Whenever we deal with large amounts of data, one of the goals for analysis is,
How is this data distributed?
This is where a Box plot can help. According to Wikipedia, a box plot is a convenient way of graphically depicting groups of numerical data through their five-number summaries: the smallest observation (sample minimum), lower quartile (Q1), median (Q2), upper quartile (Q3), and largest observation (sample maximum) [more]
Quartile?!? What is that like?
When we say $ 39,000 is the lower quartile of salaries paid in Acme inc. it means, 25% of people make less than or equal to $39,000
Like that Median (Q2) means half the samples are lower than median & the other are more than median.
Example Box Plot
Here is an example box plot depicting salaries of all analysts in USA as per our recent Excel Salary Survey.

The box shows distribution of middle half of data (salaries) while the lines (called as whiskers) show minimum and maximum salaries.
As you can see, 50% of the analysts make between $46,000 to $75,000 while the min is $10k and max is $160k.
Why use Box plots?
Box & whisker plots are an excellent way to show distribution of your data without plotting all the values. They are easy to understand. We can use them whenever we have lots of data or dealing with samples drawn from larger population.
Creating Box plots in Excel – 9 step tutorial
Despite their utility, Excel has no built-in option to make a box plot. Of course you can make a 3D pie chart or stacked horizontal pyramid chart. Lets save them for your last day at work and understand how to create box plots in Excel.
Step 1: Calculate the number summaries
Assuming your data is in list use formulas MIN, MAX & PERCENTILE to calculate summaries like below:

To calculate 25th percentile (Q1) use = PERCENTILE(list, 25%)
Step 2: Make a bar chart from Q1, Median & Q3
Just select the 25th percentile, median & 75th percentile values and create a bar chart.Make sure that your chart shows 3 different colored bars not 3 bars in one color.

Step 3: Set series overlap to 100%
Select any bar, press CTRL+1 (right click > format series) and adjust series overlap to 100%

Step 4: Adjust series order so that you can see all the bars
If you cannot see all the bars, right click on chart, click on “Select data”.
Now, adjust the series order using arrow keys so that you can see all the bars. See this demo:

Step 5: Make 25th percentile (Q1) bar invisible
Select the bar corresponding to Q1 and fill it with white color. If you make it transparent, it will not work. So make it all white.
Step 6: Add error bars to Q1 & Q3 series
Just select Q1 (25th percentile) bar and add error bar (any type) from layout ribbon.

Repeat for Q3 series as well.

Step 7: Set up error values in your data
Add an extra column in your data area and use simple formulas to calculate error values, like below:

Step 8: Set up custom error values for Q1 & Q3

Select the error bar for Q1 (25th percentile) and,
- Press CTRL+1 to format them
- Enable only minus (negative) error bar with no cap.
- Select Custom as error amount and point to the calculated value.
Repeat for Q3, but choose positive error bar instead.
Step 9: Format the box plot to your taste
Remove any legend, axis, labels that you do not need. Change colors to suit your taste and mood. Make the whiskers subtle and knock off the grid lines. You are good to go.

Making Box plots interactive
Since box plots are very useful to understand distribution of values, we use them in dashboards etc. Naturally, you are interested to know how values are distributed for various things.
In this example, we may want to know how analyst salaries compare with manager salaries.
To make things complicated, we have 10 different job types, thus enabling 45 possible comparisons (10c2)
This is where interactive box plots can help. See this demo to understand:
Interactive Box plot in Excel – a Demo

How to make interactive box plot in Excel
Construction of box plot is same as mentioned above. The difference is in adding interactivity.
Step 1: Use combo box form controls to capture comparison criteria
Excuse the tongue twister. Using Developer ribbon > Insert > Form controls, add 2 combo box controls and point them to the list of job types.
Lets assume that these combo boxes are linked to cells D1, D2.
[Related: Introduction to Excel Form Controls]
Step 2: Calculate 5 number summaries using MINIF, MAXIF and PERCENTILEIF formulas
Don’t rush to type the formulas yet. There is no such formula as MINIF (or MAXIF or PERCENTILEIF). Assuming your list of jobs are in joblist, write
=MIN(IF(joblist=”Analyst”, list_of_values,””))
and press CTRL+Shift+Enter
Using MAX(IF(…)) and PERCENTILE(IF(…)) you can calculate remaining 4 summaries.

