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F Distribution Calculator
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F distribution is the continuous statical distribution. F distribution calculator makes it easy to find the f distribution with the value of cumulative probability.

Two default degrees of freedom and cumulative probability is given below. The calculator will find the value of f distribution by plugging the values of the given values. When you click on "Calculate f Value", you can see the f distribution value.
 

Steps for F Distribution Calculator

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Step 1 :  

Enter the value of v1.



Step 2 :  

Enter the value of v2 and cumulative probability.



Step 3 :  

Calculate the value of f using the formula,


f = $\frac{\left [ \frac{s_{1}^{2}}{\sigma _{1}^{2}} \right ]}{\left [ \frac{s_{2}^{2}}{\sigma _{2}^{2}} \right ]}$



Problems on F Distribution Calculator

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  1. Suppose we take independent random samples of size n1 = 10 and n2 = 15 from normal populations. If the cumulative probability of the f statistic is equal to 0.65, what is the value of the f statistic?


    Step 1 :  

    Enter the value of v1 = n1-1 = 10-1 = 9



    Step 2 :  

    Enter the value of v2 = n2-1 = 15-1 = 14
    The cumulative probability = 0.65



    Step 3 :  

    Use distribution calculator and find the f value
    f = 0.261058



    Answer  :  

    f = 0.261058



  2. Suppose we take independent random samples of size n1 = 12 and n2 = 17 from normal populations. If the cumulative probability of the f statistic is equal to 0.25, what is the value of the f statistic?


    Step 1 :  

    Enter the value of v1 = n1-1 = 12-1 = 11



    Step 2 :  

    Enter the value of v2 = n2-1 = 17-1 = 16
    The cumulative probability = 0.25



    Step 3 :  

    Use distribution calculator and find the f value
    f = 0.0122443



    Answer  :  

    f = 0.0122443



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