# How to Make a Frequency Distribution Table & Graph in Excel?

You can make a histogram or frequency distribution table in Excel in a good number of ways. I have summarized total 7 methods in this article.

In addition, I have created an **Excel Template** [I named it **FreqGen**] to make frequency distribution table automatically. Just input data in the template and get frequency distribution table automatically.

Here are two of my relevant articles on Excel histogram:

**Related:** How To Make A Histogram In Excel Using Data Analysis ToolPak

**Related:** Stock Return Analysis Using Histograms & 4 Skewness Of Histograms

Except for these 7 methods, if you know any other technique, let me know in the comment section.

Table of Contents

- 1 Terminology of a Frequency Distribution Table
- 2 Prepare Your Data at First
- 3 1: Use My FreqGen Excel Template to build a histogram automatically
- 4 2: Frequency Distribution Table Using Pivot Table
- 4.1 Step 1: Inserting Pivot Table
- 4.2 Step 2: Place the Score field in the Rows area
- 4.3 Step 3: Place the Student field in the Values area
- 4.4 Step 4: Grouping to get Ten-points Bin or Range
- 4.5 Step 5: Getting the Grouped Pivot Table
- 4.6 Step 6: Showing Items with No Data in the Pivot Table
- 4.7 Histogram/Frequency Distribution Table & Graph

- 5 3. Histogram Using COUNTIFS () function
- 6 4. Histogram with Frequency () Function
- 7 5. Frequency distribution with Frequency () & Index () functions
- 8 6. Histogram with SUM () and IF () Functions
- 9 7. Using SUMPRODUCT () Function to make a histogram
- 10 Download Working File
- 11 Wrapping Up

## Terminology of a Frequency Distribution Table

Before going into the discussion of how to make a frequency distribution table in Excel, at first I want to introduce you to the terminology of frequency distribution table.

Look at the following numbers. These are the math scores of 20 students in an exam.

40, 43, 54, 62, 88, 31, 94, 83, 81, 75, 62, 53, 62, 83, 90, 67, 58, 100, 74, 59

Just think yourself as the teacher of these students.

You have to follow the following grading policy to grade the students:

Numerical Scores |
Letter Grade |

>=80 | A |

70-79 | A- |

60-69 | B |

50-59 | C |

40-49 | D |

<40 | F |

Your task is to categorize the above scores to find out –

- How many students got A
- How many students got A-
- How many students got B
- How many students got C
- How many students got D
- And how many students failed (grade F) in the exam.

As the number of students is only 20, you can make a frequency distribution table manually without using any formula or sophisticated tool (for example Pivot Table) in Excel. But if you are a statistician or work with big data, you might have to deal with thousands of numbers if not millions of numbers. And one thing is sure: you cannot avoid the errors that might arise from manual process.

In the following image, you see I have made a frequency distribution table. I did it manually and it is just to introduce you to the terms related to a frequency distribution table.

In the above image, there are 6 bins. They are >=80, 70-79, 60-69, 50-59, 40-49, and < 40.__Bin:__The size of the first bin (>=80) is 21. As from 80 to 100, there are 21 numbers. The size of the second bin (70-79), third bin (60-69), fourth bin (50-59), and fifth bin (40-49) is 10 as there are 10 numbers in every bin. The size of the last bin (<40) is 40 as from 0 to 39 there are 40 values.__Bin Size:__Frequency is how many values are counted for a bin. For example for bin 70-79 we have found 2 scores. So the frequency of bin 70-79 is 2. For bin 50-59 we have found 4 scores. So the frequency of bin 50-59 is 4.__Frequency:__**Cumulative Frequency:**You get the cumulative frequency from standard frequency. On the above image you see there is a**Cumulative Frequency**column. The first frequency is 7, it is same as the standard frequency 7 on the left. Next cumulative frequency is 9. 9 is found summing standard frequency 7 and 2 (7+2=9). In the same way, you can find next cumulative frequency 13 (7+2+4), next one 17 ( 7+2+4+4), next cumulative frequency 19 ( 7+2+4+4+2) and the last one 20 ( 7+2+4+4+2+1).

