# How to Calculate Standard Error in Excel?

Microsoft Excel’s mathematical capabilities are usually beyond the scope of an average user. However, the addition of statistical functions in Excel makes it a must-have application for any individual that uses or manages any type of statistical data. One of the basic statistical requirements is to calculate the standard error or standard error of the mean (S.E.M).

But unlike many other functions, Excel is yet not equipped with a direct formula to calculate the standard error, which makes the process a bit difficult. But no need to worry, we will guide you step by step.

## Definition and Importance of Standard Error

The standard error (S.E.) of a sample tells how accurate its mean is as compared to the true mean of the population as working with the entire population in the real-world data is usually not possible. So sampling is used. It also helps in identifying the variation or dispersion of different data samples and also helps in estimating your samples’ reliability.

## Standard Error Formula

In Statistics, Standard Error is equal to Standard Deviation divided by the square root of the size of the sample i.e.,

Standard Error= Standard Deviation/√n

Where n is the sample size.

## Standard Error Formula in Excel

Calculating standard error from the above formula is a routine matter for many statisticians but using automatic calculations through Excel can greatly enhance your efficiency and accuracy. As discussed earlier, the standard error is equal to the standard deviation divided by the square root of your sample size, so, in Excel, we can calculate the standard deviation by the following formula

STDEV(number1,number2)

Keep in mind, that the **STDEV** function is the same as **STDEV.S** as it calculates the standard deviation of a sample, whereas, STDEV.P is different as it is applied to the whole population, not just the sample.

To **count** the sample size in Excel:

COUNT(number1,number2)

And to calculate the **square root** of the count, the formula would be

SQRT(COUNT(number1,number2))

So, the formula for **Standard Error** in **Excel** would be

STDEV(number1,number2)/ SQRT(COUNT(number1,number2))

For example, if your sample is located from B1 cell to G4 cell, then the formula for standard error would be

STDEV(B1:G4)/SQRT(COUNT(B1:G4))

## Calculating Standard Error In Excel

Calculating standard error in Excel can be easily divided into the following steps:

### Prepare Your Sheet and Enter your data

Firstly, you should **prepare your sheet** and **enter your data**. Also, it will be good to add **descriptive labels** as column headings. For this, you may use the sheet as shown in the image where B2 to B11 is the sample data.

There are two main ways you can calculate the Standard Error. One is through a series of separate formulas and one is to nest all the formulas together. First, we will discuss using separate formulas.

### 1.1: Calculate Standard Deviation

- Click in the
**B12**cell of the Excel sheet and press the**=**sign. - Now type
**STDEV(**and then**select**the**B2 to B11**range. - Then press the
**)**key and hit the**Enter**key. Now the Standard Deviation of the sample data will be shown to you.

### Count the Sample Size

- Click in the
**B13**cell and press the**=**sign. - Now type
**Count(**and then select the**B2 to B11**range. - Then press the
**)**and hit the**Enter**key. Now the calculated size of the sample data will be shown to you.

### 1.2: Calculate the Square Root of the Sample Size

- Click in the
**B14**cell and press the**=**sign. - Now type
**SQRT(**and select the**B13**cell (where the count of the sample size is present). - Then press the
**)**key and hit the**Enter**key. Now calculated value of the square root of the sample size will be shown to you.

### 1.3: Calculate Standard Error

- Click in the
**B15**cell and press the**=**key. - Now select the
**B12**cell (where the standard deviation is calculated) and press the**/**key. - Then select the
**B14**cell (where the square root of sample size is calculated) and press the**Enter**key. - Now the standard error, calculated by Excel will be shown to you.

### 2: Use a Single Formula to Calculate Standard Error In Excel

Some of our readers may not feel comfortable with using 4 formulas to calculate Standard Error, no need to worry, you can calculate Standard Error by only using a single formula (basically, we split the formula to make the concept clear to newbies). As you have understood the process, you can use the single formula wherever you want to calculate standard error by using Excel.

- Click in the
**B16**cell and press the**=**key. - Now type
**STDEV(**and select the range of**B2 to B11**. - Then press the
**)**key and afterward, press the**/**key. - Now type
**SQRT(Count(**and**select**the range of**B2 to B11**. - Then press the
**)**key twice and hit the**Enter**key. The complete formula will be:=STDEV(B2:B11)/SQRT(Count(B2:B11))

- Ta-da, the standard error calculated by Excel is shown to you by using a single formula.
- If you want to calculate the standard error of
**C2 to C11**, simply**drag**the**formula**from**B16**cell to**C16**cell and the standard error of that range will be calculated within the blink of an eye. Just think, how much time and energy the manual calculations would have taken.

## 3: Use Analysis Toolpak to Calculate Standard Deviation and Count In Excel

You can also use the data analyzing capabilities of Excel to calculate standard deviation and count, which can then be used to calculate Standard error.

- Launch
**Excel**and open its**File**menu. - Now expand
**More**and select**Options**. - Then, in the left pane, head to the
**Add-ins**tab, and the right pane, select**Analysis Toolpak**. - Now, near the bottom of the screen, click on
**Go**, and then, in the pop-up shown, tick the checkbox of**Analysis ToolPak**. - Then click on the
**OK**button and**wait**till the installation completes. - Now, open the
**sample sheet**(discussed above) and head to its**Data**tab. - Then click on
**Data Analysis**and select**Descriptive Statistics**. Afterward, click on**OK**. - Now select
**B1 to B11**(B1 contains label) as the**Input Field**and select the radio button of**Columns**. - Then tick the
**checkbox**of**Labels in First Row**and checkmark the checkbox of**Summary Statistics**. - Now select the radio button of
**Output Range**and select the output range like**D2 to F20**. - Then click
**OK**and you can easily find the**standard deviation**value along with**count**in the summary. - Now you can calculate standard error by using these values.

Dear readers, if you have any queries in calculating Standard Error in Excel, do not hesitate to ask in the comments.