Degree of Freedom Examples
Example 1: Determine the Degree of Freedom for the given set of data.
Data: 5, 7, 4, 6, 10, 12
Solution:
Number of Values, n = 6
Degree of Freedom = n-1
= 6 – 1
= 5
Example 2: Evaluate the Degree of Freedom for the given set of observations.
Observations: 1, 7, 5, 12, 17, 18, 19, 25
Solution:
Number of Values, n = 8
Degree of Freedom = n – 1
= 8 – 1
= 7
Example 3: Evaluate Degree of Freedom for the given set of observations.
- Observation 1: 1, 7, 5, 12, 17, 18, 19, 25
- Observation 2: 14, 15, 21, 29, 10
Solution:
- Number of Values in Observation 1, n1 = 8
- Number of Values in Observation 2, n2 = 5
Degree of Freedom = n1 + n2 – 2
= 8 + 5 – 2
= 11
Example 4: Evaluate the Degree of Freedom for the given set of observations.
- Observation 1: 1, 6, 5, 13, 17
- Observation 2: 12, 11, 26
Solution:
- Number of values in observation 1, n1 = 5
- Number of values in observation 2, n2 = 3
Degree of Freedom = n1 + n2 – 2
= 5 + 3 – 2
= 6
Degrees of Freedom
Degrees of freedom refer to the maximum number of logically independent values, which may vary in a data sample. Degrees of freedom are calculated by subtracting one from the number of items within the data sample.
Degrees of freedom are the maximum number of logically independent values, which may vary in a data sample. Suppose we have two choices of shirt to wear at a party then the degree of freedom is one, now suppose we have to again go to the party and we can not repeat the shirt then the choice of shirt we are left with is One then in this case the degree of freedom is zero as we do not have any choice to choose on the last day.
Let’s understand what are Degrees of Freedom, its formula, applications, and examples in detail below.
Table of Content
- What are Degrees of Freedom?
- Degrees of Freedom Definition
- Degrees of Freedom Formula
- Degrees of Freedom Example
- Degree of Freedom and Probability Distributions
- Use of Degrees of Freedom
- How to understand Degrees of Freedom
- How to Determine Degrees of Freedom?
- Applications of Degrees of Freedom
- Degrees of Freedom in Physics
- Degree of Freedom Examples
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