So, you now know the terminologies related to a frequency distribution table.

## Prepare Your Data at First

Before you make a frequency distribution table in Excel, you have to prepare your data in the following ways:

- At first find out the lowest and highest value from your data set. You can use Excel
**MIN ()**and**MAX ()**functions to find out the lowest and highest value respectively. Or you can use Excel features:**Sort Smallest to Largest**,**Sort Largest to Smallest**or**Sort**to sort data and then find out the smallest and largest values from a data set. I prefer you to use**MIN ()**and**MAX ().**These two will not change your data arrangement. - Then decide how many bins you want to create. It is better to keep your number of bins between 5 and 15.
**10 bins is ideal**. - Bin size will depend on how many bins you want to create. Say the lowest value is 23 and highest value is 252. And you want to make 10 bins. Your bin size will be: (Highest value – Lowest value)/Bin Size = (252-23)/10=22.9. 22.9 or 23 is not a good bin size. I make it 25.
- Now time to decide where from you will start your Bins. For the above example, it is not a good idea to start from number 23. Let’s start from number 21. So, the bins will be: 21-45, 46-70, 71-95, 96-120, 121-145, 146-170, 171-195, 196-220, 221-245, and 246-270. [if you use
**FreqGen**Excel template, you don’t have to worry about creating these bins manually, the template creates these bins for you automatically.] - In
**Frequency ()**function there is a parameter**bins_array**. To find that**bins_array**you have to use the highest value the bins. For example for the above bins, the**bins_array**will be: 45, 70, 95, 120, 145, 170, 195, 220, 245, and 270. Just remember this information. If you don’t understand, don’t worry. The concept will be clearer to you when you will finish this tutorial.

## 1: Use My Freq**Gen **Excel Template to build a histogram automatically

For making frequency distribution table automatically, I have created an Excel template. I have named it as **FreqGen**, short term of **Frequency Generator**. You have to just put your numbers, preferred bin size and starting number to build the frequency distribution table.

Look at the following image below:

You see from the image, in four steps you can make a frequency distribution table. The steps are:

- Enter the numbers into column B,
- Enter the number of bins that you want to create,
- Enter the perfect bin size and
- Enter the starting number.

When you will finish inserting all these values, you will get your frequency distribution table on the right side of the template. The table includes:

- The list of bins,
- The bins_array [bins_array is a parameter of Excel
**FREQUENCY ()**function], - The frequencies and
- The cumulative frequencies.

For example, I insert the below 20 numbers into column B, and I enter the bin size as 10.

20, 25, 65, 54, 50, 98, 75, 105, 63, 82, 68, 54, 25, 22, 35, 85, 47, 56, 38, 87

You see in the below image, immediate after I have entered the values into column B, **FreqGen** template suggests me an **Estimated Bin Size** as 8. It is not a good idea to take 8 as the bin size. I enter 10 as the **Perfect Bin Size** and as the **starting number** I enter 16.

So you get your Frequency distribution table like the below image. Here goes a little problem. You see the last bin is not necessary for us as it is showing the range from 106 to 115. But our highest value is 105.

In this type of case, you have to reenter the number of bins you want to create. So I reenter the number of bins as 9. Now you get the perfect result like the image below. Oho!

## 2: Frequency Distribution Table Using Pivot Table

Before follow along me with this whole blog post, download the working file from the link below:

But using a pivot table to create an Excel frequency distribution Table is the easiest way.

This part (way 2 of 7) is part of my mastering Excel pivot table series: Pivot Table Tutorials for Dummies: Learn Excel Pivot Table Step by Step

The following figure shows part of a table. The table has a record of 221 students and their test scores. Our goal is to separate the students according to a ten-point range (1–10, 11–20, and so on).

Creating a pivot table using this table is simple:

### Step 1: Inserting Pivot Table

Select any cell within the table. Click on the **Insert** tab → In the **Tables** group of commands choose **PivotTable** command → **Create PivotTable** dialog box appears.

