how to find z score in excel

Excel Z Score (Tabular array of Contents)

• Z Score in Excel
• How to Summate Z Score in Excel?

Z Score in Excel

Z Score is used for statistical measurement. It is also known equally a standard score. The value of the Z score is the measurement of the number of standard deviations a specific number is higher up or below a hateful.

The beneath formula is used to calculate the Z score:

Z = (x- µ) / σ

Where the supplied arguments are as below:

• Z = Information technology denotes the Z score value.
• 10 = The value to be standardized.
• µ = Mean of the given information set up values.
• σ = Standard divergence of the given data ready values.

How to Calculate Z Score in Excel?

Calculation of Z Score in excel is very simple and piece of cake. Let'due south sympathize how to calculate the Z score in excel with some examples.

You can download this Z Score Excel Template here – Z Score Excel Template

Excel Z Score – Example #i

We accept given marks of some students as below:

Now for calculating Z Score, we need to notice out the Mean and standard deviation of the given dataset in excel.

Mean (or Boilerplate) calculation:

For finding the boilerplate, follow the below steps:

Step 1 – Go to the Formulas tab. Click on More than Functions options nether the Functions Library department.

Step 2 – At present click on the Statistical functions category from the drop-downwardly list. Information technology volition once more open up a list of functions. Click on the Average function as shown below.

Step 3 – Information technology will open up a Function Arguments dialog box. Enter the Range from Cells B4:B13 under field Number1 and click on OK.

• It volition give yous the Average or Mean value.

Standard Deviation calculation:

For finding the standard deviation, follow the below steps:

Step 1 – Get to the Formulas tab. Click on More Functions nether the Part Library department.

Step 2 – Click on the Statistical Office category from the drop-downwardly listing. It volition open a listing of functions. Click on STDEVPA from the list as shown in the below screenshot.

Step 3 – Information technology will open a Function Arguments dialog box. Enter the cells range from B4:B13 under field Value1 and click on OK.

• It will give yous the standard divergence value.

At present we have to calculate the Z score values in excel. For this, follow the below screenshots:

• Go to the FORMULAS tab. Click on the More Functions choice nether the Function Library section.

• And then a drop-down list of functions will open up. Click on Statistical functions from the list. Information technology will open a list of functions. Click on STANDARDIZE function from the list as per the below screenshot.

• Then it volition open up a Function Arguments dialog box. Enter the Jail cell value B4 under field Ten.

• Enter the Mean value in the second field, Mean, which is mentioned under Cell B15.

• Enter the Standard Deviation value in the third field, Standard_dev, which is mentioned under Cell B16. Click on OK.

• The result volition be as given below.

• Elevate this formula for the rest values, and it will pop upwardly the Z score values in excel equally shown beneath:

Explanation

• If we analyze the data, the highest Z score value is ii.082778, which is the Z score value of Nick Chocolate-brown, who has achieved the highest score in the exam.
• The smallest Z score value is -0.98521, which is the lowest Z score value of Adrian Steve, who has achieved the lowest score in the test.
• There can be positive and negative values in Z scores.
• Students who have accomplished scores more than than the mean value get positive Z scores.
• Students who have accomplished scores less than the mean value get negative Z scores.
• If the Z score is aught, that ways the pupil'south score is the same as the mean value.

Excel Z Score – Case #2

We accept given the below data values.

To summate the Z score or standard score, we demand to make up one's mind the offset mean and standard divergence in excel.

• Let's apply the AVERAGE formula for calculating the hateful of the given dataset.

• It will give you the Average or Mean value.

For calculating standard difference, allow'due south apply the STDEVPA part for the given data values equally per the below screenshot.

• It will give you the standard departure value.

• Now we will summate Z score values in excel. For this, apply the STANDARDIZE function for the given data values as per the beneath screenshot.

• The result volition be every bit given below.

• Elevate this formula for the rest values. The Final event is given below:

As we tin encounter, the positive value of Z scores are higher than the mean value, and the negative value of Z scores are lower than the hateful value.

Things to Remember

• The Z score tells united states a number of standard deviations that are abroad from the mean of the distribution or dataset.
• The information values which are higher than the mean Z score will exist a positive value.
• Information values which are below the hateful Z score volition exist a negative value.
• The z score value is probably used for statistical analysis.

Recommended Manufactures

This has been a guide to Z Score in Excel. Hither we discuss how to calculate Z Score in excel along with practical examples and a downloadable excel template. You lot tin can also become through our other suggested articles –

1. Excel AVERAGE Function
2. Standard Deviation in Excel
3. Z TEST in Excel
4. Excel Frequency Distribution

Source: https://www.educba.com/z-score-in-excel/

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