Step 3: Based on combo box selection, fetch any two sets of values
Using INDEX formula, we can fetch values corresponding to each combo box selection to a set of cells, like this:

Step 4: Connect these values to your box plots
That simple!
Step 5: Format and interact
Format the charts. Play with combo boxes to interactively compare one set of distribution with another. Show it to your boss or client and see them fall off a chair.
Download Box plot tutorial workbook
Click here to download the workbook containing these examples. Play with it. Check out various formulas and chart settings. Learn.
Do you use Box plots?
I love box plots. I have used them several times. Few examples are here: Excel age survey results, Gantt box chart and more.
In our Excel salary survey contest too, many people have used box plots to clearly compare compensation composition. Checkout the entries by Aditya, Allred, Anchalee, Anup, Bryan, Jeanmarc, Joerg, Kostas, Luke, Michael, Nathan, Sergey and Vishwanath. Especially Jeanmarc used interactive version of box plots to allow comparison on demand.
What about you? Do you use Box plots often? How do you prepare them? What is your experience like? Please share using comments.
Create Box plots often? Use Jon’s Add-in
If you need to create box plots often and find the above process tedious, then please consider getting a copy of Jon Peltier’s Box Plot add-in for Excel. It works like a charm and produces what you need. All in a few clicks. Click here to know more.
PS: Link to Jon’s add-in is an affiliate link. It means, when you buy it from Jon thru this link, I will get a few bucks too. I recommend it because I know it is awesome and perfect for box plots.












12 Responses to “29 Excel Formula Tips for all Occasions [and proof that PHD readers truly rock]”
Some great contributions here.
Gotta love the Friday 13th formula 😀
Great tips from you all! Thanks a lot for sharing! bsamson, particularly you helped me on a terribly annoying task. 🙂
(BTW, Chandoo, it's not exactly "Find if a range is normally distributed" what my suggestion does. It checks if two proportions are statistically different. I probably gave you a bad explanation on twitter, but it'd be probably better if you fix it here... 🙂 )
Great compilation Chandoo
For the "Clean your text before you lookup"
=VLOOKUP(CLEAN(TRIM(E20)),F5:G18,2,0)
I would like to share a method to convert a number-stored-as-text before you lookup:
=VLOOKUP(E20+0,F5:G18,2,0)
@Peder, yeah, I loved that formula
@Aires: Sorry, I misunderstood your formula. Corrected the heading now.
@John.. that is a cool tip.
Hey Chandoo,
That p-value formula is really great for a statistics person like me.
What a p-value essentially is, is the probability that the results obtained from a statistical test aren't valid. So for example, if my p value is .05, there's a 5% probability that my results are wrong.
You can play with this if you install the Data Analysis Toolpak (which will perform some statistical tests for you AND provide the P Value.)
Let's say for example I've got two weeks of data (separated into columns) with the number of hours worked per day. I want to find out if the total number of hours I worked in week two were really all the different than week one.
Week1 Week2
10 11
12 9
9 10
7 8
5 8
Go to Data > Data Analysis > T-Test Assuming Unequal Variances > OK
In the Variable 1 Box, select the range of data for week 1.
In the Variable 2 Box, select the range of data for week 2.
Check "Labels"
In the Alpha box, select a value (in percentage terms) for how tolerant you are of error.
.05 is the general standard; that is to say I am willing to accept a 95% level of confidence that my result is accuarate.
Select a range output.
Excel calculates a number of results: Average (mean) for each week's data, etc.
You'll notice however that there are two P Values; one-tail and two-tail. (one tail tests are for > or .05), the number of hours I worked in week two is statistically equivalent to the number of hours I worked in week one.
So here’s a way you might want to use this. You put up a new entry on your blog. You think it’s the best entry ever! So you pull your webstats for this week and compare it to last week. You gather data for each week on the length of time a visitor spends on your website. The question you’re trying to prove statistically is whether there’s an average increase in the amount of time spent on your website this week as compared to last week (as a result of your fancy new blog post). You can run the same statistical test I illustrated above to find out. Incidentally, it matters very little to the stat test whether the quantity of visitors differs or not.
Anyhow, the Data Analysis toolpack doesn't perform a lot of stat tests that folks like me would like to have access to. In those cases I have to either use different software, or write some very complicated mathematical formulas. Having this p-value formula makes my life a LOT easier!
Thanks!
Eric~
Fantastic stuf..One line explanation is cool.
Thanks to all the contributors
OS
Take FirstName, MI, LastName in access (you can fix it to work in excel) capitalize first letter of each and lowercase the rest and add ". " if MI exists then same for last name:
Full Name: Format(Left([FirstName],1),">") & Format(Right([FirstName]),Len([FirstName])-1),"") & ". ","") & Format(Left([LastName],1),">") & Format(Right([LastName],Len([LastName])-1),"<")
I teach excel, access, etc etc for a living and i have my access students build this formula one step at a time from the inside out to show how formulas can be made even if it looks complicated. Yes I know I could just do IsNull([MI]) and reverse the order in the Iif() function but the point here is to nest as many functions as possible one by one (also I illustrate how it will fail without the Not() as it is)
Extract the month from a date
The easiest formula for this is =MONTH(a1)
It will return a 1 for January, 2 for February etc.
if in a column we write the value of total person for eg. 10 if we spent 1.33 paise each person then how we get total amount in next column and the result will in round form plzzzzz solve my problem sir................... thank u
@Anjali
If the value 10 is in B2 and 1.33 paise is in C2 the formula in D2 could be =B2*C2
If the values are a column of values you can copy the formula down by copy/paste or drag the small black handle at the bottom right corner of cell D2
kindly share with me new forumulas.
How to convert a figure like 870.70 into 870 but 871.70 into 880 using excel formula ? Please help.