In the **Create PivotTable** dialog box, the table name (in our case it is Table13) is selected under **Choose the data that you want to analyze**. So our PivotTable will analyze the data of Table13.

Under **Choose where you want the PivotTable report to be placed, **I select **Existing Worksheet** and I set **Sheet2!$F$2 **as the **Location **of the PivotTable report. See the image below:

Now click the OK button and you get a pivot table like the below image. On the left, you find the blank pivot table report and on the right, you see the **PivotTable Fields** task pane (I moved the task pane to place it by the side of the report).

**PivotTable Fields** task pane has two parts: on the left side you will find the **fields** of the table are listed (in our example only two fields **Score** and **Student**) and on the right side the **areas** where you can drag fields from the left side. There are four areas where you can drag fields from the left side: **Filters**, **Columns**, **Rows**, and **Values**.

### Step 2: Place the Score field in the Rows area

Place the **Score** field in the **Rows** area in the **PivotTable Fields** task pane. To place a field in an area, you have to take your mouse pointer over the field; the mouse pointer will turn into a four-headed black arrow icon. Now click on your mouse and drag until you reach your area. When you are over the area, just release the mouse.

Or you can right click on a field, and then can choose the area from the drop down.

### Step 3: Place the Student field in the Values area

In the above-mentioned way, now place the **Student** field in the **Values** area. Values of **Student** field are summarized by counts and you get a pivot table report like the below image:

### Step 4: Grouping to get Ten-points Bin or Range

Now we’re going to make a grouping of ten-point range (1–10, 11–20, and so on). Right-click on any value in the **Score** field column in the pivot table, a shortcut menu will appear. Choose **Group** from the options of the shortcut menu. Or while selecting a cell under **Row Labels** column in the PivotTable report, you can click on the **ANALYZE** contextual tab of **PIVOTTABLE TOOLS ⇒ **then in the **Group** group of commands choose the** Group Field** command. **Grouping** dialog box will appear.

### Step 5: Getting the Grouped Pivot Table

In the **Grouping** dialog box, you see the **Starting at** value is 27 as 27 is the lowest value of the score field. I want to make a frequency distribution as 21-30, 31-40, 41-50, and so on. So I enter 21 as the **Starting at** value. Suggested **Ending at** value is 100. It is okay. **By** value is 10 as each bin will have 10 values.

I click **OK** button. We shall get a pivot table report like the following figure:

### Step 6: Showing Items with No Data in the Pivot Table

By default, Excel will not display the values below 21 and above 100 as we have set Starting at value as 21 and Ending at value as 100. But you can force to display the empty bins. To display empty items, you have to right click on any cell under **Row Labels** and choose **Field Settings** from the shortcut menu. In the **Field Settings** dialog box, click the **Layout & Print** tab, and then select **Show Items with No Data**. The following figure will make you clear how to display items with no data.

But these step is just to show you a technique, you don’t need to show these empty bins when you work with frequency distribution table.

### Histogram/Frequency Distribution Table & Graph

To get a frequency distribution graph from the above frequency distribution table, at first select any cell within the table. Click on the **Insert** tab. In the **Charts** group of commands, you see there is command named PivotChart. Click on the action part of this command (the upper part), Insert Chart dialog box appears with the list of charts that you can create. I select **Clustered Column** chart and click OK.

When I have clicked the **OK** button of the **Insert Chart** dialog box, I have got a chart like the below:

Note:

We have used equal size range (1-10, 11-20, and so on) to create groups automatically in our example. If you don’t want to group the items in equal sized ranges, you can create your own groups. Say, you may want to assign letter grades (A+, A, B, C and so on) based on the students’ score . To do this type of grouping, select the rows for the first group, right-click, and then choose Group from the shortcut menu. Repeat these steps for each new group you want to create. Then change the default group names with more meaningful names. Know more about how to group items in a pivot table.

**One hour course on Excel 2016 Pivot Tables** (* 100% free*)

## 3. Histogram Using COUNTIFS () function

When **COUNTIF ()** function checks for one criterion, you can use **COUNTIFS ()** function to check multiple criteria.

