Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Inferential Statistics

Question:

If a sample has '$n$' observation $x_1, x_2 ..... x_n$ with '$m$' constraints on these values then degree of freedom of sample statistic is:

Options:

$\frac{n -m}{2}$

$\frac{n + m}{2}$

$n + m$

$n-m$

Correct Answer:

$n-m$

Explanation:

The correct answer is Option (4) → $n-m$ **

Degree of freedom represents the number of independent observations available.

If there are $n$ observations but $m$ constraints linking them, then only $n-m$ observations are free to vary.