Normal Distribution Graph in Excel

Normal distribution graph in excel is used to represent the normal distribution phenomenon of a given data, this graph is made after calculating the mean and standard deviation for the data and then calculating the normal deviation over it, from excel 2013 versions it has been easy to plot the normal distribution graph as it has inbuilt function to calculate the normal distribution and standard deviation, the graph is very similar to the bell curve.

Excel Normal Distribution Graph (Bell Curve)

A normal distribution Graph is a continuous probability function. We all know what probability is; it is a technique to calculate the occurrence of a phenomenon or a variable. A probability distribution is a function that is used to calculate the occurrence of a variable. There are two types of probability distributions, Discreet and continuous.

The basic idea of what is a normal distribution is explained in the overview above. BY definition, a normal distribution means how evenly the data is distributed. A continuous probability distributionProbability DistributionProbability distribution is the calculation that shows the possible outcome of an event with the relative possibility of occurrence or non-occurrence as required. It is a mathematical function that gives results as per the possible events.read more is used to calculate real-time occurrences of any phenomenon. In mathematics, the equation for a probability distribution is as follows:

Equation for probability Distribution

Seems so complex, right? But excel has made it easier for us to calculate normal distribution as it has a built-in function in excel of the normal distribution. In any cell type, the following formula,

Normal Distribution Formula

It has three basic factors to calculate the normal distribution in excel:

  1. X: X is the specified value for which we want to calculate normal distribution.
  2. Mean: Mean is whereas average of the data.
  3. Standard_Dev: Standard Deviation is a function to find the deviation of the data. (It has to be a positive number)

The graph we plot on this data is called a normal distribution graph. It is also known as a bell curve. What is the bell curve? A bell curveBell CurveBell Curve graph portrays a normal distribution which is a type of continuous probability. It gets its name from the shape of the graph which resembles to a bell. read more is a common distribution for a variable, i.e., how evenly a data is distributed. It has some. The chart we plot can be a line chart or scatter chart with smoothed lines.

Normal Distribution Graph in Excel

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How to Make a Normal Distribution Graph in Excel?

Below are the examples of normal distribution graphs in excel (Bell Curve)

You can download this Normal Distribution Graph Excel Template here – Normal Distribution Graph Excel Template

Normal Distribution Graph Example #1

First, we will take a random data. Let us take values from -3 to 3 in column A. Now we need to calculate mean and standard deviation in excelStandard Deviation In ExcelThe standard deviation in excel shows the variability of the data values from the mean (average). The STDEV and STDEV.S calculate sample standard deviation in Excel, while STDEVP and STDEV.P compute population standard deviation.read more before calculating the normal distribution, and then we can make the excel normal distribution graph.

So, have a look at the data below.

Normal Distribution graph Example 1

Follow the below steps:

  1. First, calculate the mean of the data, i.e., an average of the data; in Cell D1, write the following formula.

    Normal Distribution graph Example 1-1

  2. Press enter to get the result.


    Normal Distribution graph Example 1-2

  3. Now we will calculate the standard deviation for the given data, so in the cell, D2 write the following formula.


    Normal Distribution graph Example 1-4

  4. Press enter to get the result.


    Normal Distribution graph Example 1-5

  5. Now in cell B2, we will calculate the normal distribution by the built-in formula for excel. Write down the following formula in cell B2.


    Normal Distribution graph Example 1-6

  6. The formula returns the result, as shown below:


    Normal Distribution graph Example 1-7

  7. Now drag the formula to cell B7.


    Normal Distribution graph Example 1-8

  8. In cell B2, we have the normal distribution for the data we have chosen. To make a normal distribution graph, go to the Insert tabInsert TabIn excel “INSERT” tab plays an important role in analyzing the data. Like all the other tabs in the ribbon INSERT tab offers its own features and tools. Under Insert Tab we have several other groups including tables, illustration, add-ins, charts, Power map, sparklines, filters, etc.read more, and in Charts, select a scatter chart with smoothed lines and markers.


    Normal Distribution graph Example 1-9

  9. When we insert the chart, we can see that our bell curve or normal distribution graph is created.


    Normal Distribution graph Example 1-10

The above chart is the normal distribution graph for the random data we took. Now we need to understand something first before we move on to a real-life example of data. Standard Deviation S means Standard Deviation Sample because in real data analysis, we have a huge chunk of data, and we pick a sample of data from that to analyze.

Normal Distribution Graph Example #2

Moving on to a real-life example. The more the data we have, the more smooth line we will get for our bell curve or excel normal distribution graph. To prove that, I will take an example of employees and their incentives achieved for the current month. Let us take an example for 25 employees.

Consider the below data.

Normal Distribution graph Example 2
Normal Distribution graph Example 2-1

The Mean of the data is 13,000.

Normal Distribution graph Example 2-2
  • Now let us find the standard deviation for the data. Type the following formula.
Normal Distribution graph Example 2-3

The standard deviation for the data is 7359.801.

Normal Distribution graph Example 2-4
  • As we have calculated both mean and the standard deviation, now we can go ahead and calculate the normal distribution for the data. Type the following formula.
apply formula Example 2-5
  • Normal distribution Function returns the result, as shown below:
apply formula Example 2-6
  • Drag the formula to cell B26.
apply formula Example 2-7
  • Now, as we have calculated our normal distribution, we can go ahead and create the bell curve of the normal distribution graph of the data. In the Insert tab under the charts, section click on scatter chart with smoothed lines and markers.
insert graph Example 2-8
  • When we click ok, we see the following chart created,
Normal Distribution graph Example 2-9

We took 25 employees as the sample data; we can see that in the horizontal axis, the curve stops at 25.

The above chart was the normal distribution graph or bell curve for the data for employees and the incentives they achieved for the current month.

Excel Normal Distribution is basically a data analysis process that requires few functions such as mean and standard deviation of the data. The graph made on the normal distribution achieved is known as the normal distribution graph or the bell curve.

Things to Remember About Normal Distribution Graph in Excel

  1. Mean is the average of data.
  2. Standard Deviation should be positive.
  3. The horizontal axis represents the sample count we picked for our data.
  4. Normal Distribution is also known as the bell curve in Excel.

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This has been a guide to the Normal Distribution Graph in Excel. Here we look at how to create a Normal Distribution Graph in Excel with a downloadable excel template. You may learn more about excel from the following articles –

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