__Syntax of COUNTIF () function:__ **COUNTIF (range, criteria)**

__Syntax of COUNTIFS () function:__ **COUNTIFS (criteria_range1, criteria1, [criteria_range2, criteria2], [criteria_range3, criteria3]…)**

If you don’t know how these two functions work, visit this link for COUNTIF () function and this link for COUNTIFS () function.

To show you how to make a frequency distribution table in Excel using **COUNTIFS ()** function I am going to use three examples.

Say your company surveyed 100 people to know two things:

- How many children each of the surveyees have
- And their yearly income.

You get a result like the following image:

Your boss ordered you to make two frequency distribution tables: one for **No. of Children** and another one for **Income (Yearly)**.

Before making frequency distribution, let’s give the ranges some unique names.

- The No. of Children range is B2: B101, I will name it as
**Children**. - And the Yearly Income range is C2: C101, I will name it as
**Income**.

If you don’t know how to create a named range, follow me:

You can name a range in many ways. I am going to use one of them.

- Click on the
**Formulas**tab → In the**Defined Names**group, click on the**Name Manager**Command →**Name Manager**Dialog box appears. - You see
**Name Manager**Dialog box is blank. It means you did not create any named range in your workbook. Click on the**New.****New Name**Dialog box appears. In the**Name**field, I type**Children**. As**Scope**workbook is selected.**Scope**workbook means you can use the name range**Children**from the whole workbook. In the**Comment**box, I don’t input anything. So it is blank. In the**Refers****to**field, I type**=Survey!$B$2:$B$101**. - If you click
**OK**, then cell range**$B$2:$B$101**will be named as**Children**. In the same way, I name range**$C$2:$C$101**as**Income**. So the**Name Manager**Dialog box will now have two names:**Children**and**Income**.

### Example #1 – Let’s find out the frequency distribution of No. Of Children Column

At first, I find out the lowest value and highest value of **No. Of Children** column. They are 0 and 5 respectively. To find out the lowest and highest value, use **MIN ()** and **MAX ()** functions respectively.

So for column **No. of Children,** there is no use of making a frequency distribution like 0-1, 2-3 and 4-5. I use straight 0, 1, 2, 3, 4, and 5 and use the following formula in cell **I3**: **=COUNTIFS (Children, “=”&H3)**

I copy the formula from cell **I3** to other cells (**I4: I8**). So you get frequency distribution like the below image:

### Get the Cumulative Frequency Distribution

On cell **J3** I input formula: **=I3**

On cell **J4** I input formula: **=J3+I4**

Now copy the formula from cell **J4** to other cells below (**J5: J8**)**. **So you get a cumulative frequency distribution table like below:

### Example #2 – Now let’s find out the frequency distribution of Income (Yearly) Column

The lowest and highest values of Income column is 20,000 and 180,000 respectively. Say you want to make a frequency distribution using the following bins:

- 50000 or less
- 50001 – 70000
- 70001 – 90000
- 90001 – 110000
- 110001 – 130000
- 130001 – 150000
- Over 150001

I input the above bins manually like the image below. I also define the **bins_array** values (you know the highest values of the bins make the **bins_array**. In the image, you see: the last bin has no highest value so the **bins_array** value for this bin is blank).

Of 7 bins, the first bin and last bin are of different size. Other bins from 2^{nd} to 6^{th} are of the same size. So we have to write different formulas for the first and last bin and one formula for other bins (from 2^{nd }to 6^{th} bin).

For the first bin, I write a formula in cell **J11** as **=COUNTIFS (Income, “<=”&I11)**

In the same way, for the last bin, I write a formula in cell **J17** as **=COUNTIFS (Income,”>150000″)**

In cell **J12** I write a formula as:** =COUNTIFS (Income, “>”&I11, Income, “<=”&I12)**

And I copy this formula (formula in cell **J12**) from cell **J13 to J16**. Now you get both regular and cumulative frequency distribution (I set the formula already) table like the below image.

So you are done.

