Formula: X mean = 0.5+ZX = mean = 0.5Z = (X-m) / σWhere,m = Meanσ = Standard DeviationX = Normal Random VariableBell Curve:'Bell curve' is a curve in the shape of a bell in the graph sheet, obtained as a result of the normal distribution, also referred to as Gaussian distribution. It is created when a line is plotted using the data points for an item that meets the criteria of 'normal distribution'.Normal Distribution:Normal distribution, also known as Gaussian distribution, is used in social sciences to represent real-valued random variables whose distribution are not known.
Here all the values are plotted in a symmetrical fashion, with most of the results or values situated around the probability's mean.This online bell curve calculator will help you dynamically calculate the Gaussian distribution value and to draw the bell curve online. In this normal distribution curve generator, you can set the whether the curve should be 'left tailed' or 'right-tailed' or 'two-tailed' by entering appropriate values lesser than or greater than X.
Simple Example of Calculating Standard Deviation. Let's say we wanted to calculate the standard deviation for the amounts of gold coins pirates on a pirate ship have. There are 100 pirates on the ship. In statistical terms this means we have a population of 100. This has been a guide to Relative Standard Deviation Formula. Here we discuss how to calculate Relative Standard Deviation along with practical examples. We also provide a Relative Standard Deviation calculator with downloadable excel template. You may also look at the following articles to learn more – How to Calculate Sharpe Ratio Using Formula.
Excel functions, formula, charts, formatting creating excel dashboard & othersThere are two types of Standard Deviations;. Low Standard Deviation. High Standard DeviationLow Standard Deviation has a value of standard deviation close to mean value by this the curve becomes more stiff at the top and small towards the bottom.
Where as in High Standard Deviation, standard deviation has value away from mean value with this curve becomes smooth at the top and wider towards the bottom. How to Use Standard Deviation Formula in Excel?Let’s understand how to calculate Standard Deviation in Excel using formula using some examples and how to plot a graph of Standard Deviation in Excel. You can download this Standard Deviation Formula Excel Template here –Syntax for Standard Deviation Formula in Excel –Standard Deviation formula can be used from Insert Function which is situated beside the formula bar by clicking on the fx icon.Standard Deviation Formula in Excel – Example #1We have sample sales data of a product, where we observed the huge deviation in the sale for 10 days.
So, now let’s see and calculate how much deviation we are getting for the selected data set.For calculating standard deviation first, go to the cell where we need the output. Then go to insert function option located besides formula bar as shown below. Once we do that, we will get the Insert Function box. Now from here select Standard Deviation function which is available as STDEV from Statistical category from the Or select a category or from there select ALL category to look for required function as shown below.
Once we are done with selecting the function, click on OK.Once we click on OK, it will take us to Function Argument of Standard Deviation. Now we will see two number ranges, Number1 and Number2. Go to Number1 and select the complete range. Here we have selected range from cell B2 to B10.Note – Any number range can accommodate only 255 cell count. If it exceeds, we can use Number2, Number3 as so on.As we can see in the above screenshot, for the selected range we already have formula result at the bottom left of the box.
If the selected range is incorrect then there will not be any value shown.After clicking on OK, we can see the standard deviation of the selected range in the selected cell.Now let’s understand, what it means. As we can see our standard deviation value is showing as 23.16127, which means for the selected range if our mean comes as 31.22 then selected range can deviate 23.16127 about the mean value. Standard Deviation Formula in Excel – Example #2There is another way to calculate Standard Deviation formula in Excel. For that let’s consider the same data which we have seen in the above example.For calculating standard deviation formula in excel, go to the cell where we want to see the result and type ‘=’ ( Equal) sign. This will enable all the inbuilt functions in excel. Now, search for Standard Deviation by typing STDEV which is the key word to find and select it as shown below.Now select the complete range. Here we have selected the range from cell B2 to B10.Press Enter to come out of the edit mode and we will see the calculated value of standard deviation as shown below.As we can see the standard deviation value is coming as 23.16127.
We can also calculate the mean value of the same data, to compare how much deviation of data we are getting about the mean value with the help of AVERAGE formula.For the demonstration, we have shown how standard deviation and mean are connected with each other. The mean value 31.222 is at the center line of the whole range and Standard Deviation is little far away from the mean value.
It can be towards both sides of the mean.Also, for the value which has decimal digits up to 4 and 5 we can make it in round figure by using ROUND function before the standard deviation. For the type ROUND before STDEV and select the numdigit as 0 as shown below. Once we press Enter, we will get the round figure value of standard deviation as shown below.