Question

fill in the blank.
the number of _______ for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed on all data values.

the number of for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed on all data values.

Explanation:

In statistics, the degrees of freedom concept is about the number of values that can vary freely after constraints are applied. For example, when calculating a sample variance, if we know the sample mean (a constraint), one value is "fixed" and the degrees of freedom is \(n - 1\) (where \(n\) is the sample size). The description in the blank - about sample values that can vary after restrictions - directly matches the definition of degrees of freedom.

Answer:

degrees of freedom