### Example #3 – Now we shall create a frequency distribution from some text

Look at the following example. The **Names** column has total 50 names. Our first job is to list the unique names in a separate column. Next job is to find out the occurrences (frequencies) of the names in the column.

You can use the **Advanced **filter command in the **Data** ribbon to list the unique names in a separate column. If you don’t know how to do that, follow me:

- Click on the
**Data**tab. In the**Sort & Filter**group of commands click on the**Advanced**command.**Advanced Filter**dialog box appears. - Under
**Action**you will find two options:**Filter the list, in-place**, and**Copy to another location**. I select**Copy to another location**radio button. In the**List range**field, I input range**$A$1: $A$51**(including the column heading**Names**). - I will let
**Criteria range**as blank. In the**Copy to**field, I input**$C$2**. - And finally, I select the check box
**Unique records only**. After doing all the above things, you will get**Advanced Filter**dialog box like the image below: - Now click
**OK**You will get a list of unique records in cell**C2**like the image below.

**Now let’s find out the Frequency and Cumulative Frequency of these names**

Now it is very simple to find out the frequency of these names. On cell **D2** and **E2**, I input **Frequency** and **Cumulative Frequency** respectively.

On cell **D3** I input this formula: **=COUNTIF ($A$2: $A$51, C3)**

Then I copy this formula for other cells below. At the same time, I get the Cumulative Frequency Distributions [Image Below].

## 4. Histogram with Frequency () Function

I have used **FREQUENCY ()** function to create my **FreqGen Excel template**. FreqGen Excel Template makes frequency distribution automatically for you. If you want to check out, download it from here.

Let’s show you how to use **FREQUENCY ()** function to make frequency distribution in Excel. To narrate the process I shall use the **survey data** again that I have used in **way 3 of 7** part of this tutorial. If you forgot I want to remind you here again: your company surveyed 100 people to know their **no. of children** and **yearly income** and got data like the image below.

I have named **No. of Children** column as **Children** and **Income** **(Yearly)** column as **Income**. In this part of the tutorial, I shall calculate the frequency distribution of **Income (Yearly)** column. The lowest and highest values of **Income (Yearly)** column are 20,000 and 180,000 respectively. And I want to use the bins_array like the image below.

Before going into deep, at first let’s introduce you with the **FREQUENCY ()** function of Excel.

__Take a look at the syntax of FREQUENCY () function:__ **FREQUENCY (data_array, bins_array)**

**FREQUENCY ()** function has two arguments:

**data_array:**it might be an array or a range of cells for which you want to make frequency distribution. As we are going to find out the frequency distribution of Income (Yearly) column and we have named the data of this column as Income so the value of the data_array argument is**Income**.**bins_array:**these are the intervals into which you want to group of the values of data_array. You already know that the higher values of the intervals make the bins_array. In our example,**bins_array**is already created as shown in above image.

**Steps to create frequency distribution:**

- Select cell
**J3**to**J9**in the**survey**worksheet. - Now create this formula in the formula bar or in cell
**J3**:**=FREQUENCY (Income, $I$3:$I$8)** - Don’t press the
**ENTER**key on your keyboard. I have selected total 7 cells (from cell**J3**to**J9**) to input the above formula because I want to create an array formula. - To enter the formula as an array formula into cells
**J3**to**J9**, press**CTRL**+**SHIFT**+**ENTER**key simultaneously on the keyboard. - You will get the following frequency distribution table. You will also get cumulative frequency distribution table on the right side of the table.

So you are done. So simple 🙂

## 5. Frequency distribution with Frequency () & Index () functions

I learned this technique from **Charley Kyd** of ExcelUser.com. I will use Excel’s **Frequency ()** and **Index ()** functions. However, to understand this process, know very well:

- How Excel’s array formula works. Introduce yourself with Excel’s array formula using this link of cpearson.com.
- And how Excel’s
**Index ()**function works. Use this Microsoft office tutorial to learn about Index () function.

