List of top Statistics Questions asked in CUET (PG)

If the null hypothesis \(H_0\) is rejected when it is actually true, what type of error has been committed?
What is the degree of freedom for a Chi-square test used in a \(3 \times 4\) contingency table?
Find the limit of \( \left(1 + \frac{1}{n}\right)^n \) as \(n \to \infty\).
In a negatively skewed distribution, what is the correct relationship between the Mean, Median, and Mode?
What is the value of the integral \( \displaystyle \int_{-\infty}^{\infty} e^{-x^2}\,dx \)?
Which test is most appropriate for testing the significance of the difference between two small sample means?
A bag contains \(5\) red and \(7\) blue balls. If two balls are drawn at random, what is the probability that both are red?
If the correlation coefficient between \(X\) and \(Y\) is \(0.8\), what is the coefficient of determination?
In Simple Random Sampling Without Replacement (SRSWOR), what is the probability of selecting a specific unit at the second draw?
What is the rank of a \(3 \times 3\) identity matrix added to a \(3 \times 3\) null matrix?
In a Normal distribution, what percentage of data falls within two standard deviations of the mean?
If a matrix \(A\) has eigenvalues \(2\) and \(3\), what are the eigenvalues of the matrix \(A^2\)?
Which property of an estimator is satisfied if its expected value equals the population parameter?
For a Poisson distribution where the mean is \(4\), what is the value of the third central moment?
If \( P(A) = 0.4 \), \( P(B) = 0.5 \), and \(A\) and \(B\) are independent events, what is the value of \( P(A \cup B) \)?
A classroom where students from diverse backgrounds and abilities learn together is known as what?
What is the full form of 'DIKSHA', the national digital infrastructure for teachers?
Article 21A of the Indian Constitution is related to which fundamental right?
Who is known as the "Father of the Indian Constitution"?
Which philosopher is famously associated with the concept of "Learning by Doing"?
If 'All Teachers are Mentors' and 'Some Mentors are Authors', is the conclusion 'All Teachers are Authors' definitely true?
A man walks 5 km South, turns left and walks 3 km, then turns left again and walks 5 km. In which direction is he from the starting point?
If a student is consistently disruptive in class, what is the most pedagogically sound first step for a teacher?
Who was the chairman of the committee that drafted the National Education Policy (NEP) 2020?
According to NEP 2020, what is the new pedagogical structure that replaces the 10+2 system?