Weibull Distribution in Excel (WEIBULL.DIST)

Explanation

We have already learned that the Weibull distribution is a continuous probability distribution. And Weibull distribution function in Excel of two types:

  • Weibull Cumulative Distribution FunctionWeibull Probability Density Function

The only difference between the two types of Weibull distribution function is the cumulative logical argument,

Weibull cumulative distribution function takes “True” as a cumulative argument. In comparison, the Weibull probability density function takes “False” as a cumulative argument.

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How to use Weibull Distribution in Excel? (with Examples)

We need to have three values to use the Weibull distribution: X, alpha, and beta.

  • X is a value to the function.Alpha is a parameter to the function.Beta is also a parameter to the function.Cumulative is a logical argument that can be either true or false, depending upon the type of Weibull distribution function we are trying to use. For example, if we use the Weibull cumulative distribution function, the cumulative value will be “True,” or the Weibull probability density function, then the cumulative value will be “False.”

Example #1

X is valued at which we evaluate the function, alpha, and beta. That is because both are the parameters of the function.

Example #2

We have seen that inserting “True” in the cumulative value gives us Weibull’s cumulative distributive value. On the other hand, if we insert “False” at the cumulative, it gives us the Weibull probability density value. Let us go with the first example.

  • Give value to the WEIBULL.DIST function, for example, 100 Now, let us give the parameter to the function,n, i.e., Alpha and Beta. In the “Weibull Distribution Box”, Type: Then, press the “Tab” button and click on the “fx” function button. A dialog box pops up. In the box for “X,” select the value against the value of the function. For the function’s parameter, select the Alpha and Beta values. Cumulative is a logical value that can be either “True” or “False,” Both have different meanings. So, let us insert “True” first. Click on it. We get the result for Weibull distribution. The above value calculation Weibull’s cumulative distribution. For this, the cumulative value should be “True.”

The above value calculation Weibull’s cumulative distribution. For this, the cumulative value should be “True.”

We have seen that X is valued at which we evaluate the function. Alpha and Beta are both the parameters of the function. Let us again use this function in Excel.

  • Step#1 – We will again give a value to the function, i.e.190, for this case.

  • Step#2 – Now, we give a parameter to the function: Alpha and Beta.

  • Step#3 – Now, in the “Weibull distribution box” type:

  • Step#4 – Press “Tab” and click on the “fx” function bar.

  • Step#5 – A dialog box appears for the “Function Arguments.”

  • Step#6 – Now, we will give the functions and the parameters’ values: Alpha and Beta.

  • Step#7 – Previously, we inserted “True” as the value in cumulative now. We will insert “False” as a value in the cumulative logical value.

  • Step#8 – Click “OK.” We will get our desired value.

The value above calculated is Weibull probability density.

Things to Remember

  • X, a value to the function, is a non-negative number and cannot be zero, so it should be greater than zero.Alpha and beta, the function parameters, must also be equal to or greater than zero.We get two types of errors in ExcelErrors In ExcelErrors in excel are common and often occur at times of applying formulas. The list of nine most common excel errors are - #DIV/0, #N/A, #NAME?, #NULL!, #NUM!, #REF!, #VALUE!, #####, Circular Reference.read more Weibull Distribution.#NUM!: This error comes when the value of x is less than zero.#Value!: This error comes if any arguments given are non-numeric.

This article has been a guide to Weibull distribution in Excel. Here, we discuss how to use the WEIBULL.DIST function, along with practical examples and downloadable Excel templates. You may learn more about Excel from the following articles: –

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