To use this method in creating frequency distribution, I have used again the **survey** data and I shall make a frequency distribution of **Income (Yearly)** column. In this method, I have to input an extra column into the frequency distribution table as you see in the image below (I have put it on the left of the table). The column (in the image the **‘#’** column) will show the serial number of the frequency distribution row.

Excel’s **Frequency ()** function internally generates an array. In cell **J3**, I enter this formula:

**=FREQUENCY (Income, $I$3:$I$8)**

You know to enter a formula as an array formula, you have to press **CTRL + SHIFT + ENTER** keys in the keyboard. But in this case, I don’t want to create an array formula. I just want to show you how the **Frequency ()** function generates an array internally. I just press **Enter** and the cell **J3** shows value 27.

Now select cell **J3** again and click anywhere on the formula in the formula bar. Now press the **F9** key in the keyboard. While your cursor is in the formula bar and within a formula and you press the **F9** key, the formula bar shows the value of the formula. You see an array as the image below: **= {27; 19; 20; 9; 15; 8; 2}**

The values in an array can be semi-colon separated or comma separated. When the values are semi-colon separated, their orientation in Excel sheet will be Vertical and when the values are comma separated, their orientation will be Horizontal.

So the cell **J3** is showing the value 27 (the first value of the array) but the formula is internally holding an array actually. The 1^{st} value of the array is 27, the 2^{nd} value of the array is 19 and so on.

So how do we use Index () function? Rewrite the formula in cell J3 in this way:

**=INDEX (FREQUENCY (Income, $I$3:$I$8), G3)**

Copy paste the formula from cell **J3** to **J9**. And you get your frequency distribution table with the cumulative frequency distribution.

So, you are done. You can hide the # column if you wish 🙂

## 6. Histogram with SUM () and IF () Functions

To understand this process you have to know very well:

- How Array Formula works. Know about array formula using this link.
- How
**SUM ()**function works. Know about SUM () Function using this link. - And how
**IF ()**function works. Know about IF () Function using this link.

Again we shall use the **Income (Yearly)** column of **survey** worksheet and the following bins to make a frequency distribution.

First and last bin are of different sizes. So we have to create a different formula for these two bins and the same formula for other bins (2^{nd }to 6^{th} bins). 2^{nd }to 6^{th} bins are of the same size.

For the first bin, I create this formula in cell **J3**: **=SUM (IF (Income<=I3, 1, 0))**

For the 2^{nd} to 6^{th} bins I select cells from **J4** to **J6** and create this formula:

**=SUM (IF ((Income>I3)*(Income<=I4), 1, 0))**

And for the last bin I create this formula in cell** J7: =SUM (IF ((Income>I8), 1, 0))**

Remember that you have to enter all those three formulas as array formulas. Press **CTRL + SHIFT + ENTER** (**CSE**) keys on your keyboard to enter those formulas as array formulas.

And you get your frequency distribution.

** **

Let’s explain the formula of cell **J5** and you will be able to understand the rest of the formulas.

The formula in cell **J5** is: **=SUM (IF ((Income>I4)*(Income<=I5), 1, 0))**

**Income **is the name range of cells:** C2: C101. **Values of cells **I4** and **I5** are 70000 and 100000 respectively. So we can rewrite the formula like below:

**=SUM (IF ((C2: C101>70000)*(C2: C101<=100000), 1, 0))**

According to array formula rules, internally **IF function part** of this formula will be expanded by Excel in the following ways:

- IF ((
**C2**>70000)*(**C2**<=100000), 1, 0); it returns 0. - IF ((
**C3**>70000)*(**C3**<=100000), 1, 0); it returns 1. - IF ((
**C4**>70000)*(**C4**<=100000), 1, 0); it returns 0. - IF ((
**C5**>70000)*(**C5**<=100000), 1, 0); it returns 0. - … … … … … … … … … … … … … … … …
- … … … … … … … … … … … … … … … …
- … … … … … … … … … … … … … … … …
- IF ((
**C100**>70000)*(**C100**<=100000), 1, 0); it returns 1. - IF ((
**C101**>70000)*(**C101**<=100000), 1, 0); it returns 0.

