4,2,4,2,1,4,2}) part, this simplifies to 4, the Maximum value of the array (Remember this line, we’ll come back to it later).
So our simplified formula is now: =INDEX(B2:K2,MATCH(4, {4,2,1,4,2,4,2,1,4,2},0))
Now looking at the MATCH(4, {4,2,1,4,2,4,2,1,4,2},0) part of the equation
You can see that Match is looking for the value 4, in the array {4,2,1,4,2,4,2,1,4,2}, which is the First value , Position 1, the 0 requesting that an exact match is found.
So that MATCH(4, {4,2,1,4,2,4,2,1,4,2},0) is equivalent to 1
So our equation =INDEX(B2:K2,MATCH(4, {4,2,1,4,2,4,2,1,4,2},0))
Is now simplified even more to =INDEX(B2:K2, 1)
Index will then look in B2:K2 and will return the first cell or “Ram” in this example.
& “(” & MAX(COUNTIF(B2:K2,B2:K2)) & ” times)”
The second part of the equation is responsible for counting the number of Times Ram occurs and displaying it with some text.
& “(” & MAX(COUNTIF(B2:K2,B2:K2)) & ” times)”
The parts displayed in Red above add the text ( and times) to the Count
Remember the section MAX(COUNTIF(B2:K2,B2:K2)) which was explained above and evaluates to 4 in this case
So the & “(” & MAX(COUNTIF(B2:K2,B2:K2)) & ” times)”
Part evaluates to: ( 4 times)
With the initial & adding it to the text of the first part Ram for the final result – Ram ( 4 times)
LEARN MORE ABOUT ARRAY FORMULAS
You can learn more about Array Formulas at the following links:
http://www.cpearson.com/excel/ArrayFormulas.aspx
http://www.databison.com/index.php/excel-array-formulas-excel-array-formula-syntax-array-constants/
http://office.microsoft.com/en-us/excel-help/introducing-array-formulas-in-excel-HA001087290.aspx
Chandoo.org has several articles on Array Formulas
http://chandoo.org/wp/tag/array-formulas/
FORENSIC FORMULAS
Would you like to see more “Forensic” examination of complex formulas ?
Let us know in the comments below and it may become a regular section at Chandoo.org.
15 Responses to “Make a Bubble Chart in Excel [15 second tutorial]”
Noooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo!!
Whyyyyyyyy?
The idea is to tell how to make a bubble chart. I got an e-mail from a reader recently asking how the scatter bubble is made. So I thought a 15 second tutorial would be a good idea to show this.
Did that email go "Dear Chandoo, I know that you scorn bubble charts, but if I don't do one in Excel for my boss then he'll fire my sorry ass, and my children will have to be sold for medical experiments in order for me to be able to afford the upgrade path to Excel 2010"?
If so, fair enough...it's all in the greater good 😉
Chandoo,
I am using excel 2003 and it is not working. The x axis is not the one that I enter in x axis column. Please help! Thanks.
Sorry, after few attempts, I managed to get the right result. I shouldn't select the title (header) of the table and select only the data to produce the right bubble chart.
What's wrong with bubble charts? Is there a better method for displaying scatter plots with lots of overlapping data points? Don't tell me you'd rather jitter!
@Sanwijay: Cool.
@Precious Roy: There is nothing wrong with bubble charts. Infact, it is the only way to show 3 dimensional data (x,y and sizes) without confusing your audience. Jeff is worried that people might misuse the chart. As with any chart, bubbles also have a place and time for using them.
I recommend using bubble charts to show relative performance various products in several regions and similar situations.
Also, human eye is notorious in wrongly estimating the bubble sizes (as we have to measure areas). See http://chandoo.org/wp/2009/07/28/charting-lessons-from-optical-illusions/
We can partially improve bubble charts by adding data labels, but if you have too many bubbles, the labels will clutter the chart and make it look busy.
I can't seem to find a way to plot more than ten bubbles on a chart and need to know how to add more
@KW.. why would such a thing happen. I am sure you can add more bubbles that that. Can you tell us exactly what you are doing...
Example table:
A B C (size)
Me: 25 30 15%
Him: 30 22 11%
Her: 12 30 20%
I am trying to make a bubble chart where the Y axis is A, the X axis is B, and the size of the bubble is C. There should be only 3 bubbles. I keep ending up with six (with the labels being only "Me" and "Her"). My goal is to have three bubbles, one representing each person. Clearly I am doing something wrong. Can you help explain...?
Hi,
I wanted to add data labels to the bubbles. Each bubble represents a different company name. Excel allows me to add the size, legend, x axis values and y axis values. How do I add instead- Company A, B, C, D for the bubbles?
youon you have to choice every data for every company..
ex:create bubble for A company,after that click right> add data label> adjust data labels :format data labels and choose : series name.
i hop u will succeed .
[...] we create a bubble chart with 2 bubbles. 1 for the actual mustache & 1 for target [...]
If we want bubble size to be controlled by one column, but the bubble labels to be controlled by another column, how can this be achieved?
many thanks!!!!