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For my bachelor thesis I made 5 measurements and determined the mean value of these 5 measurements and displayed it as a plot. Then I specified standard errors for error indicators. But my supervisor said, this is wrong, because Excel takes any standard deviation, but I need the average standard deviation of my 5 measurements, which I also calculated. At first I had the idea to display the standard deviation as a function, but that doesn’t make sense either. How do I get Excel to display this standard deviation properly in my chart?

2 Answers

      Community Expert Computer That’s the problem. There are 2 formulas that give different results: Note that. The correct Excel formula must be used.                 I have made an example for you. First you write =STABW.N in the line under the values, then you open a bracket, then you mark the lines from which the standard deviation should be calculated. Then close parenthesis and enter                  

What do you want to know?

   

What is the difference between standard deviation, mean and variance?

Standard deviation, mean value and variance are important statistical values that provide different key figures:

• The mean provides an average value. For example, you can determine the average number of hours your employees spend on certain tasks.
• The standard deviation is a key figure that shows how far the respective values scatter around the mean (average). Thus, the standard deviation calculates the range of dispersion.
• The variance, on the other hand, calculates the dispersion strength. Here, the aim is to determine how much the results of a survey scatter around the mean value.

How to calculate the standard deviation in Excel?

The formula to calculate the standard deviation is: =STABW.N([Zahl1];[Zahl2]). In versions older than Excel 2016, a different formula applies: =STABWN([Zahl1];[Zahl2]) [Number1] describes in both cases a member of the value groupwhose standard deviation you want to calculate. [Number2] stands for the second number.

Calculating variance and standard deviation in Excel: step by step

Excel offers two fixed formulas to calculate the standard deviation and variance so you do not have to enter the values manually into the formulas.

1. create value table and calculate mean value

• In the first step, you enter the values whose variance and standard deviation you want to calculate into an Excel table.
• In the example chart below, four values have been entered in cells A2 to D2.
• The mean value is calculated in cell E2 with the formula =Mean(A2:D2).

2. calculate standard deviation and variance

• In the example, the standard deviation is calculated in cell F2 using the formula =STABW.N(A2:D2).
• The standard deviation is a measure of the dispersion of values based on their mean (the average).
• The variance is calculated in cell H2 using the formula =VAR.S(A2:E2).

Image: screenshot Microsoft Excel 2019 Note: These instructions are based on Excel 2019. Please note that in the example chart in cell G2, the standard deviation is calculated using the formula STABW.N. With the STABW.N formula, Excel assumes that the data entered corresponds to the population. If the data only belong to a sample, you should calculate the standard deviation with the function STABW function. You should also consider the following when calculating the variance: If you calculate the variance with the VAR.S formula, Excel assumes that the data represent a sample of the population. However, if the data correspond to the population, you should calculate the associated variance with the VAR.P formula.

If you still have problems: Online-Office-Support of Excel

On the help page Excel offers an online support on the help page. If you encounter a problem while working with the program or if you want to search for a specific calculation formula, you can enter your request into the search mask here and receive help instructions. If you have a more complex question, you can also contact the contact the Microsoft support team personally. With the help of clearly arranged categories, you can easily find the responsible e-mail address to which you can contact in case of problems with Excel. Alternatively, you can solve your problem with a virtual assistant which you can also find on the Microsoft support website. In addition, users seeking help can also use social media: Here, for example, you can send your question directly to Microsoft support via Twitter.

What can you use the variance metrics for?

The variance is a measure of the dispersion of data. In principle, it’s about how far the data deviates from the mean, and it doesn’t matter whether it’s an upward or downward deviation. A low variance means that the values in the data set are close together. With a high variance lie they are more widely scattered. These ratios are used rather little in everyday business, but they can be used as a “risk measure”. This would be useful for stock transactions, for example: If you want to invest money on the stock exchange and analyze the price development of certain stocks beforehand, you could calculate the average price change per year for the last ten years for annual stock market price changes of a certain stock and then determine the variance (or the standard deviation). The result would tell you: The higher the variance, the more the stock price fluctuates (which would involve risks for you as an investor). Standard deviation, mean and variance are important parameters, which provide useful information about the distribution of data. Their calculation is not as complicated as it seems at first glance. Excel is exactly the right program to determine these values quickly and easily.