So the whole formula becomes like this: **=SUM ({0, 1, 0, 0, …, …, …, 1, 0})**. And the sum of this array 20 is showed in cell **J5**.

You are done!

## 7. Using SUMPRODUCT () Function to make a histogram

The last way to make frequency distribution table in Excel is using **SUMPRODUCT ()** Function.

I have used the same **survey data**, the same **Income (Yearly)** column and the same **bins_array** to make the frequency distribution table. Take a look at the following image:

__Syntax of SUMPRODUCT () function:__ **SUMPRODUCT (array1, [array2], [array3], [array4] …)**

Learn more about SUMPRODUCT () function from this link.

Observe the syntax of the **SUMPRODUCT ()** function. As the arguments of **SUMPRODUCT ()** function, you can pass arrays or ranges. If you pass a range, the cell range will be treated as an array. And you know you can perform operations on arrays.

__Some examples of performing operations on arrays:__

- {1, 2, 3}*2 will generate a new array: {1*2, 2*2, 3*2} = {2, 4, 6}
- {1, 2, 3}+2 will generate a new array: {1+2, 2+2, 3+2} = {3, 4, 5}
- {TRUE, FALSE, TRUE, TRUE, FALSE}+1 = {TRUE + 1, FALSE + 1, TRUE + 1, TRUE + 1, FALSE + 1} = {2, 1, 2, 2, 1}; TRUE is treated as 1 and FALSE is treated as 0.
- {TRUE, FALSE, TRUE, TRUE, FALSE}*1 = {TRUE*1, FALSE*1, TRUE*1, TRUE*1, FALSE*1} = {1, 0, 1, 1, 0}
- {110, 20, 50}>=100 will generate a new array as {110>=100, 20>=100, 50>=100} = {TRUE, FALSE, FALSE}

**Okay, now let’s calculate the frequency distributions using the SUMPRODUCT () function.**

For the first bin and last bin I have to build two different formulas and for the other bins (2^{nd} bin to 6^{th} bin), I will build one formula and then will copy that formula to other cells.

For the first bin, in cell **J3** I write this formula: **=SUMPRODUCT (– (Income<=I3))**

For the last bin, in cell **J9** I write this formula: **=SUMPRODUCT (– (Income>I8))**

And for the other bins, in cell **J4** I write this formula: **=SUMPRODUCT ((Income>I3)*(Income<=I4))**

Now let’s explain how the formula in cell **J3** works:

You see in the formula **SUMPRODUCT ()** function uses only one array (array1). The array is: **Income; **but the array is filtered with an operation: **<=I3**. Value of **I3** is 40,000. Let’s see the step by step internal calculations:

For value of cell C2: –(Income < = I3) becomes: –(180000 <= 40000) = –FALSE = 0

For value of cell C3: –(Income < = I3) becomes: –(85000 <= 40000) = –FALSE = 0

For value of cell C4: –(Income < = I3) becomes: –(65000 <= 40000) = –FALSE = 0

For value of cell C5: –(Income < = I3) becomes: –(160000 <= 40000) = –FALSE = 0

For value of cell C5: –(Income < = I3) becomes: –(25000 <= 40000) = –TRUE = 1

… … … … … … … … … … … … … … … … … … … … … … … …

… … … … … … … … … … … … … … … … … … … … … … … …

In this way: at the end of calculations, you will get an array as: **{0; 0; 0; 0; 1; …}**

And when **SUMPRODUCT ()** function is applied on a single array, it shows the sum of that array. In this way, the cell **J3** shows 27. I think now you will be able to explain how the other formulas work.

oho! You are done with all the 7 ways.

## Download Working File

Download the working file that I have used to make this blog post from the link below:

## Wrapping Up

I have shared all the seven ways here. If you know any other way to make frequency distribution table in Excel or any question arises in your mind about the above discussion, put it in the comments section.

Happy Excelling 🙂

20 30 45 66 35

34 55 27 44 66

44 23 78 45 77

55 45 87 98 97

ques? how to insert all these values into one column in excel

Thank you this is wonderfull