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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

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

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

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